Explanation Write the expression for the horizontal speed of the boy. v = d t (I) Here, d is the distance travelled by the boy in horizontal direction, v is the speed of the boy in horizontal direction and t is the time taken. Write the expression to find distance travelled when object is moving vertically. h = u t + 1 2 g t 2 Here, h is the height when the boy starts moving vertically, u is the initial speed in vertical direction, g is the acceleration due to gravityand t is the time required. Since, the initial speed in vertical direction at point above h height from ground is zero. Substitute 0 m/s 2 for u in above equation. h = ( 0 m/s 2 ) t + 1 2 g t 2 = 1 2 g t 2 Rearrange the above equation. h = 1 2 g t 2 t 2 = 2 h g Simplify the above equation. t = 2 h g Substitute 2 h g for t in equation (I). v = d t = d 2 h g Simplify the above expression. v = d g 2 h (II) Consider the boy as an isolated system and consider that total nonconservative force is negligible on the system. Write the expression for work energy theorem for the system Δ U + Δ K = 0 (III) Here, Δ U is change in potential energy, and Δ K is the change in kinetic energy. Write the expression for change in potential energy Δ U = U f − U i Here, Δ U is the change in potential energy, U f is final potential energy and U i is the initial potential energy. Write the expression for change in kinetic energy Δ K = K f − K i Here, Δ K is the change in kinetic energy, K f is the final kinetic energy and K i is the initial kinetic energy

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

9th Edition

ISBN: 9781305932302

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 8, Problem 45AP

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The initial height of the boy above the ground.

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Chapter 8, Problem 44AP

Chapter 8, Problem 46AP

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Chapter 8 Solutions

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

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 initial height of the boy above the ground.

Solution Summary: The author writes the expression for the horizontal speed of the boy. h=ut+12gt2.

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Chapter 8 Solutions