Explanation Given data: Refer to Figure P9.73 in the textbook for a collision among the three balls of clay. From the figure, the direction of the first ball is towards north (+ y -direction). Initial speed of the first ball ( v 1 y ) i is 2.0 m s in the positive y -direction (vertical direction). Mass of the firs ball ( m 1 ) is 20 g, which is written as 0.02 kg. The direction of the second ball is towards west. Initial speed of the second ball ( v 2 x ) i is ( − 3.0 ) m s in the negative x -direction. Mass of the second ( m 2 ) ball is 30 g, which is written as 0.03 kg. The direction of the third ball is towards south-east. Initial speed of the third ball is 4.0 m s in the south-east direction with an angle of 45 ° . Mass of the third ( m 3 ) ball is 40 g, which is written as 0.04 kg. Formula used: Write the expression for momentum of conservation in the x -direction (horizontal direction) for the two dimension collision. ∑ ( p x ) i = ∑ ( p x ) f (1) Here, ∑ ( p x ) i is the momentum of the particles in the x -direction before the collision, and ∑ ( p x ) f is the momentum of the particles in the x -direction after the collision. Write the expression for momentum of conservation in the y -direction (vertical direction) for the two dimension collision. ∑ ( p y ) i = ∑ ( p y ) f (2) Here, ∑ ( p y ) i is the momentum of the particles in the y -direction before the collision, and ∑ ( p y ) f is the momentum of the particles in the y -direction after the collision. Explanation: Consider the ball which moves towards north as first, towards west as second, and towards south-east as third ball. As the first ball moves towards only in positive y -direction (north) before the collision, the initial speed of the first ball in the x -direction ( v 1 x ) i is 0 m s . ( v 1 x ) i = 0 m s As the second ball moves towards only in negative x -direction before the collision, the initial speed of the second ball in the y -direction ( v 2 y ) i is 0 m s . ( v 2 y ) i = 0 m s As the third ball moves towards south-east direction, the velocity of third ball is required to divide into two components (horizontal and vertical) as follows. The horizontal component in the positive x -direction is written as follows ( v 3 x ) i = 4 cos ( 45 ° ) m s = 4 ( 1 2 ) m s = 2.8284 m s The horizontal component in the negative y -direction is written as follows ( v 3 y ) i = − 4 sin ( 45 ° ) m s = − 4 ( 1 2 ) m s = − 2.8284 m s Modify the expression in equation (1) for the horizontal momentum of the three balls in the x -direction as follows. m 1 ( v 1 x ) i + m 2 ( v 2 x ) i + m 3 ( v 3 x ) i = ( m 1 + m 2 + m 3 ) ( v x ) f (3) Here, m 1 is the mass of the first ball, m 2 is the mass of the second ball, m 3 is the mass of the third ball, ( v 1 x ) i is the initial velocity of the first ball in x -direction, ( v 2 x ) i is the initial velocity of the second ball in x -direction, ( v 3 x ) i is the initial velocity of the third ball in x -direction, and ( v x ) f is the final velocity of the blob (three balls collide and stick together) in x -direction. Rewrite the expression in equation (3) to find the speed of the blob in the x -direction as follows. ( v x ) f = m 1 ( v 1 x ) i + m 2 ( v 2 x ) i + m 3 ( v 3 x ) i m 1 + m 2 + m 3 Substitute 0.02 kg for m 1 , 0.03 kg for m 2 , 0.04 kg for m 3 , 0 m s for ( v 1 x ) i , ( − 3.0 ) m s for ( v 2 x ) i , and 2.8284 m s for ( v 3 x ) i , ( v x ) f = ( 0.02 kg ) ( 0 m s ) + ( 0.03 kg ) ( − 3.0 m s ) + ( 0.04 kg ) ( 2.8284 m s ) 0

Modified Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134724744

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

Publisher: PEARSON

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Chapter 9, Problem 73GP

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To find: The speed and direction of the resulting blob of clay.

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Chapter 9, Problem 72GP

Chapter 9, Problem 74GP

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Chapter 9 Solutions

Modified Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (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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