Explanation Consider both George and gorilla hangs from some certain height and swing towards each other. George swings towards gorilla converting gravitational potential energy to kinetic energy. Write the expression for the conservation of energy of George. U 1 = K 1 (I) Here, U 1 is the initial potential energy and K 1 is the final kinetic energy. Write the expression for the initial potential energy. U 1 = m g h Here, m is the mass of George, g is the acceleration due to gravity and h is the height. Write the expression for the final kinetic energy. K 1 = 1 2 m v 1 2 Here, v 1 is the velocity of George. Substitute m g h for U 1 and 1 2 m v 2 for K 1 in equation (I). m g h = 1 2 m v 1 2 Solve the above equation for v 1 . v 1 = 2 g h (II) Gorilla swings towards George converting potential energy to kinetic energy. Write the expression for the conservation of energy of Gorilla. U 2 = K 2 (III) Here, U 2 is the initial potential energy and K 2 is the final kinetic energy of gorilla. Write the expression for the initial potential energy of gorilla. U 2 = m g h Here m is the mass of gorilla, g is the acceleration due to gravity and h is the height. Write the expression for the final kinetic energy. K 2 = 1 2 m v 2 2 Here, v 2 is the velocity of Gorilla. Substitute m g h for U i and 1 2 m v 2 for K 2 in equation (I). m g h = 1 2 m v 2 2 Solve the above equation for v 2 . v 2 = 2 g h (IV) After the collision, both gorilla and George sticks together. Write the expression for the conservation of momentum in perfectly inelastic collision. m v 1 + M v 2 = ( m + M ) v f Here, v f is the final velocity after collision. Substitute ( − 2 g h ) for v 1 and 2 g h for v 2 in the above equation and solve for v f . v f = ( M − m m + M ) 2 g h (V) After the collision kinetic energy is converted to potential energy

Physics for Scientists and Engineers With Modern Physics

9th Edition

ISBN: 9781133953982

Author: SERWAY, Raymond A./

Publisher: Cengage Learning

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Chapter 9, Problem 85AP

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Physics for Scientists and Engineers With Modern Physics

Ch. 9.1 - Two objects have equal kinetic energies. How do...Ch. 9.1 - Your physical education teacher throws a baseball...Ch. 9.3 - Two objects are at rest on a frictionless surface....Ch. 9.3 - Rank an automobile dashboard, seat belt, and air...Ch. 9.4 - Prob. 9.5QQ Ch. 9.4 - A table-tennis ball is thrown at a stationary...Ch. 9.6 - A baseball bat of uniform density is cut at the...Ch. 9.7 - A cruise ship is moving at constant speed through...Ch. 9 - Prob. 1OQ Ch. 9 - Prob. 2OQ

Ch. 9 - Prob. 3OQ Ch. 9 - Prob. 4OQ Ch. 9 - Prob. 5OQ Ch. 9 - Prob. 6OQ Ch. 9 - The momentum of an object is increased by a factor...Ch. 9 - The kinetic energy of an object is increased by a...Ch. 9 - If two particles have equal momenta, are their...Ch. 9 - Prob. 10OQ Ch. 9 - Prob. 11OQ Ch. 9 - Two particles of different mass start from rest....Ch. 9 - Prob. 13OQ Ch. 9 - A basketball is tossed up into the air, falls...Ch. 9 - Prob. 15OQ Ch. 9 - Prob. 16OQ Ch. 9 - Prob. 17OQ Ch. 9 - Prob. 18OQ Ch. 9 - Prob. 1CQ Ch. 9 - Prob. 2CQ Ch. 9 - Prob. 3CQ Ch. 9 - While in motion, a pitched baseball carries...Ch. 9 - You are standing perfectly still and then take a...Ch. 9 - Prob. 6CQ Ch. 9 - Two students hold a large bed sheet vertically...Ch. 9 - A juggler juggles three balls in a continuous...Ch. 9 - Prob. 9CQ Ch. 9 - Does a larger net force exerted on an object...Ch. 9 - Does a larger net force always produce a larger...Ch. 9 - A bomb, initially at rest, explodes into several...Ch. 9 - A particle of mass m moves with momentum of...Ch. 9 - Prob. 2P Ch. 9 - Prob. 3P Ch. 9 - A 3.00-kg particle has a velocity of...Ch. 9 - A baseball approaches home plate at a speed of...Ch. 9 - Prob. 6P Ch. 9 - Prob. 7P Ch. 9 - A 65.0-kg boy and his 40.0-kg sister, both wearing...Ch. 9 - Prob. 9P Ch. 9 - When you jump straight up as high as you can, what...Ch. 9 - Two blocks of masses m and 3m are placed on a...Ch. 9 - Prob. 12P Ch. 9 - An estimated forcetime curve for a baseball struck...Ch. 9 - Prob. 14P Ch. 9 - A glider of mass m is free to slide along a...Ch. 9 - Prob. 16P Ch. 9 - The front 1.20 m of a 1 400-kg car Ls designed as...Ch. 9 - A tennis player receives a shot with the ball...Ch. 9 - The magnitude of the net force exerted in the x...Ch. 9 - Prob. 20P Ch. 9 - Water falls without splashing at a rate of 0.250...Ch. 9 - A 1 200-kg car traveling initially at vCi = 25.0...Ch. 9 - Prob. 23P Ch. 9 - A car of mass m moving at a speed v1 collides and...Ch. 9 - A railroad car of mass 2.50 104 kg is moving with...Ch. 9 - Prob. 26P Ch. 9 - Prob. 27P Ch. 9 - A 7.00-g bullet, when fired from a gun into a...Ch. 9 - A tennis ball of mass 57.0 g is held just above a...Ch. 9 - Prob. 30P Ch. 9 - Prob. 31P Ch. 9 - Prob. 32P Ch. 9 - Prob. 33P Ch. 9 - (a) Three carts of masses m1 = 4.00 kg, m2 = 10.0...Ch. 9 - Prob. 35P Ch. 9 - Prob. 36P Ch. 9 - Prob. 37P Ch. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - Prob. 39P Ch. 9 - A proton, moving with a velocity of vii, collides...Ch. 9 - Prob. 41P Ch. 9 - A 90.0-kg fullback running east with a speed of...Ch. 9 - Prob. 43P Ch. 9 - Prob. 44P Ch. 9 - Prob. 45P Ch. 9 - Prob. 46P Ch. 9 - Explorers in the jungle find an ancient monument...Ch. 9 - A uniform piece of sheet metal is shaped as shown...Ch. 9 - A rod of length 30.0 cm has linear density (mass...Ch. 9 - Prob. 50P Ch. 9 - Prob. 51P Ch. 9 - Consider a system of two particles in the xy...Ch. 9 - Prob. 53P Ch. 9 - The vector position of a 3.50-g particle moving in...Ch. 9 - Prob. 55P Ch. 9 - Prob. 56P Ch. 9 - Prob. 57P Ch. 9 - Prob. 58P Ch. 9 - Prob. 59P Ch. 9 - Prob. 60P Ch. 9 - A garden hose is held as shown in Figure P9.32....Ch. 9 - Prob. 62P Ch. 9 - Prob. 63P Ch. 9 - A rocket has total mass Mi = 360 kg, including...Ch. 9 - A ball of mass m is thrown straight up into the...Ch. 9 - Prob. 66AP Ch. 9 - A 3.00-kg steel ball strikes a wall with a speed...Ch. 9 - (a) Figure P9.36 shows three points in the...Ch. 9 - Review. A 60.0-kg person running at an initial...Ch. 9 - A cannon is rigidly attached to a carriage, which...Ch. 9 - A 1.25-kg wooden block rests on a table over a...Ch. 9 - A wooden block of mass M rests on a table over a...Ch. 9 - Prob. 73AP Ch. 9 - Prob. 74AP Ch. 9 - Two gliders are set in motion on a horizontal air...Ch. 9 - Why is the following situation impossible? An...Ch. 9 - Prob. 77AP Ch. 9 - Prob. 78AP Ch. 9 - Prob. 79AP Ch. 9 - A small block of mass m1 = 0.500 kg is released...Ch. 9 - Review. A bullet of mass m = 8.00 g is fired into...Ch. 9 - Review. A bullet of mass m is fired into a block...Ch. 9 - A 0.500-kg sphere moving with a velocity expressed...Ch. 9 - Prob. 84AP Ch. 9 - Prob. 85AP Ch. 9 - Prob. 86AP Ch. 9 - Review. A light spring of force constant 3.85 N/m...Ch. 9 - Prob. 88AP Ch. 9 - Prob. 89AP Ch. 9 - Prob. 90AP Ch. 9 - Prob. 91AP Ch. 9 - Prob. 92CP Ch. 9 - Prob. 93CP Ch. 9 - Sand from a stationary hopper falls onto a moving...Ch. 9 - On a horizontal air track, a glider of mass m...Ch. 9 - Prob. 96CP

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Solution Summary: The author explains the value of the ratio of mM and the expression for the conservation of energy of George.

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