Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 8: Q107P (page 211)

The only force acting on a particle is conservative force F→. If the particle is at point A, the potential energy of the system associated with F→and the particle is 40 J. If the particle moves from point A to point B, the work done on the particle F→by is +25 J . What is the potential energy of the system with the particle at B?

Short Answer

Expert verified

The potential energy of the particle at B is 15 J.

Step by step solution

01

Given data:

Work done, W = 25 J

Potential energy at point A,UA=40J

02

To understand the concept:

When conservative force works on an object, the change in potential energy is negative of work done.

Formula:

The work done is equal to the change in potential energy.

Workdone = - Change in PE

03

Calculate the potential energy of the system with the particle at B:

As work done is as same as the change in potential energy. Therefore,

Workdone=-ChangeinPEW=-UB-UA25J=-UB-40J25J=-UB+40JUB-40-25J=15J

Hence, the potential energy of the system with the particle at B is 15 J .

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The spring in the muzzle of a child’s spring gun has a spring constant of 700 N/m. To shoot a ball from the gun, first, the spring is compressed and then the ball is placed on it. The gun’s trigger then releases the spring, which pushes the ball through the muzzle. The ball leaves the spring just as it leaves the outer end of the muzzle. When the gun is inclined upward by 30oto the horizontal, a 57 gball is shot to a maximum height of 1.83 mabove the gun’s muzzle. Assume air drag on the ball is negligible. (a) At what speed does the spring launch the ball? (b) Assuming that friction on the ball within the gun can be neglected, find the spring’s initial compression distance.

A1.50 kgsnowball is shot upward at an angle of34.0°to the horizontal with an initial speed of20.0 m/s.

  1. What is its initial kinetic energy?
  2. By how much does the gravitational potential energy of the snowball–Earth system change as the snowball moves from the launch point to the point of maximum height?
  3. What is that maximum height?

In Fig.8.57, a block is released from rest at height d =40 cmand slides down a frictionless ramp and onto a first plateau, which has lengthand where the coefficient of kinetic friction is 0.50. If the block is still moving, it then slides down a second frictionless ramp through height d/2and onto a lower plateau, which has length d/2and where the coefficient of kinetic friction is again0.50. If the block is still moving, it then slides up a frictionless ramp until it (momentarily) stops. Where does the block stop? If its final stop is on a plateau, state which one and give the distance Lfrom the left edge of that plateau. If the block reaches the ramp, give the height Habove the lower plateau where it momentarily stops.

Approximately 5.5×106kgof water falls 50 mover Niagara Falls each second. (a) What is the decrease in the gravitational potential energy of the water–Earth system each second? (b) If all this energy could be converted to electrical energy (it cannot be), at what rate would electrical energy be supplied? (The mass of 1 m3of water is 1000 kg.) (c) If the electrical energy were sold at 1cent/KW.h, what would be the yearly income?

A boy is initially seated on the top of a hemispherical ice mound of radius R = 13.8 m. He begins to slide down the ice, with a negligible initial speed (Figure). Approximate the ice as being frictionless. At what height does the boy lose contact with the ice?
See all solutions

Recommended explanations on Physics Textbooks

Solid State Physics

Read Explanation

Oscillations

Read Explanation

Translational Dynamics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Electromagnetism

Read Explanation

Turning Points in Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free