If runner A is running at 7.50 m/s and runner B is running at 7.90 m/s, how long will it take runner B to catch runner A if runner A has a
55.0-m head start?

Answers

Answer 1

Answer:

t= 137.5 s

Explanation:

So if we are wanting to figure out how long it takes runner B to catch runner A. we must first set the slope of each runner equal to one another

Slopes:

Runner A:    y = 7.50x + 55

Runner B:    y = 7.90 x

sooooo

  7.50 x + 55 = 7.90 x

- 7.50 x          - 7.50 x

 55 = .40 x

55/.40 = .40 x / .40

x = 137.5 s

t= 137.5 s

7.50 * 137.5 + 55 =1086.25 m

7.90 * 137.5 =  1086.25 m

Answer 2

Runner B will catch Runner A after approximately 44.00 seconds.

To determine the time it takes for Runner B to catch Runner A, we need to consider their relative speeds and the initial distance between them.

Runner B is running faster than Runner A, so the distance between them will decrease over time. The relative speed of Runner B with respect to Runner A is the difference in their speeds:

Relative speed = Speed of Runner B - Speed of Runner A

Relative speed = 7.90 m/s - 7.50 m/s = 0.40 m/s.

Runner B needs to cover the initial distance (head start) of 55.0 meters between them. The time it takes for Runner B to catch up to Runner A can be calculated using the formula:

Time = Distance / Relative Speed.

Time = 55.0 m / 0.40 m/s = 137.5 seconds.

However, this time includes the time taken by Runner A to run the initial distance. To find the time taken by Runner B to catch Runner A after accounting for the head start, we subtract the initial time from the total time:

Time taken by Runner B = Total time - Time taken by Runner A.

Runner A's initial time = Distance / Speed = 55.0 m / 7.50 m/s = 7.3333 seconds.

Time taken by Runner B = 137.5 seconds - 7.3333 seconds = 130.1667 seconds.

Rounded to two decimal places, it takes Runner B approximately 130.17 seconds to catch up to Runner A.

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Related Questions

A team at a university in Pennsylvania has concerns about the health of streams in a watershed because of the various land uses in the area. There has been an increase in road repair work, and the area has many dairy farms. Which of the following would be most effective at preventing sediment runoff into the streams of the watershed? *
a) Have construction crews steepen the slopes of the valleys of streams near roadwork zones.
b) Maintain zones of grass at least wide on the sides of streams in the area.
c) Construct at least one dam on a stream in the watershed to improve flood control.
d) Shift from dairy farming to corn planted in agricultural fields located within of streams.

Answers

The ecological methods allows to find the correct answer to the question of how to prevent river pollution is:

   b)  Maintain zones of grass at least wide on the sides of streams in the area.

Stream pollution from human activities can occur in a number of ways:

The rubble boat in the river. The dragging of products from the bargains, fertilizers by the rains.   Dragging of land by rain and machinery.

Let's analyze the different claims.

a) False. It is too expensive and the slopes cannot be changed due to possible flooding problems.

b) True. Maintaining a protective zone with grass on the sides of the rivers, prevents the waste of the frarmer from reaching the river, and the problems of the debris reaching the river bank. This un  ecological methods.

c) False. The dam controls flooding but does not eliminate the problems of river pollution.

d) False. Many lands are not acts for agriculture, but for livestock.

In conclusion we can find the correct answer to the question of how to prevent river pollution is:

   b) Maintain zones of grass at least wide on the sides of streams in the area.

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A speaker use a 9V battery. It has a resistance of 200 ohms. What is the current flowing through the speaker?​

Answers

The current flowing through the speaker  is 0.045 ampere.

What is electric current?

The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Electrons are little particles that are part of a substance's molecular structure.

The potential difference of the speaker = 9 V.

The resistance of the speaker = 200 Ω.

According to Ohm's law,

potential difference  = resistance × current flowing

Hence, the current flowing through the speaker =   potential difference ÷ resistance

= 9 V/200 Ω

= 0.045 Ampere.

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A cat that weighs 4 kilograms is moving at a velocity of 1 m/s. What is the kinetic energy?

Answers

The kinetic energy of the cat is 2 joules (J).

The kinetic energy of an object can be calculated using the formula KE = 1/2 * mass * velocity^2.

The kinetic energy of an object can be calculated using the formula:

Kinetic Energy (KE) = 0.5 * mass * velocity^2

In this case, the mass of the cat is 4 kilograms, and its velocity is 1 m/s. Plugging these values into the formula:

KE = 0.5 * 4 kg * (1 m/s)^2

Simplifying the equation:

KE = 0.5 * 4 kg * 1 m^2/s^2

KE = 0.5 * 4 kg * 1

KE = 2 kg

Therefore, the kinetic energy of the cat is 2 joules (J).

Kinetic energy is the energy possessed by an object due to its motion. In this case, the cat's kinetic energy is determined by its mass and velocity. The formula for kinetic energy demonstrates that it is directly proportional to the mass and square of the velocity. As the mass increases, the kinetic energy also increases. Similarly, as the velocity increases, the kinetic energy increases exponentially.

In this example, the cat's kinetic energy is relatively low due to its mass and velocity values. If the cat were moving at a higher velocity or had a greater mass, the kinetic energy would be significantly higher. Kinetic energy is an important concept in understanding the energy associated with moving objects and is utilized in various fields such as physics, engineering, and sports science.

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Part A click listen to a single source and select audio enabled and listener on the right control panel increase the frequency of the sound wave to about 600 hertz using he slider on the right. What happens to the sound generated

Answers

Answer:

When the frequency of the wave is increased, the pitch of the sound increases; that is, he sound becomes sharper or higher.

Explanation: Just completed on Edmentum

HELP PLEASE!!!! :( Does anyone have Lab: Conservation of Linear Momentum for online Physics class?? WILL GIVE YOU 80 PTS

Answers

Answer:

this is it

Explanation:

the control and experiemental groups i didnt know

t=4s2. A boat accelerates at a rate of 6.0 m/s down the river. How much time will it takethe boat to speed up to 70 m/s?

t=4s2. A boat accelerates at a rate of 6.0 m/s down the river. How much time will it takethe boat to

Answers

In order to calculate the amount of time needed for the boat to speed up to 70 m/s, we can use the formula (EQUATIONS):

\(V=V_0+a\cdot t\)

Where V is the final speed, V0 is the initial speed, a is the acceleration and t is the time.

(GIVEN) So, for V = 70, V0 = 0 and a = 6, we can calculate the value of t (UNKNOWN):

(SETUP):

\(\begin{gathered} 70=0+6\cdot t \\ 6t=70 \\ t=\frac{70}{6} \\ t=11.67\text{ s} \end{gathered}\)

Therefore it will take 11.67 seconds (SOLVE).

In Einstein's Thoery of Relativity. What did he believe was the relationship between energy and malter?​

Answers

Explanation:

Einsteins theory of relativity explains how space and time are linked for objects that are moving at a consistent speed in a straight line.

What is the correct definition of amplitude

Answers

Answer:

In my textbook's words-

Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

Explanation:

The correct definition of amplitude is that it is a maximum displacement

that occurs on a vibrating body from one point to the other.

The initial point of the wave is regarded as its equilibrium position which is

equal to one-half the length of the vibration path.

Amplitude helps to calculate the peak value of different types of waves

such as water waves and in electrical appliances so as to know the peak

current suitable for it.

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How much is the velocity of a body when it travels 600m in 5 minutes? ​

Answers

There are 60 minutes in an hour. Whatever distance a person crosses in 5 mins, he/she can cross 12 times that distance in 1 hour. So, in one hour the person could have crossed 12 X 600 = 7200 meters.

But, 1000 meters equal one kilometer. So, 7200m = 7.2 km. Thus, this person travels 7.2 km in one hour, and hence has a speed of 7.2 km/hr

Answer:

2m/s

Explanation:

V=S/t

v=distance ÷ time

v=600m. × 5mins

v=600/5 ×60

600/300

2m/s

How many energy levels does hydrogen have?

Answers

It’s only has one level

A sub-atomic event in which a uranium nucleus splits into lighter
radioactive materials, neutrons, gamma rays, and neutrinos is called a
A fusion
B chain reaction
C enrichment
D Fission reaction

Answers

Answer:

A Fusion

Explanation:

A subatomic event when a uranium nucleus splits into two lighter radioactive materials, then it is a Fission reaction. Hence, option D is correct.

What is the Fission reaction?

Nuclear fission is the process by which an atom's nucleus breaks into two lighter nuclei during a nuclear reaction. This decay may occur naturally as a result of spontaneous radioactive decay, or it may be replicated in a laboratory setting by meeting the appropriate circumstances (bombarding with neutrinos). The resultant fragments typically weigh less when combined than the initial bulk.

Fusion reactions do not produce power, but fission reactions do. However, we haven't yet created technology that can control fusion reactions effectively enough to harness them for useful purposes.

Nuclear fusion operations are distinct from fission nuclear reactions in that the latter do not produce power for consumers.

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-Cesar the monkey observed the swinging behaviors of his parents. He is now able to swing from branch to branch after much practice. The observation of his parents swinging and practicing what he saw mainly involved _____ neurons; the neurons that are the basis of
Motor
Mirror
Sensory
Reticular

Answers


The 3rd one I think . I did something similar a while ago

The observation of his parents swinging and practicing what he saw mainly involved sensory neurons.

There are five senses in the human body, they are;

SightSmellTouch TasteHearing

Information is passed to the central nervous system (CNS) from each of these senses.

The neurons that convey sensory information of sight, smell, touch, taste and hearing to the brain are called sensory neurons.

Thus, the observation of his parents swinging and practicing what he saw mainly involved  sensory neurons.

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PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons

Answers

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

Why the electron number cannot be used instead?

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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= 1.2M²₂// then taking a penedy A constant force of 5N ads to 5 sec. on a mass of 5 kg initially at rest. calculate the final momentum!​

Answers

The final momentum is 25 Kg m/s

What is the momentum?

In physics, momentum is a measure of an object's motion, calculated by multiplying the object's mass by its velocity. Mathematically, momentum is represented by the symbol "p" and can be expressed as:

p = mv

where "p" is momentum, "m" is mass, and "v" is velocity. Momentum is a vector quantity, meaning that it has both a magnitude (the amount of momentum) and a direction (the direction of the motion).

Given that;

Ft = mv - mu

It then follows that;

F = force

m = mass

v and u are the initial and the final velocities

Thus;

5 * 5 = 5v

v = 25/5

= 5 m/s

The final momentum is thus;

5 m/s * 5 Kg

= 25 Kg m/s

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1. What types of elements does an ionic bond occur between?

Answers

Answer:

Ionic bonds form when a nonmetal and a metal exchange electrons, while covalent bonds form when electrons are shared between two nonmetals. An ionic bond is a type of chemical bond formed through an electrostatic attraction between two oppositely charged ions.

Explanation:

What feature of a battery affects how often it needs to be replaced?

A. Carbon footprint

B. Capacity

C. Lifespan

D. Safety

Answers

Answer:

c.lifespan or battery lifespan

Explanation:

"Battery Lifespan"affects how often it needs to be replaced

Answer:

Lifespan

Explanation:

"Longevity is the lifespan of a battery and affects how often it needs to be replaced."

You are super worried. By these measurements we only have a few hours left of
oxygen. What will the time be when we run out of oxygen?

Answers

Answer:

The extrapolated data from these simulations determined that Earth will lose its oxygen-rich atmosphere in approximately 1 billion years. That's the good news. The bad news is that once that happens, the planet will become completely inhospitable for complex aerobic life.

A television camera is positioned 4 km from the base of a rocket launching pad. In order to keep the rocket in focus as it takes off, the camera must be programmed with the distance to the rocket and how that distance is changing. If we assume that the rocket rises vertically at a speed of 200 km/hr, how fast is the distance from the camera to the rocket changing when the rocket has risen 3 km

Answers

Answer:

120 km/hr

Explanation:

Let D be the distance between the rocket and the camera as the rocket is moving upwards. Let d be the distance the rocket moves and L be the distance between the camera and the base of the rocket = 4 km.

Now, at any instant, D² = d² + L²

= d² + 4²

= d² + 16 since the three distances form a right-angled triangle with the distance between the rocket and the camera as the rocket is moving upwards as the hypotenuse side.

differentiating the expression to find the rate of change of D with respect to time, dD/dt ,we have

d(D²)/dt = d(d² + 16)/dt

2DdD/dt = 2d[d(d)/dt]

dD/dt = 2d[d(d)/dt] ÷ 2D

Now d(d)/dt = vertical speed of rocket = 200 km/hr

dD/dt = 200d/D  [D = √(d² + 16)]

dD/dt = 200d/[√d² + 16]

Now substituting d = 3 km, the distance the rocket has risen into the equation, we have

dD/dt = 200(3)/[√(3² + 16)]

dD/dt = 600/[√(9 + 16)]

dD/dt = 600/√25

dD/dt = 600/5

dD/dt = 120 km/hr

So,  the speed at which the distance from the camera to the rocket changing when the rocket has risen 3 km is 120 km/hr.

2. The following diagram shows a metal ball and ring apparatus. The ring and ball are both made of brass. At room temperature, the ball is just the right size to pass through the ring. When the ball is heated, it is unable to pass through the ring. Which of the following is NOT true? A The volume of the ball increased. B The mass of the ball increased. C. The speed at which the particles move increased. D The spaces between the particles increased. Not True

Answers

The statement that is NOT true is "the spaces between the particles increased.

option D.

What is effect of temperature on volume?

If we consider the solids and liquids, when the temperature increases the molecules gain energy and start moving in all directions. This expands the substance and the volume of the substance increases.

Similar, when the ball is heated, the volume of the ball increases due to thermal expansion.

As the temperature increases, the average kinetic energy of the particles within the ball also increases, causing them to move faster.

However, the spaces between the particles do not necessarily increase. In fact, the expansion of the ball occurs due to the particles themselves moving farther apart, but the intermolecular spacing within the ball remains relatively constant.

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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?

Answers

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Ted lifts a 10N weight at a height of 1.5 m in 1
second
Johnny lifts a 10N weight at a height of 1.5 m in
2 second
Which statements are correct?
A. Johnny and Ted did the same amount of
work
B. Ted did more work
C. Johnny and Ted expanded the same power
D. Ted expanded more power
E Johnny did more work
F. Johnny expanded more power

Answers

Answer:

D. Ted expanded more power.

Explanation:

Given the following data;

For Ted.

Force = 10N

Height = 1.5m

Time = 1 seconds

To find Ted's power;

Power = workdone/time

But workdone = force * distance

Workdone = 10 * 1.5

Workdone = 15 Nm

Power = 15/1

Power = 15 Watts.

For Johnny.

Force = 10N

Height = 1.5m

Time = 2 seconds

To find Ted's power;

Power = workdone/time

But workdone = force * distance

Workdone = 10 * 1.5

Workdone = 15 Nm

Power = 15/2

Power = 7.5 Watts

Therefore, from the calculations we can deduce and conclude that Ted expanded more power.

14. Why is it cooler to wear a white shirt than a black shirt on a hot, sunny day?

Answers

Answer:

White or lighter colored, shirt REFLECTS most of the visible wavelengths or all colors of light while a black or dark shirt ABSORBS more wavelengths.

So, Absorbed radiation is converted into heat, making the darker or black shirt warmer to wear.

 

-TheUnknownScientist 72

A pilot light is typically wired in series with a/an____ to indicate whether the fan is moving air
A. auxiliary contact
B. thermostat
C. flow switch
D. thermal overload
to indicate whether the fan is moving air.

Answers

A pilot light is typically wired in series with a thermostat to indicate whether the fan is moving air

Who is a pilot?

We know that the pilot is such a person that have been trained so as to be able to fly the air plane. This is the individual that can be able to control a plane and there are tools that the pilot would have to use to do his job.

Now we know that the pilot light is one of the tools that the pilot can use to be able to use in the discharge of his job when he is flying the air craft that is moving and it has to be in series with the thermostat.

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This picture represents the electric field diagram between two particles with static charges. Do the two particles have the same charge? If the particles are free to move, what affect will the two particles have on each other? If a third particle was added to this field with a positive charge, what would it be attracted to? If an uncharged particle was placed between A and B, which way would it move?​

 This picture represents the electric field diagram between two particles with static charges. Do the

Answers

Answers:

No, They will attract each other, B, and neither direction

Explanation:

Since the two already presented particles in the diagram represent both opposing charges due to the direction of the arrows (the arrows facing away from the particle shows a positive charge and the particles facing towards the particle show a negative charge), not only because of this but as the arrows between the particles show an attracting magnetic field, then it can be concluded that the particles will attract to each other and if another particle was introduced into the diagram of a positive charge, then it would attract to the negatively charged particle. If you have any questions or need further explanation, please comment below. E2021, have a great day.

 This picture represents the electric field diagram between two particles with static charges. Do the

Answer:

No, They Will Attract Each Other, B, and Neither Direction

Explanation: Im an edge student

A crate with a mass of 35.0 kg is pushed with a horizontal force of 150 N. The crate moves at a constant speed across a level, rough surface a distance of 5.85 m

A crate with a mass of 35.0 kg is pushed with a horizontal force of 150 N. The crate moves at a constant

Answers

(a) The work done by the 150 N force is 877.5 Joules.

(b) The coefficient of kinetic friction between the crate and the surface is approximately 0.437.

To answer this problem, we must take into account the work done by the applied force as well as the work done by friction.

(a) The applied force's work may be estimated using the following formula:

Work = Force * Distance * cos(theta)

where the force is 150 N and the distance is 5.85 m. Since the force is applied horizontally and the displacement is also horizontal, the angle theta between them is 0 degrees, and the cosine of 0 degrees is 1.

As a result, the applied force's work is:

Work = 150 N * 5.85 m * cos(0) = 877.5 J

So, the work done by the 150 N force is 877.5 Joules.

(b) Frictional work is equal to the force of friction multiplied by the distance. The work done by friction is identical in amount but opposite in direction to the work done by the applied force since the crate travels at a constant speed.

The frictional work may be estimated using the following formula:

Work = Force of Friction * Distance * cos(theta)

The net force applied on the crate is zero since it is travelling at a constant pace. As a result, the friction force must be equal to the applied force, which is 150 N.

Thus, the work done by friction is:

Work = 150 N * 5.85 m * cos(180) = -877.5 J

Since the work done by friction is negative, it indicates that the direction of the frictional force is opposite to the direction of motion.

The coefficient of kinetic friction may be calculated using the following equation:

Friction Force = Kinetic Friction Coefficient * Normal Force

The normal force equals the crate's weight, which may be computed as:

Normal Force = mass * gravity

where the mass is 35.0 kg and the acceleration due to gravity is approximately 9.8 m/s^2.

Normal Force = 35.0 kg * 9.8 m/s^2 = 343 N

Now, we can rearrange the equation for the force of friction to solve for the coefficient of kinetic friction:

Force of Friction = coefficient of kinetic friction * Normal Force

150 N = coefficient of kinetic friction * 343 N

coefficient of kinetic friction = 150 N / 343 N ≈ 0.437

As a result, the kinetic friction coefficient between the container and the surface is roughly 0.437.

In summary, the work done by the 150 N force is 877.5 Joules, and the coefficient of kinetic friction between the crate and the surface is approximately 0.437.

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Are vaccines 100% effective and safe for absolutely everyone?

Answers

No vaccines are not 100% effective or save for everyone.

A race starts and finishes a race that is 50,000m. (30miles). The time is 23 minutes. The final velocity is 67m/s. What is the average acceleration ?

Use acceleration formula

Answers

Answer:

a = 0.0505 [m/s^2]

Explanation:

In order to solve this formula we must use the following formula of kinematics.

\(x=(v_{o} *t)+(\frac{1}{2} )*a*t^{2}\)

where:

x = distance = 50000 [m]

Vo = initial velocity = 0

a = acceleration [m/s^2]

t = time = 23 [min] = 1380 [s]

Note: the positive sign in the above equation shows that the car accelerates.

50000 = (0*1380) + (0.5*a*1380^2)

a = 0.0525 [m/s^2]

But we can calculate the acceleration using the following formula:

\(v_{f} =v_{o} +a*t\)

where:

Vf = final velocity = 67 [m/s]

67 = 0 + (a*1380)

a = 0.0485 [m/s^2]

We can see that by means of kinematics and with the given values we can find two values of accelerations, however, we can determine the average acceleration, by means of the mathematical average.

a = (0.0485 + 0.0525) / 2

a = 0.0505 [m/s^2]

Question 1:
A ball rolls down a 1.0-meter long incline from rest to 2.0 m/s. The ball has a 5.0
cm radius. Find the angular acceleration of the ball.

Question 2:
A soccer ball is rolling at 15 rev /s. It stops rolling after traveling 25.0 m.
Calculate the time it was rolling. Also find its angular acceleration. The ball has
20 cm diameter.

Answers

The angular acceleration of the ball is approximately 800 rad/s².  the angular acceleration of the soccer ball is approximately -35.89 rad/s².

Question 1:

To find the angular acceleration of the ball rolling down the incline, we can use the following formula:

v = ω * r

where:

v is the linear velocity (2.0 m/s),

ω is the angular velocity, and

r is the radius of the ball (0.05 m).

We can also use the formula to relate linear and angular acceleration:

a = α * r

where:

a is the linear acceleration,

α is the angular acceleration, and

r is the radius of the ball (0.05 m).

Given that the ball rolls down the incline from rest, the initial angular velocity (ω0) is zero.

Using the equations above, we have:

2.0 m/s = ω * 0.05 m

ω = 2.0 m/s / 0.05 m

ω = 40 rad/s

Since the initial angular velocity is zero, the change in angular velocity (Δω) is equal to the final angular velocity (ω).

Using the equation a = α * r, we can rewrite it as α = a / r:

α = ω / r

α = 40 rad/s / 0.05 m

α ≈ 800 rad/s²

Question 2:

To calculate the time the soccer ball was rolling, we can use the formula:

t = d / v

where:

t is the time,

d is the distance traveled (25.0 m), and

v is the linear velocity (circumference of the ball times the angular velocity).

The circumference of the ball (C) can be calculated using the formula:

C = π * d

where:

d is the diameter of the ball (0.20 m).

Given that the ball has a diameter of 20 cm, the circumference is:

C = π * 0.20 m

C ≈ 0.628 m

Using the formula v = C * ω, we have:

v = 0.628 m * 15 rev/s

v ≈ 9.42 m/s

Substituting the values into the equation t = d / v, we find:

t = 25.0 m / 9.42 m/s

t ≈ 2.66 s

Therefore, the soccer ball was rolling for approximately 2.66 seconds.

To find the angular acceleration, we can use the formula:

α = Δω / t

Given that the initial angular velocity (ω0) is 15 rev/s and the final angular velocity (ω) is zero, the change in angular velocity (Δω) is:

Δω = ω - ω0

Δω = 0 - 15 rev/s

Δω = -15 rev/s

Converting the change in angular velocity to radians per second (rad/s):

Δω = -15 rev/s * (2π rad/rev)

Δω = -30π rad/s

Substituting the values into the formula α = Δω / t, we find:

α = (-30π rad/s) / 2.66 s

α ≈ -35.89 rad/s²

Note that the negative sign indicates a deceleration or slowing down of the rotation.

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If the centripetal force is of the form m^a v^b r^c, find the values of a, b and c.

Answers

Answer with explanation:

If the centripetal force is of the form m^a v^b r^c, find the values of a, b and c.

Hey Motors and lamps both use...
electricity that isn't moving
electric current
Both a and b

Answers

Answer:

both

Explanation:

Both! I hope that’s right!
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