∙Rescue. Your friend (mass 65.0 kg ) is standing on the ice in the middle of a frozen pond. Ther

Name: Problem 83, Chapter 7: College Physics
Uploaded: 2020-03-01T11:39:48-08:00
Duration: 4 min 15 s
Channel: Surjit Tewari

step 1 Problem number 83. In this problem, it is given that a person is standing on the ice and there i

Question

$\bullet$ Rescue. Your friend (mass 65.0 $\mathrm{kg}$ ) is standing on the ice in the middle of a frozen pond. There is very little friction between her feet and the ice, so she is unable to walk. Fortu- nately, a light rope is tied around her waist and you stand on the bank holding the other end. You pull on the rope for 3.00 s and accelerate your friend from rest to a speed of 6.00 $\mathrm{m} / \mathrm{s}$ while you remain at rest. What is the average power supplied by the force you applied?

   $\bullet$ Rescue. Your friend (mass 65.0 $\mathrm{kg}$ ) is standing on the ice in
the middle of a frozen pond. There is very little friction
between her feet and the ice, so she is unable to walk. Fortu-
nately, a light rope is tied around her waist and you stand on
the bank holding the other end. You pull on the rope for 3.00 s
and accelerate your friend from rest to a speed of 6.00 $\mathrm{m} / \mathrm{s}$
while you remain at rest. What is the average power supplied
by the force you applied?

College Physics

Hugh D. Young 9th Edition

Chapter 7, Problem 83

Instant Answer

Solved by Expert Surjit Tewari

03/01/2020

Step 1

We can use the equation of motion $v = u + at$, where $v$ is the final velocity, $u$ is the initial velocity, $a$ is the acceleration, and $t$ is the time. Given that the initial velocity $u$ is 0 (since the person is initially at rest), the final velocity $v$ is Show more…

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$\bullet$ Rescue. Your friend (mass 65.0 $\mathrm{kg}$ ) is standing on the ice in the middle of a frozen pond. There is very little friction between her feet and the ice, so she is unable to walk. Fortu- nately, a light rope is tied around her waist and you stand on the bank holding the other end. You pull on the rope for 3.00 s and accelerate your friend from rest to a speed of 6.00 $\mathrm{m} / \mathrm{s}$ while you remain at rest. What is the average power supplied by the force you applied?

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Key Concepts

Work-Energy Theorem

This principle states that the work done on an object is equal to the change in its kinetic energy. It connects the force applied over a distance to the resulting increase in the object's energy, making it fundamental in analyzing scenarios where forces cause changes in motion.

Kinetic Energy

Kinetic energy is the energy an object has due to its motion, calculated using the formula KE = 1/2 m v². Understanding kinetic energy is crucial for determining how much work is needed to accelerate an object from rest to a given speed.

Power

Power is the rate at which work is done or energy is transferred. It is defined as the work done divided by the time over which the work is performed, making it essential for evaluating how quickly energy is delivered in a process.

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