A cheetah running at 70 mph has approximately 2.2 million joules of kinetic energy.
To calculate the kinetic energy of the cheetah, we need to use the formula KE = (1/2)mv², where KE is kinetic energy, m is the mass of the cheetah, and v is the velocity of the cheetah in meters per second. First, we need to convert the speed of the cheetah from miles per hour to meters per second.
70 mph is approximately 31.2928 meters per second. Using the given mass of the cheetah, 68 kg, and the velocity in meters per second, we can calculate the kinetic energy:
\(K.E= \frac{1}{2} mv^2 = \frac{1}{2} (68kg) (31.2928m/s)^2\)
= 2,190,152.9 joules
Therefore, a cheetah running at 70 mph has approximately 2.2 million joules of kinetic energy. It is important to note that this calculation assumes ideal conditions and does not take into account factors such as air resistance or the terrain on which the cheetah is running.
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Which of the following is NOT an argument for Cygnus X-1's being a true black hole?
a. Cygnus X-1's mass is estimated to be about 10 solar masses. ob
b. Spectroscopic data suggests hot gas is flowing from the companion B star onto Cygnus X.1.
c. X-ray observations around the object support a temperature of several million
d. X-rays from Cygnus X-1 vary on time scales as short as a millisecond
e. The mass of the visible B star is even greater than Cygnus X-1, at around 25 solar masses
The statement that is NOT an argument for Cygnus X-1's being a true black hole is d. X-rays from Cygnus X-1 vary on time scales as short as a millisecond.
What is a black hole?
A black hole is a celestial body that results from the death of a massive star. The black hole's gravitational pull is so strong that it prevents anything from escaping it, including light. As a result, black holes are invisible and can only be detected by the effects of their gravitational pull on other objects.
What is Cygnus X-1?
Cygnus X-1 is a binary star system located approximately 6,000 light-years away in the constellation Cygnus. The system contains a massive blue super giant star and a compact object that is believed to be a black hole, which orbits each other.
Cygnus X-1 was the first black hole discovered.The following are some arguments for Cygnus X-1's being a true black hole:
a. Cygnus X-1's mass is estimated to be about 10 solar masses
.b. Spectroscopic data suggests hot gas is flowing from the companion B star onto Cygnus X.1.
c. X-ray observations around the object support a temperature of several million . Among the options given in the question, d. X-rays from Cygnus X-1 vary on time scales as short as a millisecond is NOT an argument for Cygnus X-1's being a true black hole.
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A student places three spoons in a bowl of hot water. One spoon is made of steel, one is made of plastic, and one is made of wood. After fifteen minutes, he takes each spoon out of the water and touches it. He finds that the steel spoon feels the hottest, followed by the wooden spoon, and then the plastic spoon, which feels the coolest. Which spoon contains molecules that are moving the fastest? Explain.
The steel spoon contains molecules that are moving the fastest among the three spoons.
The spoon that feels the hottest to the touch indicates that its molecules have absorbed more heat energy from the hot water. The temperature of an object is related to the average kinetic energy of its molecules.
The kinetic energy of molecules is directly related to their speed of motion. Faster-moving molecules have higher kinetic energy compared to slower-moving molecules at the same temperature.
The steel spoon feels the hottest, suggesting that its molecules have gained the most kinetic energy from the hot water. Steel is a good conductor of heat, allowing it to absorb heat energy efficiently from the water. Its molecules gain kinetic energy, resulting in faster molecular motion.
The wooden spoon feels less hot than the steel spoon but hotter than the plastic spoon. Wood is a poorer conductor of heat compared to steel but still conducts heat better than plastic. Therefore, its molecules absorb some heat energy from the water, resulting in increased molecular motion and a hotter sensation when touched compared to the plastic spoon.
The plastic spoon feels the coolest because plastic is a relatively poor conductor of heat. Its molecules absorb less heat energy from the water, leading to slower molecular motion and a cooler sensation when touched.
In summary, the spoon that contains molecules moving the fastest is the steel spoon, as it absorbs the most heat energy from the hot water and has the highest temperature among the three spoons.
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a man is using a wedge to split a block of wood by hitting the wedge with a hammer. this drives the wedge into the wood creating a crack in the wood. when he hits the wedge with a force of 400 n it travels 4 cm into the wood. this caused the wedge to exert a force of 1,400 n sideways increasing the width of the crack by 1 cm . what is the efficiency of the wedge?
Answer:
if I am not wrong I think it is 87.5%
Explanation:
i hope it helped
A bullet is shot at some angle above the horizontal at an initial velocity of 87m/s on a level surface. It travels in the air for 13.6 seconds before it strikes the ground 760 m from the shooter. At what angle above the horizontal was the bullet fired? Round to the nearest whole number and include units in your answer Use g= -9.8 m/s2 for the acceleration of gravity.
Answer: 50°
Explanation:
Given the following :
Initial Velocity of bullet (U) = 87m/s
Time of travel (t) = 13.6s
Horizontal Distance traveled (S) = 760m
Therefore, the horizontal angle of projection of the bullet :
Using the second equation of motion:
S = ut + 0.5at^2
Where a = g = acceleration due to gravity, S = distance traveled, t= time taken and U = Initial Velocity.
The Angle of projection along the horizontal is represented as cosΘ
Acceleration due to gravity after the bullet has hit the ground = 0
Therefore, rewritten the equation :
S = ucosΘ * t + 0.5at^2
760 = 87 * Cosθ * 13.6 + 0.5(0)(13.6)^2
760 = 1183.2 * Cosθ + 0
Cosθ = 760 / 1183.2
Cosθ = 0.6423
Θ = cos^-1(0.6423)
Θ = 50.036460
Θ = 50°
How are objects identified and categorized in space;
list Three(3)
Explanation:
There are several methods to identify and categorize objects in space but the 3 important are:
•Mass/Size
•Revolution
•Gravity
Example:
If you look at the planet Mars you will identify it by many methods but the basic way to indentify it is by looking at it's gravitational pull, Mass and size of the planet and the revolution of the planet around the star.
You can also identify them by looking at their elements present in it (like mars is red due to presence of high amount of iron/red soil in it), and Like Saturn is mostly identified by it's rings. It's not always about planets but it's also about the asteroids, stars, Natural satterlites of planets (like moon) and more.
Hope this helps you
Have a nice day :)
A ray of sunlight forms a 24°-angle with the ground. what is the length of the shadow cast by a person 1.82 m tall?
The length of the shadow cast by a person who is 1.82 m tall when a ray of sunlight forms a 24° angle with the ground is approximately 4.09 meters.
To solve this problem, we'll use trigonometry with the given angle and the height of the person to find the length of the shadow. We know that the angle between the sunlight and the ground is 24°, and the person is 1.82 m tall.
We can model this situation using a right triangle, where the person's height represents the opposite side, the length of the shadow represents the adjacent side, and the angle of elevation is 24°. To find the length of the shadow, we can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side in a right triangle.
So, we have:
tan(24°) = opposite side (height of the person) / adjacent side (length of the shadow)
Now, we can plug in the height of the person:
tan(24°) = 1.82 m / length of the shadow
To find the length of the shadow, we can rearrange the equation and solve for it:
Length of the shadow = 1.82 m / tan(24°)
Using a calculator, we find that:
Length of the shadow ≈ 1.82 m / 0.4452 ≈ 4.09 m
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major league baseball games last an average of 190.885 minutes (standard devaition =
Major League Baseball games last an average of 190.885 minutes with a standard deviation that was not specified in the question. The standard deviation is a measure of how much the data deviates from the mean or average.
It can be used to determine the spread of the data and how closely the individual values cluster around the mean. Without the standard deviation, it is difficult to make any further conclusions about the duration of MLB games.
It seems that your question is incomplete, and I cannot provide a proper answer without the necessary information.
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imagine you live in a town near the foot of a volcano. what indicators might you look for to predict when the volcano might erupt?
Answer:
i don't really know the exact answer but i would say something like earthquakes or steam/excessive heat
Explanation:
When comparing mass and size data for the planets Earth and Jupiter, it is observed that Jupiter is about 300 times more massive than Earth. One might quickly conclude that an object on the surface of Jupiter would weigh 300 times more than on the surface of the Earth. For instance, one might expect a person who weighs 500 N on Earth would weigh 150,000 N on the surface of Jupiter. Yet this is not the case. In fact, a 500 N person on Earth weighs about 1500 N on the surface of Jupiter. Explain how this can be.
This situation happens because radius of Jupiter is 10 times greater than radius of the Earth is why a 500 N person on Earth weighs about 1500 N on the surface of Jupiter.
What is Weight?This is referred to as the body's relative mass or the quantity of matter contained by it and is also known as the force acting on a body due to gravity.
According to Newton's Law of Gravitation, weight is directly proportional to the mass of the planet and inversely proportional to the square of the radius of the planet which is why the difference in weight is as a result of the radius of Jupiter is 10 times being greater than radius of the Earth.
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A football is kicked from ground level with an initial velocity of 23.6 m/s at angle of 57.5° above the horizontal. How long, in seconds, is the football in the air before it hits the ground? Ignore air resistance.
Answer:
6 seconds is the best answer
It will take 6 seconds to the football in the air.
What is Initial velocity?Velocity is the rate that the position of an item changes relative to time. When forces are applied to an item, it accelerates. This acceleration affects the velocity.
The object's initial velocity, vi, is its speed before acceleration changes it. The new velocity, which has increased for a while, is the final velocity, or vf.
Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. There are four equations for starting velocity: The starting velocity is expressed as u = v - at if time, acceleration, and final velocity are given.
Therefore, It will take 6 seconds to the football in the air.
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The average distance between a planet and the sun is given by the ________ of its elliptical orbit.
The average distance between a planet and the sun is given by the Semimajor axis of its elliptical orbit.
All the planets present in our Solar System travel around the Sun in an elliptical orbits. Semimajor axis of its elliptical orbit is the longest semidiameter or one half of the major axis of the elliptical orbit.
The distance between the Sun and the planets can be easily calculated using the Equation of Motion. The average distance between Earth and the Sun, which is about 150 million kilometers. The average distance between a planet and the sun is given by the Semimajor axis of its elliptical orbit.
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What are the 3 formulas in Ohm's law?
Ohm's law has three formulas, which are V = IR, I = V/R, and R = V/I.
Ohm's law describes the relationship between voltage, current, and resistance in an electrical circuit. The first formula, V = IR, states that the voltage across a resistor is directly proportional to the current flowing through it, with the constant of proportionality being the resistance of the resistor.
The second formula, I = V/R, expresses the current flowing through a resistor in terms of the voltage across it and the resistance of the resistor. Finally, the third formula, R = V/I, gives the resistance of a resistor in terms of the voltage across it and the current flowing through it. These formulas are commonly used in analyzing and designing electrical circuits.
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can you please help me?
Answer:
Iron, You're Welcome :)
Answer:
iron
Explanation:
Will mark as BRAINLIEST....... The Displacement x of particle moving in one dimension under the action of constant force is related to the time by equation 4x³+3x²-5x+2 , where x is in meters and t is in sec. a)Find velocity of particle at i) t=2 sec ii) t=4 sec. b) Find the acceleration of the particle at t=3 sec.
Explanation:
It is given that,
The Displacement x of particle moving in one dimension under the action of constant force is related to the time by equation as:
\(x=4t^3+3t^2-5t+2\)
Where,
x is in meters and t is in sec
We know that,
Velocity,
\(v=\dfrac{dx}{dt}\\\\v=\dfrac{d(4t^3+3t^2-5t+2)}{dt}\\\\v=12t^2+6t-5\)
(a) i. t = 2 s
\(v=12(2)^2+6(2)-5=55\ m/s\)
At t = 4 s
\(v=12(4)^2+6(4)-5=211\ m/s\)
(b) Acceleration,
\(a=\dfrac{dv}{dt}\\\\a=\dfrac{d(12t^2+6t-5)}{dt}\\\\a=24t+6\)
Pu t = 3 s in the above equation
So,
\(a=24(3)+6\\\\a=78\ m/s^2\)
Hence, this is the required solution.
On a curved roadway of radius 95m, the speed limit is 12 m/s. What should the coefficient of static friction be between the tires and the road for the car to safely navigate the curve at the posted speed?
Please please help.
The coefficient of static friction between the tires and the road is 0.16.
What is the coefficient of kinetic friction?The coefficient of static friction between the tires and the road for the car to safely navigate the curve at the posted speed is calculated as follows;
Static friction = centripetal force
μmg = mv²/r
μ = ( v² ) / ( rg)
where;
μ is the coefficient of static frictiong is acceleration due to gravityr is the radius of the curved pathv is the maximum speed of car on the pathThe coefficient of static friction between the tires and the road is calculated as follows;
μ = ( 12² ) / ( 95 x 9.8)
μ = 0.16
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Flexibility is earned through regular _____ and ______
A. Effort and practice
B.Effort and determination
C. Hard work and new gym clothes
D. Stretching and jumping
ANSWER ASAP!!!!
Answer:
D.
Explanation:
a 415-kg container of food and water is dropped from a airplane
Since the object is experiencing free fall, if you ignore air resistance, the time it will take the container to fall 300m to the ground is 7.82 seconds.
What is free fall?Any motion of a body in which gravity is the only force acting on it is referred to as free fall.
The object dropped from the airplane is experiencing free fall.
Ignoring air resistance, the only force acting on the container is the force of gravity which accelerate the container by a constant value.
The time taken for the object to reach the ground is determined using the formula of an object experiencing free fall as given below:
s = ut + ¹/₂gt²
where
h is the height above the ground = 300 m
u is the initial vertical velocity of the container and is equal to zero since the object starts from rest.
g is the acceleration of gravity = 9.8 m/s²
t is the time = ?
The equation above becomes;
h = ¹/₂gt² since u is zero
Solving the equation for t:
t = √2h/g
t = √2 * 300 / 9.8
t = 7.82 seconds.
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Complete question:
A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.
1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?
A very long straight wire carries a current I. At the instant when a charge
+
Q
at point
P
has velocity
→
V
, as shown, the force on the charge is
the force on the charge is μ₀I[QV×r]/[4πr³].
The force on a charge of +Q at point P with velocity →V is given by:
B = μ₀I[QV×r]/[4πr³]
Where,μ₀ is the permeability of free space, μ₀ = 4π×10⁻⁷ Tm/ICurrent carried by the very long straight wire, ICharge, QVelocity vector, →VForce, B
Therefore, the force on the charge is given by:
B = μ₀I[QV×r]/[4πr³]
where r is the distance between the wire and the point P.
Hence, the answer is μ₀I[QV×r]/[4πr³].
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Sushant went on an educational trip to a village. There he found a potter making pots. He found that the soil used for making pots was different from normal soil. Name the soil and also tell its characteristics.
The soil used for making pots by potters is commonly known as "Potter's Clay" or "Potter's Soil."
Characteristics of Potter's Clay:
1. Plasticity: Potter's clay has high plasticity, which means it can be easily molded and shaped into different forms without cracking or breaking.
2. Cohesiveness: It exhibits good cohesion, allowing the clay particles to stick together when moistened, forming a workable material.
3. Fine Particle Size: Potter's clay consists of fine particles that contribute to its plasticity and workability.
4. High Water Retention: It has the ability to retain water, which helps maintain the moisture content necessary for the clay to be shaped and formed.
5. Low Shrinkage: Potter's clay exhibits low shrinkage when it dries or undergoes firing, ensuring minimal distortion or cracking during the drying and firing processes.
6. Good Bonding Properties: The clay particles have the ability to bond together, creating a strong and durable structure once fired.
7. Good Porosity: After firing, the clay retains some porosity, allowing the pot to breathe and allowing for the exchange of air and moisture.
PLEASE HELP AND HURRY
Suppose that an object is moving horizontally with a constant velocity. The horizontal acceleration must be __________.
A. constantly decreasing
B. constantly increasing
C. positive
D. equal to zero
Answer:
C. POSITIVE
(Sorry if wrong)
Answer:
C positive
Explanation:
It keeps moving in a positive way over and over
WILL GIVE BRAINLIEST HELP FASTWhat is the mass of Planet X? Note: The constant of universal gravity (G) equals 6.674 X 10-11 N·m²/kg?.
What is the centripetal acceleration of moon II? Note: The constant of universal gravity (G) equals 6.674 X 10-11 N·m²/kg?
0.069 m/s2
m
0.024 m/s2
0.081 m/s2
0.040 m/s2
0 0.19 m/s2
Answer:
Explanation:
Centripetal acceleration's equation is:
\(a_c=\frac{v^2}{r}\) where v is the velocity of the object (moon II) and r is the radius. We have the radius, but we don't have the velocity, and we can't solve for acceleration until we do have it. Assuming moon II is a circle, or close enough to be called a circle, it has a circumference.
C = 2πr. If we can find the circumference of the circle, we can plug in the orbital period for the time, the circumference for the distance, and solve for velocity in d = rt. So let's do that and see what happens.
C = 2(3.14)(9.0 × 10⁷) and
C = d = 5.7 × 10⁸. Plugging in and solving for v:
\(5.7*10^8=v(3.0*10^5)\) and
v = 1.9 × 10³. That is the velocity we can use in the centripetal acceleration equation.
\(a_c=\frac{(1.9*10^3)^2}{9.0*10^7}\) and
\(a_c=.040\frac{m}{s^2}\)
These are fun!
True or False: Litmus paper turns blue in bases and red in acids.
True
False
resistance stage of the general adaptation syndrome
The resistance stage of the general adaptation syndrome is after stress shocks your body.
After the initial impact of the stress, your body will enter the resistance stage of the general adaption syndrome. This is the period in which it will attempt to restore itself. During this stage, your heart rate and blood pressure will begin to recover to their pre-stress levels if you have successfully dealt with the stressful circumstance and the unpleasant event has been eliminated from your life.
Irritability, frustration, and a lack of attention are all indicators that the individual has entered the stage of resistance.
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canadas largest trading partner is
Answer:
united states
Explanation:
give brainiest please
ehicle collisions involve huge amounts of energy. How does the crashworthiness of a car affect the transfer and transformations of the energy and, ultimately, protect the occupants with consideration of the Law of Conservation of Energy.
When the two-vehicle collides transformation of the energy is done in terms of kinetic energy.
What is the law of conservation of energy?According to the Law of Conservation of Energy, energy can neither be created nor destroyed, but it can be transferred from one form to another.
The total energy is the sum of all the energies present in the system. The potential energy in a system is due to its position in the system.
In the above problem, the Vehicle get collides so that the kinetic energy of the vehicle is converted into the kinetic energy of another vehicle the speed of the vehicle will reduce when they collide.
Momentum also gets conserved when the two vehicles collide.
Hence, the transformation of the energy is done in terms of kinetic energy.
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suppose karl drives for 50 minutes. use the line of fit to determine the anticipated number of miles he drives.
The anticipated number of miles Karl drives can be determined by using the line of fit equation and plugging in the value of 50 minutes for the independent variable. The resulting value will be the predicted number of miles driven by Karl in 50 minutes.
To explain further, a line of fit is a line that represents the trend of a set of data points in a scatter plot. In this case, the line of fit equation was likely derived from a set of data points that show the relationship between the amount of time Karl drives and the corresponding distance he covers. By using this equation, we can estimate the number of miles he drives for a given amount of time.
For example, if the line of fit equation is y = 0.8x + 5, where y represents the number of miles driven and x represents the time in minutes, we can plug in x = 50 and solve for y to get:
y = 0.8(50) + 5 = 45
Therefore, the anticipated number of miles Karl drives in 50 minutes is 45.
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Steve sees two bright stars in the sky one night. A few nights later Steve sees these two stars again, but they are closer together. What could explain this
Steve sees two bright stars in the sky one night. A few nights later Steve sees these two stars again, but they are closer together. This could be explained by the parallax effect.
The parallax effect could explain why Steve saw the two stars again but they were closer together. The parallax effect is the apparent shift in the position of an object when viewed from different angles. As the Earth moves in its orbit around the sun, the positions of stars in the sky appear to shift slightly due to the change in viewing angle.Parallax can be used to measure the distance to nearby stars.
Astronomers observe the position of a star against the background of more distant stars at two different times, when the Earth is on opposite sides of the Sun. By measuring the angle between the star's position and the background stars at each time, the velocity to the star can be calculated.
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PLEASE HELP ON EDGE I WILL GIVE U A BRAINLIST IF U GET IT RIGHT
You make yourself and your friend a cup of hot chocolate and add vanilla ice cream. You quickly enjoy yours, but your friend takes a long time to come, so you get to observe theirs as a science experiment.
In what direction does the heat flow? (2 points)
Describe how the kinetic energy of the hot chocolate changes once you add the ice cream. (2 points)
How does the kinetic energy of the ice cream change once you put it in the hot chocolate? (2 points)
What happens to the temperature of each substance? Be specific. (2 points)
When will the temperature of the ice cream and the hot chocolate stop changing? (2 points)
1) The heat would flow from the hot chocolate to the ice cream.
2) The chocolate is going to decrease in its kinetic energy.
3) The ice cream would increase in its kinetic energy
4) The temperature of the hot chocolate would decrease while the temperature of the ice cream would increase
5) The temperature of the ice cream and the hot chocolate would stop changing when thermal equilibrium is attained.
What is the kinetic energy?Let us take our minds back to the kinetic theory of matter. We know that according to the kinetic theory matter, matter is composed of small particles that are in constant motion. We also define the temperature of the body as a measure of the average kinetic energy of the molecules of the body.
In this case, we can see that the chocolate is at a higher temperature thus its particles have a higher kinetic energy and the kinetic energy would flow from the hot chocolate to the cold ice cream. The kinetic energy of the ice cream would increase once it comes into contact with the hot chocolate.
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Remember that different colors have different wavelengths. Given this fact, why would coherent light need to be all one color?
Different wavelengths of light result in various color perceptions. Whereas violet is perceived by the shortest wavelengths, red is perceived by the longest ones.
How are wavelength and frequency defined?Frequency and wavelength are two important characteristics of a wave cycle. A further definition of "wavelength" is the distance between any two matching positions on adjacent waves. Frequency is another word for the number of waves that pass through a specific location in a specific amount of time.
Is the wavelength of light the same?The wavelength is the space between successive crests, whereas the frequency is the quantity of crests that impact the beach per second. The only distinction is that we do so when discussing light rather than water.
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