Explanation Draw the diagram for the system as shown below: This system is isolated system consisted of a block, ball, table surface and earth with conservative as well as non- conservative forces acting on it. Initial velocity of both block and the ball is zero as both are at rest so initial kinetic energy for both is zero. Write the expression for change in kinetic energy of the system. Δ K = 1 2 m v f 2 − 1 2 m v i 2 (I) Here, Δ K is change in kinetic energy, v f is final velocity, v i is initial velocity and m is mass. Write the expression for change in gravitational potential energy of the system. Δ U = m g h f − m g h i (II) Here, Δ U is change in potential energy, h i is initial height and h f is final height. As block is moving on a horizontal surface change in gravitational potential energy is zero and for ball final potential energy is also zero as it falls on the ground. Write the expression for the normal reaction force experience by the block. n = m g (III) Here, n is the normal reaction force, m is mass of the block and g is acceleration due to gravity. Write the expression for friction force. f k = μ k n Here, f k is frictional force, μ k is coefficient of friction. Substitute m g for n in above equation. f k = μ k m g (IV) Write the expression for total internal energy. Δ E int = f k d (V) Here, Δ E int total internal energy stored in the system, f k is frictional force and d is the distance by which the block moves. Substitute μ k m g for f k in equation (V). Δ E int = μ k m g d (VI) Write the expression for conservation of energy. Δ K + Δ U + Δ E int = 0 Write the expression for conservation of energy for this system Δ K 1 + Δ K 2 + Δ U 1 + Δ U 2 + Δ E int = 0 (VII) Here, Δ K 1 is change in kinetic energy of block, Δ K 2 is change in kinetic energy of ball, Δ U 1 is change in potential energy of block, Δ U 2 is change in potential energy of ball. Substitute 1 2 m 1 v f 2 − 1 2 m 1 v i 2 for Δ K 1 , 1 2 m 2 v f 2 − 1 2 m 2 v i 2 for Δ K 2 , m 2 g h f − m 2 g h i for Δ U 2 , 0 for Δ U 1 and μ k m 1 g d for Δ E int in equation (VII)

Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

9th Edition

ISBN: 9781305372337

Author: Raymond A. Serway | John W. Jewett

Publisher: Cengage Learning

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Chapter 8 Solutions

Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

Ch. 8.1 - Consider a block sliding over a horizontal surface...Ch. 8.2 - A rock of mass m is dropped to the ground from a...Ch. 8.2 - Three identical balls are thrown from the top of a...Ch. 8.3 - You are traveling along a freeway at 65 mi/h. Your...Ch. 8 - Prob. 1OQ Ch. 8 - Two children stand on a platform at the top of a...Ch. 8 - Prob. 3OQ Ch. 8 - An athlete jumping vertically on a trampoline...Ch. 8 - Prob. 5OQ Ch. 8 - In a laboratory model of cars skidding to a stop,...

Ch. 8 - Prob. 7OQ Ch. 8 - Prob. 8OQ Ch. 8 - Prob. 9OQ Ch. 8 - One person drops a ball from the top of a building...Ch. 8 - Prob. 2CQ Ch. 8 - Prob. 3CQ Ch. 8 - Prob. 4CQ Ch. 8 - Prob. 5CQ Ch. 8 - Prob. 6CQ Ch. 8 - In the general conservation of energy equation,...Ch. 8 - Prob. 8CQ Ch. 8 - A block is connected to a spring that is suspended...Ch. 8 - Prob. 10CQ Ch. 8 - Prob. 1P Ch. 8 - Prob. 2P Ch. 8 - Prob. 3P Ch. 8 - A 20.0-kg cannonball is fired from a cannon with...Ch. 8 - Prob. 5P Ch. 8 - A block of mass m = 5.00 kg is released from point...Ch. 8 - Prob. 7P Ch. 8 - Prob. 8P Ch. 8 - A light, rigid rod is 77.0 cm long. Its top end is...Ch. 8 - At 11:00 a.m, on September 7, 2001, more than one...Ch. 8 - Prob. 11P Ch. 8 - Prob. 12P Ch. 8 - A sled of mass m is given a kick on a frozen pond....Ch. 8 - A crate of mass 10.0 kg is pulled up a rough...Ch. 8 - Prob. 15P Ch. 8 - A 40.0-kg box initially at rest is pushed 5.00 m...Ch. 8 - Prob. 17P Ch. 8 - At time ti, the kinetic energy of a particle is...Ch. 8 - Prob. 19P Ch. 8 - As shown in Figure P8.10, a green bead of mass 25...Ch. 8 - Prob. 21P Ch. 8 - Prob. 22P Ch. 8 - Prob. 23P Ch. 8 - A 1.50-kg object is held 1.20 m above a relaxed...Ch. 8 - Prob. 25P Ch. 8 - An 80.0-kg skydiver jumps out of a balloon at an...Ch. 8 - Prob. 27P Ch. 8 - Prob. 28P Ch. 8 - Prob. 29P Ch. 8 - The electric motor of a model train accelerates...Ch. 8 - Prob. 31P Ch. 8 - Prob. 32P Ch. 8 - An energy-efficient lightbulb, taking in 28.0 W of...Ch. 8 - Prob. 34P Ch. 8 - Prob. 35P Ch. 8 - An older-model car accelerates from 0 to speed v...Ch. 8 - Prob. 37P Ch. 8 - Prob. 38P Ch. 8 - Prob. 39P Ch. 8 - Energy is conventionally measured in Calories as...Ch. 8 - A loaded ore car has a mass of 950 kg and rolls on...Ch. 8 - Prob. 42AP Ch. 8 - Prob. 43AP Ch. 8 - Prob. 44AP Ch. 8 - Prob. 45AP Ch. 8 - Review. As shown in Figure P8.26, a light string...Ch. 8 - Prob. 47AP Ch. 8 - Why is the following situation impossible? A...Ch. 8 - Prob. 49AP Ch. 8 - Prob. 50AP Ch. 8 - Jonathan is riding a bicycle and encounters a hill...Ch. 8 - Jonathan is riding a bicycle and encounters a hill...Ch. 8 - Consider the blockspringsurface system in part (B)...Ch. 8 - As it plows a parking lot, a snowplow pushes an...Ch. 8 - Prob. 55AP Ch. 8 - Consider the popgun in Example 8.3. Suppose the...Ch. 8 - As the driver steps on the gas pedal, a car of...Ch. 8 - Prob. 58AP Ch. 8 - A horizontal spring attached to a wall has a force...Ch. 8 - Prob. 60AP Ch. 8 - Prob. 61AP Ch. 8 - Prob. 62AP Ch. 8 - Prob. 63AP Ch. 8 - Prob. 64AP Ch. 8 - A block of mass 0.500 kg is pushed against a...Ch. 8 - Prob. 66AP Ch. 8 - Prob. 67AP Ch. 8 - A pendulum, comprising a light string of length L...Ch. 8 - Prob. 69AP Ch. 8 - Review. Why is the following situation impossible?...Ch. 8 - Prob. 71AP Ch. 8 - Prob. 72AP Ch. 8 - Prob. 73AP Ch. 8 - Prob. 74AP Ch. 8 - Prob. 75AP Ch. 8 - Prob. 76AP Ch. 8 - Prob. 77AP Ch. 8 - Prob. 78AP Ch. 8 - Prob. 79CP Ch. 8 - Starting from rest, a 64.0-kg person bungee jumps...Ch. 8 - Prob. 81CP Ch. 8 - Prob. 82CP Ch. 8 - Prob. 83CP Ch. 8 - A uniform chain of length 8.00 m initially lies...Ch. 8 - Prob. 85CP

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The speed of the ball when it has fallen.

Solution Summary: The author illustrates an isolated system consisting of a block, ball, table surface and earth with conservative as well as non- conservative forces acting on it.

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Chapter 8 Solutions