± Escape Velocity Learning Goal: To introduce you to the concept of escape velocity for a rocket. The escape velocity is defined to be the minimum speed with which an object of mass m must move to escape from the gravitational attraction of a much larger body, such as a planet of total mass M. The escape velocity is a function of the distance of the object from the center of the planet R, but unless otherwise specified this distance is taken to be the radius of the planet because it addresses the question "How fast does my rocket have to go to escape from the surface of the planet?"
The key to making a concise mathematical definition of escape velocity is to consider the energy. If an object is launched at its escape velocity, what is the total mechanical energy Etotal of the object at a very large (i.e., infinite) distance from the planet? Follow the usual convention and take the gravitational potential energy to be zero at very large distances.
Etotal=
Consider the motion of an object between a point close to the planet and a point very very far from the planet. Indicate whether the following statements are true or false.
-Angular momentum about the center of the planet is conserved. (t/f)
-Total mechanical energy is conserved. (t/f)
-Kinetic energy is conserved. (t/f)

Answers

Answer 1

According to the concept of escape velocity angular momentum, total mechanical energy and kinetic energy are conserved.

All statements are true.

In celestial mechanics, escape velocity, also known as escape speed, is the bare minimum speed required for a free, unpropelled object to break free of a main body's gravitational pull and travel to infinity away from it. Usually, air friction is ignored and it is stated as an ideal speed.

Escape velocity is the speed at which a body must be moving in order to escape the gravitational pull of a planet or moon and continue on its way without additional propulsion. For instance, in order to leave the Earth's surface without crashing back to the planet's surface or entering orbit, a spaceship needs to be travelling at a speed of 7 miles per second, or around 25,000 miles per hour.

Learn more about escape velocity:

https://brainly.com/question/31201121

#SPJ4


Related Questions

Find the magnitude of the magnetic field at the center of a 63 turn circular coil with radius 18.1 cm , when a current of 3.21 A flows in it.

Answers

The magnitude of the magnetic field at the center of a 63-turn circular coil with a radius of 18.1 cm and current 3.21 A is 70.165×10⁻⁵T.

Given information,

Number of turns, n =63

radius, r = 18.1 cm = 18.1 × 10⁻² m

current, I = 3.21 A

The field that is generated by a moving charge, or a field around a magnet, is called a Magnetic field.

S.I. unit - Tesla (T).

The Magnetic field due to the circular current-carrying coil,

B = μNI/2r

B =  (4π × 10⁻⁷×63×3.21)/18.1 × 10⁻²×2

​B = 70.165×10⁻⁵T

Hence, the magnitude of the magnetic field at the center of a 63-turn circular coil with a radius of 18.1 cm is 70.165×10⁻⁵T

To learn more about Magnetic field, here:

https://brainly.com/question/23096032

#SPJ4

Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.

Answers

The star is moving away from Earth at a velocity of 1.8 x 106 m/s.

The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.

The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.

The velocity of a star moving away from Earth can be determined using the equation:

v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).

In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.

The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.

Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.

Therefore, velocity of star 1.8 x 106 m/s.

To know more about Doppler Effect visit:

https://brainly.com/question/28106478

#SPJ11

What is artificial insemination as used in animal production

Answers

Answer:

i hope this helps!

Explanation:

Artificial Insemination (AI) is an Assisted Reproductive Technology (ART) used worldwide to deposit stored semen directly into a cow or heifer's uterus. It is a tool for improving reproductive performance and genetic quality of livestock.

source: https://nwdistrict.ifas.ufl.edu/phag/2020/05/29/tips-for-successful-artificial-insemination-of-cattle/

Pa help po asap.....

Pa help po asap.....

Answers

Answer:

Blue light, shorter wavelength, brighter

Explanation:

The color of a beam of light depends on the wavelength of the light

The wavelength of blue light is short and ranges from 450 nanometers to 495  nanometers, while the the wavelength of red light is longer and ranges from 620 to 750 nm

However, the energy of the photons that produce red light are lower than those that produce blue light, therefore, blue light have higher radiant energy, and is therefore, brighter than red light

Therefore;

Blue light have shorter wavelength, (and it is) brighter (than red light, when produced from a given area)

which best describes the primary difference between asteroids and comets?

Answers

The basic difference between asteroids and comets is their composition, the material of which they are made up of. Asteroids are made up of hard rocky substances but comets on the other hand are made up of ice and smoky dust particles in our space.

Asteroids and comets are both celestial bodies and are continuously present in our solar system. Asteroids orbit the Sun continuously and are small bodies in our solar system. They are made up of metals and rocky substance and also consist of organic compounds and metals. Asteroids tend to have shorter and elliptical orbits. Astronomers have discovered millions of asteroids in number in which some of them are hundreds of kilometres across and some as small as dust particles. Comets also orbit the Sun and are relatively small bodies of the solar system. When comets come nearer to Sun, the sun, some part of their ice melts. When some parts of their ice melt, the other materials that are present in them  vaporize due to the immense heat provided by the sun. This results in a glowing effect that is sailing through space. The ice and compounds like ammonia and methane develop a fuzzy cloud-like shell and sometimes it is like a cloud floating known as the coma. This is a notable difference between comets and asteroids but the basic difference between asteroids and comets is their composition, the material of which they are made up of.

Learn more about Celestial bodies:

brainly.com/question/28876984

#SPJ4

On the balloon simulation what do the red circles represent? What kind of charge do they have

Answers

In the balloon simulation, the red circles represent positive charges.

Electrostatics is the branch of physics that studies electric charges at rest. The interaction between electric charges is the foundation for electrostatics. These interactions can either be repulsive or attractive, depending on the types of charges. Electrostatics plays an important role in many aspects of our daily lives.
For example, we use it in the design of electrical circuits, lightning rods, and particle accelerators. The simulation demonstrates the following electrostatic principles: Like charges repel and opposite charges attract.

Each balloon has an equal amount of positive and negative charges when it is neutral.When a balloon is rubbed, electrons are transferred from one surface to the other, creating an imbalance of positive and negative charges.The excess charge is spread over the surface of the balloon. This charge creates an electric field.

As the balloon is rubbed, some of the electrons from the balloon's surface are transferred to the wool. The balloon becomes positively charged while the wool becomes negatively charged. As the balloon is brought closer to the wall, the positive charges on the surface of the balloon repel the positive charges on the surface of the wall.

This repulsion results in the balloons sticking out from the wall, indicating that the charges on the balloon are repelling the charges on the wall.The red circles in the simulation represent the positive charges.

For more such questions on charges visit:

https://brainly.com/question/2373424

#SPJ8

why doesn't the moon fall toward earth like apples do?

Answers

The moon doesn't fall toward the Earth like apples do because it is in a state of constant freefall, known as orbit. This is due to the balance between the force of gravity pulling the moon towards the Earth and the moon's own inertia.

The moon doesn't fall toward the Earth like apples do because it is in a state of constant freefall, known as orbit. The moon orbits around the Earth due to the force of gravity. Gravity is the force of attraction between two objects with mass. In this case, the Earth's gravity pulls the moon towards it, but the moon also has its own motion called inertia. Inertia is the tendency of an object to resist changes in its motion.

When the moon was formed, it was already moving forward with a certain velocity. As it falls towards the Earth due to gravity, it also moves forward, resulting in a curved path known as an orbit. This balance between the gravitational force and the moon's inertia keeps it in a stable orbit around the Earth.

Learn more:

About moon here:

https://brainly.com/question/30653068

#SPJ11

Vector B has x, y, and 2 components of 3.4,
2.9, and 8.6 units, respectively.
Calculate the magnitude of B.

Answers

Answer:

how to make a face mask with fabric ties with the new one is a block away from the new house in the new house

Explanation:

hope it help

1. Describe the work done as positive, negative or no work

cable is attached to a bucket and the force of tension is used to pull the bucket out of a well.


2. Describe the work done as positive, negative or no work

A busy spider hangs motionless from a silk thread, supported by the tension in the thread.


3. Describe the work done as positive, negative or no work

Rusty Nales uses a hammer to exert an applied force upon a stubborn nail to drive it into the wall

Answers

Positive work is done when an object is moved in a positive direction. When an object is moving in the same direction as the force being applied, this is considered positive work. As an illustration, an object falling to the ground does so in the direction of gravity.

The work is referred to be positive work done since gravity is pushing downward in the direction of the falling object. Every force used to move an object in a particular direction constitutes work. We distinguish between positive and negative work done based on whether an object moves in the direction of the force or away from it. Work performed is considered to be 0 if there is absolutely no displacement. It is crucial to keep in mind that whereas force and displacement are both vector concepts, work is a scalar quantity.

Learn more about positive work here:

https://brainly.com/question/10063455

#SPJ4

Chich expression correctly describes force using Sl units
O A. 1 N = 1 kg-m/s2
B. 1 N = 1 kg.m/s
C. 1 J = 1 kg-m/s?
D. 1 J = 1 kg m/s

Answers

Answer:1 N = 1 kg·m/s2

Explanation:

how did barnett newman increase the capacity of color to communicate emotion?

Answers

Barnett Newman, an American abstract expressionist painter, increased the capacity of color to communicate emotion by using color in an abstract way. Newman is well-known for his "zip" paintings, which are large canvases divided by a vertical line of color. He argued that the viewer's experience of these paintings was not just visual but physical, invoking emotions like awe, transcendence, and mystery.

He believed that his use of color had the capacity to evoke a spiritual experience in viewers. In his work, he made extensive use of large fields of pure color, which he believed had the power to convey deep emotions and spiritual states. He aimed to create an almost mystical experience for the viewer by immersing them in the color and allowing them to feel its intensity and purity.

In conclusion, Barnett Newman increased the capacity of color to communicate emotion by using pure color fields in his abstract paintings, which evoked a sense of awe, transcendence, and mystery, which he believed had the capacity to create a spiritual experience for the viewer.

To know more about Barnett Newman visit :

brainly.com/question/32382532

#SPJ11

PLEASE HELP WILL GIVE BRAINLIEST!!! DUE SOON!! GIVE ME 2 REASONS WHY

why is water further away from the shore colder the further you go?

Answers

cold water has a higher density than watm water. water gets colder with depth because of the cold, salty ocean water sinks to the bottom of the ocean basins below the less dense water near the surface

Answer:

★ For example, cold water has a higher density than warmer water. In Addition, water gets colder with depth because of the coldness, of the salty ocean water which sinks to the bottom of the ocean basins below the less dense water near the surface

Explanation:

Hope you have a great day :)

When the Milky Way Galaxy and the Andromeda Galaxy are 3 times closer to one another, the gravitational force between them will become

Answers

Answer:

the gravitational force between them will become Answer 9 times stronger

Explanation:

because the gravitational force is inversely proportional to  the square of the distance between the two objects.

A body moves uniform acceleration of 10m/s² covers a distance of 320m if it's unitial velocity was 60m/s. Calculate its final velocity

Answers

Knowing the acceleration, distance and initial velocity of a body, its final velocity is 100 m/s.

The final velocity of a body with uniform acceleration can be calculated using the formula:
Vf² = Vi² + 2aΔx

Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and Δx is the change in distance.

Plugging in the given values:
Vf² = (60m/s)² + 2(10m/s²)(320m)
Vf² = 3600m²/s² + 6400m²/s²
Vf² = 10000m²/s²
Vf = √(10000m²/s²)
Vf = 100m/s

Therefore, the final velocity of the body is 100m/s.

See more about  final velocity at https://brainly.com/question/25905661.

#SPJ11

The density of a typical laboratory plasma is 1018 m-3. this value leads to plasma oscillations at:________

Answers

The density of a typical laboratory plasma is 1018 m-3, this value leads to plasma oscillations at 9 x 10⁹ Hz.

What is density?

The density of an object is defined as the measurement of how tightly a material is packed together.

It is also defined as the mass per unit volume and its unit is kilogram per meter cube.

Density = mass / volume

Oscillation of the plasma at the given density

f = 9(n)^0.5

where;

n is density = 10¹⁸

f = 9(10¹⁸)^0.5

f = 9(10⁹) Hz

f = 9 x 10⁹ Hz

Thus, if the density of a typical laboratory plasma is 1018 m-3, this value leads to plasma oscillations at 9 x 10⁹ Hz.

Learn more about plasma oscillations here: https://brainly.com/question/14941730

#SPJ4

If an object moves 75 m/s in 15 seconds, how far did the object move?

Answers

The object moved a displacement of 1125 m.

What is meant by velocity ?

Velocity of an object is defined as the time rate of change of its displacement.

Here,

Velocity of the object, v = 75 m/s

Time taken for travelling, t = 15 s

We know that, the velocity is the displacement covered per unit time.

v = d/t

Therefore, the displacement covered by the object,

d = v x t

d = 75 x 15

d = 1125 m

Hence,

The object moved a displacement of 1125 m.

To learn more about displacement, click:

https://brainly.com/question/28609499

#SPJ2

Determine the time taken when, distance is 7150 km and speed is 780 km/hr

Answers

The required time taken to cover the given distance with specified speed is calculated to be 0.109 hr or 392.4 sec.

The distance travelled is given as 7150 km.

The speed is given as 780 km/hr.

The relationship between time, speed, and distance is known as,

Distance d = speed s/time t

d = s/t

Entering the values into the above equation, by making 't' as subject,

t = s/d = 780/7150 = 0.109 hr

Let us convert hours into seconds,

⇒ 0.109 hr = 0.109(60×60) = 392.4 sec

Thus, the time taken to cover the given distance with specified speed is calculated to be 0.109 hr or 392.4 sec.

To know more about time:

https://brainly.com/question/20759351

#SPJ4

explain how siphon works with atmospheric pressure?​

Answers

Answer:

A siphon is a tube that allows liquid to travel upward, above the surface of the origin reservoir, then downwards to a lower level without using a pump. When a certain amount of water moves over the bend in the siphon, gravity pulls it down on the longer leg lowers the atmospheric pressure in the bend of the siphon.

Mark me as brainlest, please?

Explanation:

The speed of a car is decreased uniformly from 30. meters per second to 10. meters per second in 4.0 seconds.

Answers

Answer: The car slows down by 10 meters per second every second.

Explanation:

AnswerThe speed of a car is decreased uniformly from 30. meters per second to 10. meters per second in 4.0 seconds. What was the car's acceleration ?

We have the following data:

V (final velocity) = 10 m/s

Vo (initial velocity) = 30 m/s

ΔV  (speed interval)  = V - Vo → ΔV  = 10 - 30 → ΔV  = - 20 m/s

ΔT (time interval) = 4.0 seconds

a (average acceleration) = ? (in m/s²)

Explanation:

Since the investigative question has two variables, you need to focus on each one separately. Thinking only about the first part of the question, mass, what might be a hypothesis that would illustrate the relationship between mass and kinetic energy? Use the format of "if…then…because…” when writing your hypothesis.

Answers

In order to form a hypothesis that would illustrate the relationship between mass and kinetic energy, we first need to understand what kinetic energy and mass are and how they are related. Kinetic energy is the energy that an object possesses due to its motion, and is given by the formula KE = 0.5mv², where m is the mass of the object and v is its velocity. Mass, on the other hand, is a measure of the amount of matter in an object.

The relationship between mass and kinetic energy is direct, meaning that as mass increases, so does kinetic energy, provided that velocity remains constant. Similarly, if velocity increases, then kinetic energy will increase as well, provided that mass remains constant.

The hypothesis that illustrates this relationship can be stated as follows:If the mass of an object is increased, then the kinetic energy of the object will also increase, because kinetic energy is directly proportional to mass, assuming velocity remains constant.In other words, if the mass of an object is doubled, then its kinetic energy will also double, assuming that its velocity remains constant. This hypothesis can be tested through experiments that involve measuring the kinetic energy of objects with different masses, but with the same velocity.

For more such questions on kinetic energy, click on:

https://brainly.com/question/8101588

#SPJ8

Sample Response:

If the mass of an object increases, then its kinetic energy will increase proportionally because mass and kinetic energy have a linear relationship when graphed.

Consider two stars that we’ll call A and B. Both are the same distance from Earth. Star A is much smaller than star B, but it also has a much higher temperature. Which one do you think would appear brighter? Why?

Answers

Both stars A and B will have the same brightness to the earth because luminosity is dependent on the temperature and size where A is hotter but smaller and B is bigger but colder.

What makes a star brighter?

There are several factors that determine the luminosity of a star namely, the size, temperature, distance and magnitude. The two main factors that determine luminosity of a star when the distance is the same are temperature and size.

When the temperature of a Star is higher than the other with equal distance from the earth the star is brighter than that with lower temperature. Also, when the size of a star is bigger, it possesses a higher surface area to absorb light and energy. This makes A and B as bright as the other.

Learn more on luminosity here: https://brainly.com/question/28332746

#SPJ1

An infant's pulse rate is measured to be 135 +/- 6 beats/min. What is the percent uncertainty in this measurement? O 4.44% O 4.4% O 4% 0.04%

Answers

The percent uncertainty in the measurement of an infant's pulse rate, which is recorded as 135 +/- 6 beats/min, is 4.4%.

The percent uncertainty is calculated by dividing the range of the measurement (in this case, 6 beats/min) by the average value of the measurement (in this case, 135 beats/min), and then multiplying by 100 to express it as a percentage. In this case, the range is 6 beats/min and the average value is 135 beats/min. Dividing 6 by 135 gives 0.0444, and multiplying by 100 gives 4.44%. Therefore, the percent uncertainty in this measurement is 4.4%.

This measurement indicates that the pulse rate of the infant can vary within a range of +/- 6 beats/min from the average value of 135 beats/min. The percent uncertainty provides a measure of the relative variability or precision of the measurement. A lower percent uncertainty would indicate a more precise measurement with less variability, while a higher percent uncertainty would indicate a less precise measurement with greater variability. In this case, a percent uncertainty of 4.4% suggests a reasonably precise measurement of the infant's pulse rate.

Learn more about percent uncertainty here:

https://brainly.com/question/30298257

#SPJ11

Why do telescopes have to have a good motorized drive system to move them quickly and smoothly?.

Answers

Telescopes have to have a good motorized drive system to move them quickly and smoothly so that they can continue to point at the object being observed.

Astronomers use a telescope to observe distant things. Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light from the night sky. The original telescopes employed lenses, which were curved pieces of clear glass, to focus light. The ability of an optical telescope to gather light is its most crucial ability. This capability is solely dependent on the telescope's aperture, or the diameter of the clear objective.

The telescope has a motorized drive mechanism that drives it smoothly from east to west at precisely the same rate that Earth is rotating from west to east in order to maintain the telescope's pointing at the object being seen because Earth is revolving.

To read more about telescopes, visit https://brainly.com/question/556195

#SPJ4

Air is expanded in a polytropic process with n = 1.2 from 1 MPa and 400°C to 110 kPa in a piston?cylinder device. Determine the final temperature of the air.
Select one:
a. 466 C
b. 123.6 C
c. 193 C
d. 290 C

Answers

The final temperature of the air is (c) 193°C.

Explanation:-

Given,

The initial pressure, P1 = 1 MPa

The initial temperature, T1 = 400 °C

The final pressure, P2 = 110 kPa

The polytropic exponent, n = 1.2

We need to determine the final temperature of the air.

Solution:

For the polytropic process with a given polytropic exponent n, the work done can be given as;

W = P1V1 (1 - n) / (n - 1) [1 - (P2 / P1) ((n - 1) / n)] -------------- [1]

Where,V1 = (mRT1) / P1 ------------- [2]

V2 = (mRT2) / P2 ------------- [3]

Combining equations [2] and [3], we get;

V2 / V1 = P1 / P2 * T2 / T1T2

= T1 (V2 / V1) * (P2 / P1) --------------- [4]

Now, substituting equation [2] into equation [1],

we get;

W = (mRT1) / P1 * (1 - n) / (n - 1) [1 - (P2 / P1) ((n - 1) / n)]

Also, substituting equation [4] into equation [1],

we get;

W = (mR T1) / P1 (1 - n) / (n - 1) [1 - (P2 / P1) ((n - 1) / n)]T2

= T1 (1 - n) / n [1 - (P2 / P1) (n - 1)] ------------ [5]

where m is the mass of the gas and R is the gas constant.

For air, the value of R is 0.287 kJ/kg.K.

Substituting the values in equation [5],

we get;T2 = 400 × (1 - 1.2) / 1.2 [1 - (110 / 1000) (1.2 - 1)]

= -220.34 K (-53.81°C)

However, the final temperature of the air cannot be negative.

Therefore, the process must be irreversible or isothermal.

Thus, the option (c) 193°C is the correct answer.

Know more about isothermal here,

https://brainly.com/question/12023162

#SPJ11

can anyone help me with differentiate between radio waves and x rays . Please Tomorrow is my exams This is A Imporrant question according to teacher..And all he taught was There definition​

Answers

search it or use answers, really helps!!

Answer:

The only difference between the two is that the frequency of X-rays is very much higher than radio waves. If, on the other hand, the radio waves or X-rays are propagating through a medium other than the vacuum, their speed will generally be less than c and will depend upon the specific properties of the medium.

Three 100 nC charged objects are equally spaced on a straight line. The separation of each object from its neighbor is 0.30 m.
A) Find the force exerted on the center object if all charges are positive. B) Find the force exerted on the center object if all charges are negative. C) Find the force exerted on the center object if the rightmost charge is negative and the other two are positive.

Answers

In the given scenario, three equally spaced charged objects are arranged in a straight line. By considering the charges as positive, negative, or a combination of positive and negative, we can determine the net force exerted on the center object. A) If all charges are positive, the force exerted on the center object is repulsive. B) If all charges are negative, the force exerted on the center object is attractive. C) If the rightmost charge is negative and the other two are positive, the force exerted on the center object is attractive.

A) When all charges are positive, the center object experiences a repulsive force from the charges on either side. According to Coulomb's law, the force between two charged objects is given by the equation F = k(\(q_{1}\)×\(q_{2}\)) / \(r^{2}\), where F is the force, \(q_{1}\) and \(q_{2}\) are the charges, r is the distance between the charges, and k is the electrostatic constant. By applying this equation to the given scenario, we can calculate the repulsive force on the center object.

B) When all charges are negative, the center object experiences an attractive force from the charges on either side. The magnitude of this force can be calculated using Coulomb's law as well, but since the charges are negative, the force will be attractive instead of repulsive.

C) If the rightmost charge is negative and the other two charges are positive, the center object will experience an attractive force from the rightmost charge and a repulsive force from the leftmost charge. By calculating the individual forces and considering their directions, we can determine the net force on the center object.

By applying Coulomb's law to the given charge configurations, we can evaluate the forces and determine whether they are attractive or repulsive based on the signs of the charges.

Learn more about force here: https://brainly.com/question/30507236

#SPJ11

10) Which would be the most appropriate description of how energy is distributed when a torch is turned on?
A 70% light energy, 30% thermal energy
B 70% thermal energy, 30% electrical energy
C 65% light energy, 30% thermal energy
D 40% thermal energy, 55% light energy


Answers

I believe it’s A as in apple

Fighter jets on aircraft carriers are accelerated down a 270 foot "runway" in two seconds when they are taking off. A fully loaded, combat ready F-15 has a maximum take-off weight of 62,000 pounds. To ensure the pilot can reach sufficient velocity within 2 seconds a pneumatic cannon propels the plane down the runway. If this same cannon was used to launch your Toyota Corolla (mass is 2646lbs), how fast in miles per hour would you be going after reaching the end of the runway?

Answers

The speed of the  Toyota Corolla would have  been 143.9 mph.

What is the acceleration of the F-15?

The acceleration of the F-15 can be calculated as follows:

Acceleration = Velocity Change / Time = (Take-off Speed) / Time

where;

Take-off Speed = √(2dg /t²)

Take-off Speed = √(2 x  (270 ft)  x 32.2 ft/s² / (2 s)²)

T  = √(17496) = 131.6 ft/s

Acceleration = Velocity Change / Time

= (131.6 ft/s) / (2 s) = 65.8 ft/s²

We can use the same acceleration to launch the Toyota Corolla, and calculate its final velocity:

Final Velocity = Initial Velocity + Acceleration x Time

where;

Initial Velocity = 0 (because the car is not moving initially), Time = 2 s

Final Velocity = 0 + (65.8 ft/s²) * (2 s) = 131.6 ft/s

Finally, we can convert the velocity from feet per second to miles per hour:

Velocity (mph) = Velocity (ft/s) x (1 hour/3600 s) x (5280 ft/mile)

= 131.6 ft/s x  (1 hour/3600 s)  x (5280 ft/mile)

= 143.9 mph

Learn more about average acceleration here: https://brainly.com/question/26246639

#SPJ1

A cannonball is launched at ground level at an angle of 30° above the horizontal with
an initial velocity of 26 m/s. How far does the cannonball travel horizontally before it
reaches the ground?
Vi =26m/s g = 9.8m/s^2 vf=0
30°

Answers

Use the kemetic equation

The cannonball travels horizontally before it reaches the ground at an angle of 30° above the horizontal with an initial velocity of 26 m/s is 59.73 meters.

What is velocity?

When anything is moving, its velocity tells us how quickly that something's location is changing from a certain vantage point and as measured by a particular unit of time.

If a point travels a specific distance along its path in a predetermined amount of time, its average speed throughout that time is equal to the traveled distance divided by the travel time. For instance, a train traveling 100 km in two hours is moving at an average speed of 50 km/h.

Given:

The initial velocity of a cannonball, u = 26 m/s,

Calculate the range of the cannonball by following the formula,

R = \(u^2\)sin2θ / g

Here R is the range, and θ is the angle of projection.

Substitute the values,

R = \(26^2\) sin2*30 / 9.8

R  = 59.73 meters

Therefore, the cannonball travels horizontally before it reaches the ground at an angle of 30° above the horizontal with an initial velocity of 26 m/s is 59.73 meters.

To know more about velocity:

https://brainly.com/question/19979064

#SPJ2

Consider a 8.96 gram copper block of 24.44JK−1 mol−1 constant molar heat capacity at 85∘C placed in 125 g water constant molar heat capacity 75.29JK−1 mol−1at 25∘C. Consider the heat capacities as constant within the temperature range and calculate for each the change in entropy

Answers

Mass of copper block, m = 8.96 g

Constant molar heat capacity of copper, c1 = 24.44 J K⁻¹ mol⁻¹

Initial temperature of copper block, T1 = 85°C

Mass of water, M = 125 g

Constant molar heat capacity of water, c2 = 75.29 J K⁻¹ mol⁻¹

Initial temperature of water, T2 = 25°C

Heat is transferred from the copper block to the water until both reach a common temperature, T. We are to find the change in entropy for each process using the following formula:

Change in entropy, ΔS = Q / T

where Q is the amount of heat transferred and T is the common temperature of the system. Since the process is reversible, we can also write this as:

ΔS = ∫ dQ / T

Change in entropy of copper block:

The amount of heat transferred from the copper block to the water, Q1 = mc1ΔT = (8.96/63.546) × 24.44 × (T - 85) J/K

where ΔT = T - T1 is the change in temperature.

Using the formula for change in entropy:

ΔS1 = Q1 / T = (8.96/63.546) × 24.44 × (T - 85) / T J/K

Change in entropy of water:

The amount of heat transferred from the copper block to the water is the same as the amount of heat gained by the water, Q2. So,

Q2 = -Q1 = -(8.96/63.546) × 24.44 × (T - 85) J

Using the formula for change in entropy:

ΔS2 = Q2 / T = -(8.96/63.546) × 24.44 × (T - 85) / T J/K

Therefore, the change in entropy for the copper block is given by:

ΔS1 = (8.96/63.546) × 24.44 × (T - 85) / T J/K

And the change in entropy for water is given by:

ΔS2 = -(8.96/63.546) × 24.44 × (T - 85) / T J/K

To learn more about mass, refer below:

https://brainly.com/question/11954533

#SPJ11

Other Questions
A bicycle costs $175. salvadore has $55 and plans to save $18 each month. describe the number of months he needs to save to buy the bicycle. 1. choose the correct inequality to represent this situation. 2. choose the correct solution set. Q-8. A solid is generated by revolving the region bounded by y = 1/64 - x?and y=0 about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of th What is the value of x in this proportion? Help a kid out :[tex] \quad \sf \: 4x + 3 = 7[/tex]solve for x Based on your knowledge of the suffix -tic, which is a synonym of "enthusiastic"? Responses A passionatepassionate B passionpassion C passionatelypassionately D to passion Which of the following statements are correct in regard to predatory pricing to induce exit of existing rival firms? Choose any and all correct statements.a. Some economists, particularly of the Chicago-UCLA school of thought argue that merging with rivals is a better way to eliminate the competition as compared to predatory pricing.b. With this pricing strategy, the predator firm lowers price below cost until the rival exits the market, at which point the predator will raise price to the monopoly level.c. With this pricing strategy, the predator firm sets a low price even before entry that discourages any potential rivals from entering the market.d. If there is free entry back into the market, this type of predatory pricing may not be feasible. A cellular network transmits its signals in a circular pattern. The tower is considered the origin, (0,0), of the signal and there is a house located on the edge of the circle at (2, 4). Which of the following coordinates could represent the location of another house that is also on the edge of the circle? A.(1.3) B.(-2,-4) C.(3,3) D.(4,4) Select the correct text in the passage.Which words and phrases show that the passage is a reliable source?Ancient SpartaSparta was one of the most influential city-states of ancient Greece. It had the most powerful army in all of Greece. Warfare was the cornerstone ofthe Spartan economy. Young boys from the age of 7 were sent off to military schools to train. According to a website maintained by the HistoryDepartment at Oxford University, Sparta's government was a monarchy ruled by two kings. Leonidas was one of the most influential rulers of Sparta.The British Museum states that Leonidas defeated the Persians with only a small army. A blog maintained by a history student says Leonidas foughtthe massive Persian armies with merely 300 soldiers. can 8/15 be simplified? If so by what?You don't need to do the math just yes or no and by what after a grueling flight, your plane lands in tokyo. starving, you stop at the first sushi bar you see and spend 5,800 japanese yen. your currency from an earlier stop in germany is still in euros. how many euros did you spend? assume the dollar per yen exchange rate is .00806 and the dollar per euro exchange rate is .9203. For People who live in Norway what is the best thing about Norway and would you recommend someone to move there? which method of testing for battery state of charge (soc) can be used on maintenance-free batteries? A construction crew built miles of road in days. What is the unit rate in miles per day? Write your answer as a fraction or a mixed number in simplest form. 2.Common nouns are capitalizedo when they refer to feelings.o when they refer to groups of things.O at all times.o at the beginning of a sentence. The Continental army was made up of.1.privateers.2.mercenaries.3.volunteers.4.officers. A member of one of the christian churches that separated from the catholic church during the reformation. The __________ with over 100 member nations is the largest institution of its kind and has the most successful record of promoting freer trade. The __________ with over 100 member nations is the largest institution of its kind and has the most successful record of promoting freer trade. What are the four elements of consumer model? According to Newton's 1st law of motion, . . . . .A . for every action, there is an equal and opposite reaction.B . force = mass * accelerationC . an object will remain at rest unless an external force acts upon it. I NEED HELP ASAP!! Fill in the blank using the correct form of the irregular verb : Ir - Don't forget to use the preposition "a" 1. Ellos ___________ la escuela todos los das.2. Mis padres y yo _____________ la playa el domingo.3. Mi hermano ________ la Universidad de Miami.4. Mis amigos y yo __________________Starbucks el sbado.5. Las chicas ______________ la tienda de zapatos ( shoe store) juntas (together)