when 0.107 g of zn(s) is combined with enough hcl to make 53.2 ml of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 22.2 ∘c to 24.5 ∘c.

Answers

Answer 1

The heat released by the reaction of zinc with hydrochloric acid is  -502.9 J. The negative sign indicates that heat was released by the reaction and absorbed by the calorimeter.

To calculate the heat released by the reaction of zinc with hydrochloric acid, we need to use the formula:

q = m × C × ΔT

where:

q = heat released or absorbed (in joules, J)

m = mass of the solution (in grams, g)

C = specific heat capacity of the solution (in J/g⋅°C)

ΔT = change in temperature (in °C)

First, let's calculate the mass of the solution:

mass of solution = volume of solution × density of solution

The density of the solution can be assumed to be equal to that of water, which is 1 g/mL.

mass of solution = 53.2 mL × 1 g/mL

mass of solution = 53.2 g

Next, we need to calculate the heat capacity of the solution. Since we do not know the exact composition of the solution, we can assume that it is mostly water and use the heat capacity of water, which is 4.184 J/g⋅°C.

C = 4.184 J/g⋅°C

Now we can calculate the change in temperature of the solution:

ΔT = final temperature - initial temperature

ΔT = 24.5 °C - 22.2 °C

ΔT = 2.3 °C

Finally, we can calculate the heat released by the reaction:

q = m × C × ΔT

q = 53.2 g × 4.184 J/g⋅°C × 2.3 °C

q = 502.9 J

Since the reaction of zinc with hydrochloric acid is an exothermic reaction, the heat released by the reaction is equal to the heat absorbed by the calorimeter:

qreaction = -qcalorimeter

Therefore:

qreaction = -502.9 J

The complete question is:

When 0.107 g of zn(s) is combined with enough hcl to make 53.2 ml of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 22.2 ∘c to 24.5 ∘c. What is the heat released by the reaction of zinc with hydrochloric acid?

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Related Questions

What makes up all type of matter in living and nonliving things in an ecosystem?

Answers

Producers are responsible for making all types of matter in living and non-living things in an ecosystem.

What do you mean by Ecosystem?

An ecosystem may be defined as a place or area where members of different species live together and interact with one another for the purpose of food, shelter, and space.

Producers are organisms which always found at the bottom of each trophic level of an ecosystem. These organisms synthesize their own food and energy from carbon dioxide in presence of sunlight.

After synthesizing energy, they transform their energy to higher trophic levels. Apart from this, several biotic and abiotic factors are also responsible for making up the type of matter in living and nonliving things in an ecosystem.

Therefore, producers are responsible for making all types of matter in living and non-living things in an ecosystem.

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A motorcycle travels 300 miles south in 3 hours. What is the speed?

Answers

Answer:

100 mph

Explanation:

speed=distance/time

Molly is investigating the change in the motion of an object. She kicks a soccer ball that Is sitting on a soccer field three times. Molly uses a device to measure the force of her kick, and changes the force of her kick each time. The data that she collected are shown in the table below.
Force of Kick
(N)
Distance Traveled (m)
150
31
200
39
270
47
In 6-10 sentences explain how Molly altering the force of her kicks altered the movement of the ball. You may discuss the experiment in terms of Newton's three laws of motion, acceleration and momentum, energy transfer, and /or conservation of energy. Be sure to use appropriate vocabulary in your explanation.
B
i
U
§
×.
x2
=
=
E
=트 트 41 x
Special Characters

Answers

Molly's experiment involved kicking a soccer ball with varying amounts of force and observing the resulting change in the ball's motion.

How does altering the force alter the movement of the ball?

Newton's three laws of motion can help explain how the force of Molly's kicks affected the ball's movement.

Newton's first law of motion states that an object at rest will stay at rest and an object in motion will stay in motion with a constant velocity unless acted upon by an unbalanced force. In this experiment, the soccer ball was at rest before each kick, so the force of Molly's kicks acted as an unbalanced force, causing the ball to accelerate and move. The greater the force of her kick, the greater the acceleration and resulting distance the ball traveled.

Newton's second law of motion states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In this case, the mass of the soccer ball remained constant, but the force of Molly's kicks varied. As a result, the acceleration of the ball was directly proportional to the force of her kick.

Finally, Newton's third law of motion states that for every action, there is an equal and opposite reaction. When Molly kicked the soccer ball, the ball exerted an equal and opposite force back on her foot, which is why she felt the impact of the kick.

Energy transfer also played a role in this experiment. When Molly kicked the ball, she transferred energy from her foot to the ball. The greater the force of her kick, the more energy was transferred to the ball, resulting in a greater distance traveled.

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An object has a force of 29.43 N acting on it. Its acceleration is 3.5 m/s2. What is the mass of this object?

Answers

Answer:

The mass of the object is 8.41 Kg.

Explanation:

Mechanical Force

The second Newton's law states that the net force exerted by an external agent on an object of mass m is:

F = m.a

Where a is the acceleration of the object. The SI unit for the force is the Newton: \(1\ Nw = 1~Kg.m/s^2\)

We are given the net force of F=29.43 N acting on an object and producing an acceleration of a=3.5~m/s^2.

To calculate the mass of the object, we solve the above equation for m:

\(\displaystyle m=\frac{F}{a}\)

\(\displaystyle m=\frac{29.43}{3.5}\)

Calculating:

m = 8.41 Kg

The mass of the object is 8.41 Kg.

Two students noted that the acceleration of a car was - 40 km/s^2. The first student said, “That can’t be right. You can’t have a negative acceleration.” The second student said, “That can’t be right. You can’t have s^2.” What would you say to each student to help them better understand how acceleration is described? pls answer

Answers

The 40 cause ion the air is not gone be in madden

a 3.53 kω resistor is connected to a generator with a maximum voltage of 251 v

Answers

When a 3.53 kΩ resistor is connected to a generator with a maximum voltage of 251 V, the resistor will limit the flow of current through the circuit. This is because the resistor provides resistance to the flow of electric current. The maximum voltage of the generator is important because it determines the maximum potential difference across the resistor.

Ohm's law states that the current through the resistor is directly proportional to the voltage across it and inversely proportional to its resistance. Therefore, if the voltage across the resistor is 251 V and its resistance is 3.53 kΩ, the current through it will be approximately 71.1 mA.

It is important to choose the appropriate resistor for a circuit to ensure that the voltage and current are within safe operating limits. Additionally, resistors can be used for a variety of purposes such as voltage dividers, current limiters, and signal attenuation.

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which activity is best described as a scientific endeavor?

which activity is best described as a scientific endeavor?

Answers

Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

A scientific endeavor builds scientific knowledge by postulating theories that explains any phenomenon. It might differ from what was already known as the truth. In a scientific endeavor, a problem is first identified, observations are made, hypothesis are created based on the observations and experiments are conducted to prove the hypothesis.

The other options manly focusses on developing devices and technologies to prevent or withstand hurricanes which are examples of engineering endeavors.

Therefore, Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

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This type of radiation does not need a _________ to transfer heat.

Answers

Answer:

Hey there!

It does not need a medium to transfer heat.

Let me know if this helps :)

Answer:medium

Explanation:

Got it right on USA test prep

As you hold your leg in this position, the upper leg exerts a force on the lower leg at the knee joint. What is the direction of this force

Answers

The force exerted by the upper leg on the lower leg at the knee joint is directed inward or towards the center of the knee joint.

When you hold your leg in a position, such as when standing or sitting with your knee bent, there is a force being exerted at the knee joint. This force is generated by the muscles and tendons in the upper leg, such as the quadriceps and hamstrings, and is transmitted to the lower leg through the patellar tendon. The direction of this force is typically inward or towards the center of the knee joint.

This inward force is essential for maintaining stability and balance in the knee joint. It helps to counteract the external forces and loads applied to the leg during various activities such as walking, running, or jumping. The force distributes the weight and stress evenly across the joint, preventing excessive pressure on any specific area.

It's important to note that the direction of the force can vary depending on the specific leg position and the actions being performed. For example, during activities like kicking or twisting motions, the force exerted on the knee joint may have different directions. However, in a static position where the leg is being held, the primary direction of the force is inward, providing stability and support to the knee joint.

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NEED HELP RN!!
All scientist use the scientific method 1 point True False​

Answers

Answer:

True

Explanation:

It is true because scientists must use this method to get a correct and accurate solution.

This statement is absolutely true

the distance traveled over a period of time is called:

Answers

The answer to this is speed

what is the arrangement of elements organized by atomic number?

Answers

The arrangement of elements organized by atomic number is called as periodic table.

The periodic table is a tabular collection of chemical elements arranged according to atomic number, starting with hydrogen and going up to oganesson, which has the highest atomic number. The quantity of protons in the nucleus of an element's atom is known as the element's atomic number.

A set number of electrons are present in each element. The atomic number of two elements cannot be the same. As a result, elements may be simply sorted according to rising atomic number.

The atomic number and mass of the elements rise from left to right.

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A truck is facing down a slope of 5°. The truck has a mass of 3000 kg. The driver lets of the brake and the truck accelerates down the slope. What is the acceleration of the truck? What is the acceleration as a vector in component form?

Answers

The truck acceleration down the hill at a rate of roughly 0.8567 m/s². The acceleration can be expressed as a vector in component form, a = (0.8567 m/s², 0).

What make up the acceleration vector's components?

This section divides acceleration into two parts, the tangential component and the normal component. We can divide acceleration into I j, and k components in a manner similar to how we divide all vectors.

You can compute the gravitational force as follows:

F_gravity = m * g

where m is the truck's mass and g is gravity's acceleration, which is roughly 9.81 m/s².

F_gravity = 3000 kg * 9.81 m/s² = 29,430 N

F_parallel = F_gravity * sin(5°)

F_parallel = 29,430 N * sin(5°) = 2,570 N

F_net = m * a

2,570 N = 3000 kg * a

a = 2,570 N / 3000 kg = 0.8567 m/s².

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a student wants to find the thickness of one page of a book. explain how she might do this accurately.
can a vernier caliper be used ​

Answers

The student can use a micrometer, also known as a micrometer caliper, to accurately measure the thickness of one page of a book. A micrometer is a precision measuring instrument that has a calibrated screw for measuring small distances. To use a micrometer, the student should:

Place the micrometer jaws on the page, making sure that the jaws are parallel to the edges of the page.

Close the jaws gently until they touch the page.

Read the measurement on the micrometer's scale.

Repeat the measurement a few times to ensure accuracy and take an average of the readings.

Alternatively, the student can use a ruler or a thickness gauge which is a small device that can be used to measure the thickness of small objects.

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a 150n horizontal push is applied to a 10kg box on a des. if the coefficient of friction is 0.20, what is the acceleration of the box

Answers

Think of the slab's net acceleration as having a limiting friction F s = mg=0.6109.8=58.8N. Since 100N is greater than 58.8N, the slab will accelerate at a different rate (f=40a, 0.4109.8=40a, and a=0.98m/s2).

How is horizontal force solved?

Friction and the applied force are the two horizontal forces. The sled's mass and acceleration can be used to calculate the net force. Fnet is equal to m * a * (4.52 kg * 1.28 m/s/s) * 5.7856 N, correctly.

Why does friction have a coefficient between 0 and 1?

The value is often between 0 and 1, but it can also be higher. A number of 0 indicates that there is absolutely no friction between the items; superfluidity makes this feasible. Otherwise, there will be some friction when items come in contact. The frictional force is equal to the normal force when the value is 1.

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which is 20 light years planet from earth​

Answers

A light-year is a unit of distance, specifically the distance that light travels in one year.

Light travels at a speed of approximately 299,792 kilometers per second (or about 186,282 miles per second) in a vacuum. Therefore, to determine which planet is 20 light-years away from Earth, we need to identify a planet located at a distance of approximately 20 times this speed of light.

As of my knowledge cutoff in September 2021, no known exoplanets have been directly observed and confirmed to be located exactly 20 light-years away from Earth. However, there are numerous exoplanets that have been discovered within a range of distances from Earth.

Some notable exoplanets discovered within approximately 20 light-years of Earth include:

Proxima Centauri b: This exoplanet is located in the habitable zone of the closest star system to our Solar System, Proxima Centauri. It is estimated to be around 4.24 light-years away.

Ross 128 b: This exoplanet orbits a red dwarf star known as Ross 128, located approximately 11 light-years away from Earth.

TRAPPIST-1 system: This system hosts seven Earth-sized planets orbiting the ultra-cool dwarf star TRAPPIST-1. The TRAPPIST-1 system is located around 39 light-years away from Earth.

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024 (part 1 of 3) 10.0 points
A 2.0 kg block is pushed 3.0 m at a constant
velocity up a vertical wall by a constant force
applied at an angle of 29.0° with the horizon-
tal, as shown in the figure.
The acceleration of gravity is 9.81 m/s².
2 kg
3 m
29°
Drawing not to scale.
If the coefficient of kinetic friction between
the block and the wall is 0.30, find
a) the work done by the force on the block.
Answer in units of J.

024 (part 1 of 3) 10.0 pointsA 2.0 kg block is pushed 3.0 m at a constantvelocity up a vertical wall

Answers

The work was done by the force on the block of 2 kg with an acceleration gravity of  9.81 \(m/s^2\) and at an angle of \(29^o\) 42.83 J.

What is work done?

When an object is moved over a distance by an external force, at least some of that force must be applied in the direction of the displacement. This is known as work in physics. Work may be estimated if the force acting along the path is constant by multiplying the length of the path by the component of the force acting along the path.

To express this formally, the work W is equal to the force f times the length d, or W = fd. The work is W = fd cos if the force is applied at an angle to the displacement.

Given:

The mass, m = 2 kg,

The acceleration, g = 9.81 \(m/s^2\),

θ = angle between block and surface kinetic friction = μ

Calculate the work done by the formula given below,

\(W_{fy}\) = F sinθ

\(W_{fy}\) =  (\(mgsin\)θ)/ (sinθ -  μ * cosθ)

Substitute the values

\(W_{fy}\)  = \((2*9.81 sin29^{o} )/sin29^o - 0.30cos29^o\)

\(W_{fy}\)  = 42.83 J

Therefore, the work done by the force on the block of 2 kg with an acceleration gravity of  9.81 \(m/s^2\), and at an angle of \(29^o\) is 42.83 J.

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Bohr developed an equation for calculating the energy levels of a hydrogen atom. Which of the following can be determined using this equation? Select all that apply.
The energy needed to remove an electron completely from the hydrogen atom
The difference in energy between two energy levels in a hydrogen atom
The wavelength of a line in the atomic line spectrum for hydrogen

Answers

Bohr's equation enables us to determine the ionization energy, energy differences between energy levels, and the wavelengths associated with the atomic line spectrum for hydrogen atoms.

Bohr's equation for calculating the energy levels of a hydrogen atom provides valuable information about the atom's behavior. Using this equation, we can determine the following:

1. The energy needed to remove an electron completely from the hydrogen atom: Bohr's equation helps calculate the ionization energy, which is the amount of energy required to detach an electron from its lowest energy level (n=1) to infinity.

2. The difference in energy between two energy levels in a hydrogen atom: The equation calculates the energy levels for different orbits (n values), and by finding the difference between the energy levels, we can determine the energy gap between them.

3. The wavelength of a line in the atomic line spectrum for hydrogen: When an electron transitions between energy levels, it either absorbs or emits a photon. The energy of the photon corresponds to the difference in energy between the two levels. Using this information and the Rydberg formula, we can calculate the wavelength of the emitted or absorbed light, which corresponds to a line in the atomic line spectrum for hydrogen.

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To measure the parallax of a star, astronomers would mark its position with respect to other stars in the field, on two distinct observations, separated by a timeline of

Answers

To measure the parallax of a star, astronomers would mark its position with respect to other stars in the field, on two distinct observations, separated by a timeline of six months.

The timeline of six months is used because it allows Earth to be on the opposite side of its orbit, creating the largest possible baseline for the parallax measurement.

Parallax is the apparent shift in a star's position when viewed from two different points in Earth's orbit around the Sun. To accurately measure this shift, astronomers observe the star twice, with a six-month interval between observations.

This ensures the maximum distance between observation points, which in turn provides the most accurate parallax angle. Once the angle is obtained, the distance to the star can be calculated using trigonometry.

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Suppose you display a 1 kHz, 2 V sine wave in channel A and a DC, 1V signal in channel B with sensitivities set on 1V/div. You select 'Add' so that the two signals are combined and you readjust the position so the trace is in the middle of the screen. If you switch the signal in channel B from DC to AC, what will happen?


a. The trace jumps down 2 divisions.

b. The trace jumps down 1 division

c. The trace jumps up 1 division.

d. Nothing happens

Answers

When you display a 1 kHz, 2 V sine wave in channel A and a DC, 1 V signal in channel B with sensitivities set on 1V/div. Hence, the correct option is (c) The trace jumps up 1 division.

You select 'Add' so that the two signals are combined and you readjust the position so the trace is in the middle of the screen. If you switch the signal in channel B from DC to AC, the trace jumps up 1 division. An oscilloscope is an instrument that is used to monitor and visualize changing electrical signals. An oscilloscope functions by graphing the changes of a signal over time, with voltage represented on the y-axis and time represented on the x-axis. An oscilloscope functions by detecting and plotting the signals it receives. Oscilloscopes are often used in electronics, engineering, and telecommunications to examine and diagnose various systems. Signals may come from numerous sources, including electronic components, microprocessors, and electrical currents.

When you switch the signal in channel B from DC to AC, the trace jumps up 1 division. The trace jumps up 1 division when the signal in channel B is changed from DC to AC because the DC signal had an average value of 1V, while the AC signal has an average value of zero. When the DC signal is added to the AC signal, the trace is pulled down. When the DC signal is replaced with the AC signal, the trace jumps back up by one division.

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Was the cannonball able to hit its target of 50 meters when the initial velocity was 20 m/s? Why?/Why Not?

(was not able to hit the target, but I don't know the reason)

Answers

Answer:

The cannon ball was not able to hit the target because the target is located at a height of 50 m whereas the cannon ball was only above to get to a height of 20 m.

Explanation:

From the question given above, the following data were obtained:

Height to which the target is located = 50 m

Initial velocity (u) = 20 m/s

To know whether or not the cannon ball is able to hit the target, we shall determine the maximum height to which the cannon ball attained. This can be obtained as follow:

Initial velocity (u) = 20 m/s

Final velocity (v) = 0 (at maximum height)

Acceleration due to gravity (g) = 10 m/s²

Maximum height (h) =?

v² = u² – 2gh (since the ball is going against gravity)

0² = 20² – (2 × 10 × h)

0 = 400 – 20h

Collect like terms

0 – 400 = – 20h

– 400 = – 20h

Divide both side by – 20

h = – 400 / – 20

h = 20 m

Thus, the the maximum height to which the cannon ball attained is 20 m.

From the calculations made above, we can conclude that the cannon ball was not able to hit the target because the target is located at a height of 50 m whereas the cannon ball was only above to get to a height of 20 m.

Thermal energy transfer portfolio 1

Answers

A thermal energy transfer portfolio would be an excellent way for students to showcase their knowledge and understanding of this important scientific concept.

Thermal energy transfer is the energy transfer between two or more objects that have different temperatures. This energy transfer can take place in three different ways: conduction, convection, and radiation. A portfolio is a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements in a particular area.

Therefore, a thermal energy transfer portfolio would be a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements related to thermal energy transfer. This portfolio could include lab reports, experimental data, diagrams, and explanations of the various ways thermal energy can be transferred.

For example, a student's thermal energy transfer portfolio might include:

1. A lab report detailing an experiment they conducted to measure the rate of heat transfer through different materials using conduction.

2. A diagram showing the process of heat transfer through convection in a fluid, such as air or water.

3. A written explanation of the concept of radiation and how it relates to thermal energy transfer.

4. A spreadsheet of data showing the temperature changes in a system as heat is transferred through it.

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Thermal energy transfer portfolio 1

You and your friend each drive 50.0 km.

You travel at 90.0 km/hr. Your friend travels at 105 km/hr.

For how many minutes will your friend be waiting for you at the end of the trip?

Round your answer to the nearest minute.

Answers

Answer:

Friend will wait 5 minutes

Answer:

you're Friend will wait 5 minutes

A pendulum swings from -10 degrees to +10 degrees

Answers

The range of the pendulum swing is 20 degrees, from -10 degrees to +10 degrees.

What is pendulum swing?

Pendulum swing is a phenomenon in which an object, suspended from a fixed point, swings back and forth in a regular rhythm. The pendulum is a simple mechanical system that has been used in clocks and other timepieces since the 16th century.

Pendulum swings are also used in amusement park rides and scientific experiments. A pendulum is usually made up of a mass, or bob, suspended from a string or wire, and is driven by gravity. As the pendulum swings, the force of gravity causes the bob to move in an arc, oscillating back and forth. The arc of the swing is determined by the length of the string, the mass of the bob, and the strength of the gravitational force pulling on it.

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two blocks are sliding on a frictionless surface. eventually, the smaller block catches up with the larger one, collides with it, and sticks. what is the speed of the two blocks after the collision?

Answers

When two blocks are sliding on a frictionless surface ,Then speed of the two blocks after the collision is 2V.

What is a frictionless surface?

A Frictionless surface refers to that kind of surface where the force acting on any object which makes it difficult for the object to slide is almost zero or negligible,

As per the given data

The mass of smaller box= m and velocity =v

And the mass of larger box =M and velocity =V

So the momentum ps=mv and pL= MV

And combined mass of both the boxes will be M+m

Hence the combined velocity after collision = Momentum of combination/Mass of combination

V=MV+mv/M+m

Then V =V+v

V=2V

Hence, When t wo blocks are sliding on a frictionless surface ,Then speed of the two blocks after the collision is 2V.

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HELP! FOR A TEST!

The slope of a velocity versus time graph is the object's:

acceleration
displacement
position
velocity

Answers

Answer:

On a velocity vs time graph the slope of the line represents the acceleration of the object. With a slope of zero, the object is moving at a constant velocity in the positive (+) direction during this five minute interval. ... Displacement and distance can both be determine on a velocity vs.

Answer:

Acceleration

Explanation:

plato

A runner is jogging in a straight line at a
steady vr= 5 km/hr. When the runner is L=
6.2 km from the finish line, a bird begins flying
straight from the runner to the finish line at
vb= 15 km/hr (3 times as fast as the runner).
When the bird reaches the finish line, it turns
around and flies directly back to the runner.What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km

Answers

The total distance covered by the bird when it flies to the finish line and back to the runner is 9.3 km.

What is the total distance travelled by the bird in flying from the runner to the finish line and back to the runner?

The total total distance travelled by the bird in flying from the runner to the finish line and back to the runner is calculated as follows:

Initial distance from the runner to the finish line = 6.2 km

Time taken by the bird to reach the finish line from the initial position of the runner = 6.2/15 * 60 mins = 24.8 mins

Time it will take the runner to get to finish line = 6.2/5 * 60 = 74.4 mins

Distance traveled by the runner from L after 24.8 mins will be:

Distance traveled by the runner from L = 5 * 24.8/60

Distance traveled by the runner from L  = 2.07 km

Remaining distance to be covered = 6.2 - 2.07 = 4.13

The ratio of the speed of the bird and the runner = 1 : 3

Total ratio = 4

Distance covered by bird in returning = 3/4 * 4.13 = 3.1 km

Total distance covered by the bird = 6.2 + 3.1 km

Total distance covered by the bird = 9.3 km

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the direction of the force of sliding friction is always select one to that of velocity of the object and is select one static friction.

Answers

The direction of the force of sliding friction is always that of velocity of the object.

What is Static friction?

Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight.

Sliding or kinetic friction is the resistance to the actual relative sliding motion between two surfaces in contact.

Let's start by learning about frictional forces from a basic understanding. If a metal block is on a table, it might not move in response to a weak force.

The metal block begins to move as the force is gradually increased.The resistive force provided by the metal block in its static form is the same as the controlling value of the force at which the metal block begins to move.Static Friction is the name given to this resistive force. The metal block starts to budge as the experiment continues and the force is increased.

Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight. In particular, if the surface on which the body slides is horizontal, the normal force will be equal to the object's weight.

Thus, F = u tanα

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The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 5.5 minutes. (a) Calculate the expected arrival time. (Round your answer to 2 decimal place.) (b) What is the probability that an elevator arrives in less than 2.6 minutes

Answers

Answer:

(a). 2.8 minutes.

(b). 0.4732

Explanation:

Without mincing words, let's dive straight into the solution to the question.

So, for the part (a), the expected arrival time can be calculated as given below.

The distribution falls between the ranges of 0(lower boundary) to 5.5minutes(upper boundary).

Therefore, the expected time = (0 + 5.5)÷ 2 = 2.75 minutes = 2.8 minutes(to 2 decimal places).

(b). The probability that an elevator arrives in less than 2.6 minutes can be calculated as given below;

Recall: We have that the upper boundary = 0 and the lower boundary = 5.5 minutes for the distribution. Also, the upper limit is equal to 2.6 minutes and the lower limits = 0 minutes.

Therefore, 1/ (5.5 - 0) = 1/5.5 = 0.182.

Therefore, the probability that an elevator arrives in less than 2.6 minutes = 0.182 ( 2.6 - 0).

The probability that an elevator arrives in less than 2.6 minutes = ( 0.182 × 2.6).

The probability that an elevator arrives in less than 2.6 minutes = 0.4732.

determine the gravitational force of attraction between two 35,000 kg asteroids whose centers are exactly 2.0 meters from each other. g

Answers

The gravitational force of attraction between the two asteroids is approximately 4.9 x \(10^{7}\) Newtons (N).

What is gravitational force?

The gravitational force of attraction between two objects is given by the formula:

F = G * (m1 * m2) / r²

where F is the gravitational force, G is the gravitational constant (6.67 x \(10^{-11}\) N*m²/kg²), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

In this case, the two asteroids have a mass of 35,000 kg each, so m1 = m2 = 35,000 kg. The distance between their centers is 2.0 meters, so r = 2.0 meters.

Plugging these values into the formula, we get:

F = (6.67 x \(10^{-11}\)N*m²/kg²) * (35,000 kg * 35,000 kg) / (2.0 meters)²

F = 4.9 x \(10^{7}\)N

Therefore, the gravitational force of attraction between the two asteroids is approximately 4.9 x \(10^{7}\) Newtons (N).

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