Explanation Given data: The two balls are given as identical balls. Therefore, the mass of both the balls is equal. Mass of the first billiard ball ( m 1 ) is 0.28 kg. Mass of the second billiard ball ( m 2 ) is 0.28 kg. The first ball hits the stationary second ball and the first ball becomes rest after the collision. The second ball starts its movement after the collision. The initial velocity of the first ball [ ( v i ) 1 ] is 7.2 m s . The final velocity of the first ball [ ( v f ) 1 ] is 0 m s , since it becomes rest after the collision. The initial velocity of the second ball [ ( v i ) 2 ] is 0 m s . The duration of the collision ( Δ t ) is 250 μ s . Formula used: Write the expression to find magnitude of the average force ( F a v g ) on the object during the collision. F a v g = Δ p Δ t (1) Here, Δ p is the momentum of the object, and Δ t is the duration of the collision. Write the expression for change in momentum of the object in terms of velocity and mass. Δ p = m ( v f − v i ) (2) Here, m is the mass of the object, v f is the final velocity of the object, and v i is the initial velocity of the object. From the given data, the linear momentum is conserved for the given system since the external forces are absent in the system. Therefore, write the expression to find the final velocity of the second ball (immediately after the collision) as follows. ( v f ) 2 = ( 2 m 1 m 1 + m 2 ) [ ( v i ) 1 ] + ( m 2 − m 1 m 1 + m 2 ) [ ( v i ) 2 ] (3) Here, m 1 is the mass of the first billiard ball, m 2 is the mass of the second billiard ball, ( v i ) 1 is the initial velocity of the fist ball, and ( v i ) 2 is the initial velocity of the second ball. Explanation: Calculation of average force on the first ball during the collision [ ( F a v g ) 1 ] : Modify the expression in equation (1) for the average force on the first ball during the collision as follows. ( F a v g ) 1 = ( Δ p ) 1 Δ t (4) Here, ( Δ p ) 1 is the change in the momentum for the first ball. Modify the expression in equation (2) for the change in the momentum of the first ball as follows. ( Δ p ) 1 = m 1 [ ( v f ) 1 − ( v i ) 1 ] (5) Here, ( v f ) 1 is the final velocity of the first ball. From equation (5), substitute { m 1 [ ( v f ) 1 − ( v i ) 1 ] } for ( Δ p ) 1 in equation (4), ( F a v g ) 1 = m 1 [ ( v f ) 1 − ( v i ) 1 ] Δ t Substitute 0.28 kg for m 1 , 7.2 m s for ( v i ) 1 , 0 m s for ( v f ) 1 , and 250 μ s for Δ t , ( F a v g ) 1 = ( 0.28 kg ) ( 0 m s − 7.2 m s ) 250 μ s = − 2

College Physics: A Strategic Approach, Books a la Carte Edition (4th Edition)

4th Edition

ISBN: 9780134700502

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Question

Chapter 9, Problem 8P

To determine

To find: The average forces on the first ball and the second ball during the collision.

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Chapter 9, Problem 7P

Chapter 9, Problem 9P

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Chapter 9 Solutions

College Physics: A Strategic Approach, Books a la Carte Edition (4th Edition)

Ch. 9 - Prob. 1CQ Ch. 9 - Prob. 2CQ Ch. 9 - Two pucks, of mass m and 4m, lie on a frictionless...Ch. 9 - Prob. 4CQ Ch. 9 - Prob. 5CQ Ch. 9 - Prob. 6CQ Ch. 9 - Prob. 7CQ Ch. 9 - Two students stand at rest, facing each other on...Ch. 9 - A 2 kg cart rolling to the right at 3 m/s runs...Ch. 9 - Automobiles are designed with crumple zones...

Ch. 9 - You probably know that it feels better to catch a...Ch. 9 - In the early days of rocketry, some people claimed...Ch. 9 - Two ice skaters, Megan and Jason, push off from...Ch. 9 - Suppose a rubber ball and a steel ball collide....Ch. 9 - While standing still on a basketball court, you...Ch. 9 - To win a prize at the county fair, youre trying to...Ch. 9 - Monica stands at the edge of a circular platform...Ch. 9 - If the earth warms significantly, the polar ice...Ch. 9 - Prob. 21CQ Ch. 9 - Prob. 23MCQ Ch. 9 - Curling is a sport played with 20 kg stones that...Ch. 9 - Prob. 25MCQ Ch. 9 - Prob. 26MCQ Ch. 9 - Prob. 27MCQ Ch. 9 - A 4.0-m-diameter playground merry-go-round, with a...Ch. 9 - A disk rotates freely on a vertical axis with an...Ch. 9 - At what speed do a bicycle and its rider, with a...Ch. 9 - Prob. 2P Ch. 9 - A 57 g tennis ball is served at 45 m/s. If the...Ch. 9 - Prob. 4P Ch. 9 - A student throws a 120 g snowball at 7.5 m/s at...Ch. 9 - Prob. 6P Ch. 9 - Prob. 7P Ch. 9 - Prob. 8P Ch. 9 - Use the impulse-momentum theorem to find how long...Ch. 9 - Prob. 10P Ch. 9 - Prob. 11P Ch. 9 - Prob. 12P Ch. 9 - A child is sliding on a sled at 1.5 m/s to the...Ch. 9 - Prob. 14P Ch. 9 - As part of a safety investigation, two 1400 kg...Ch. 9 - In a Little League baseball game, the 145 g ball...Ch. 9 - Prob. 18P Ch. 9 - A small, 100 g cart is moving at 1.20 m/s on a...Ch. 9 - Prob. 20P Ch. 9 - A 2.7 kg block of wood sits on a frictionless...Ch. 9 - Prob. 22P Ch. 9 - A 10,000 kg railroad car is rolling at 2.00 m/s...Ch. 9 - Prob. 24P Ch. 9 - A 55 kg hunter, standing on frictionless ice,...Ch. 9 - Prob. 26P Ch. 9 - Prob. 27P Ch. 9 - Prob. 28P Ch. 9 - A 71 kg baseball player jumps straight up to catch...Ch. 9 - Prob. 30P Ch. 9 - A kid at the junior high cafeteria wants to propel...Ch. 9 - The parking brake on a 2000 kg Cadillac has...Ch. 9 - A 2.0 kg block slides along a frictionless surface...Ch. 9 - Erica (36 kg) and Danny (47 kg) are bouncing on a...Ch. 9 - A 20 g ball of clay traveling east at 3.0 m/s...Ch. 9 - Prob. 37P Ch. 9 - A 20 g ball of clay traveling east at 2.0 m/s...Ch. 9 - A firecracker in a coconut blows the coconut into...Ch. 9 - Prob. 40P Ch. 9 - Prob. 41P Ch. 9 - Divers change their body position in midair while...Ch. 9 - Prob. 43P Ch. 9 - What is the angular momentum of the moon around...Ch. 9 - Prob. 46GP Ch. 9 - Prob. 47GP Ch. 9 - Prob. 48GP Ch. 9 - Prob. 49GP Ch. 9 - Prob. 50GP Ch. 9 - Prob. 51GP Ch. 9 - A 140 g baseball is moving horizontally to the...Ch. 9 - A tennis player swings her 1000 g racket with a...Ch. 9 - A 20 g ball of clay is thrown horizontally at 30...Ch. 9 - Dan is gliding on his skateboard at 4.0 m/s. He...Ch. 9 - Ethan, whose mass is 80 kg, stands at one end of a...Ch. 9 - Three identical train cars, coupled together, are...Ch. 9 - A 110 kg linebacker running at 2.0 m/s and an 82...Ch. 9 - Most geologists believe that the dinosaurs became...Ch. 9 - Two ice skaters, with masses of 75 kg and 55 kg,...Ch. 9 - Prob. 62GP Ch. 9 - One billiard ball is shot east at 2.00 m/s. A...Ch. 9 - A 10 g bullet is fired into a 10 kg wood block...Ch. 9 - A typical raindrop is much more massive than a...Ch. 9 - A 15 g bullet is fired at 610 m/s into a 4.0 kg...Ch. 9 - Prob. 67GP Ch. 9 - Two 500 g blocks of wood are 2.0 m apart on a...Ch. 9 - A spaceship of mass 2.0 106 kg is cruising at a...Ch. 9 - At the county fair, Chris throws a 0.15 kg...Ch. 9 - Prob. 73GP Ch. 9 - The carbon isotope 14C is used for carbon dating...Ch. 9 - Prob. 75GP Ch. 9 - A 2.0 kg, 20-cm-diameter turntable rotates at 100...Ch. 9 - Prob. 77GP Ch. 9 - A 3.0-m-diameter merry-go-round with a mass of 250...Ch. 9 - Disk A, with a mass of 2.0 kg and a radius of 40...Ch. 9 - Consider a golf club hitting a golf ball. To a...Ch. 9 - Consider a golf club hitting a golf ball. To a...Ch. 9 - Consider a golf club hitting a golf ball. To a...Ch. 9 - Consider a golf club hitting a golf ball. To a...

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