Explanation Given data: Mass of the lighter skater ( m L ) is 50 kg. Mass of the heavier skater ( m H ) is 75 kg. Distance between the edges of the circular rink (diameter of the rink) is 60 m. Time taken by the heavier skater to reach the edge ( Δ t H ) is 20 s. Formula used: As the collision is purely inelastic, the momentum of the system is conserved for the given system. Write the expression for momentum of conservation for the given system. m L ( v L x ) i + m H ( v H x ) i = m L ( v L x ) f + m H ( v H x ) f (1) Here, m L is the mass of the lighter skater, m H is the mass of the heavier skater, ( v L x ) i is the initial speed of the lighter skater, ( v H x ) i is the initial speed of the heavier skater, ( v L x ) f is the final speed of the lighter skater, and ( v H x ) f is the final speed of the heavier skater. Write the expression for velocity in terms of distance and time as follows. v = Δ x Δ t (2) Here, Δ x is the distance, and Δ t is the time interval. Explanation: As both the skaters are at rest at initial state, the speed of both the skaters is 0 m s at initial. Therefore, ( v L x ) i = 0 m s , and ( v H x ) i = 0 m s . Substitute 0 m s for ( v L x ) i , and 0 m s for ( v H x ) i in equation (1), m L ( 0 m s ) + m H ( 0 m s ) = m L ( v L x ) f + m H ( v H x ) f m L ( v L x ) f + m H ( v H x ) f = 0 m L ( v L x ) f = − m H ( v H x ) f m L m H = − ( v H x ) f ( v L x ) f As both the skaters at final state (after they push each other) move in the opposite direction to each other towards the edges of the rink, one of the velocities is negative with respect to the other velocity

College Physics: A Strategic Approach (3rd Edition)

3rd Edition

ISBN: 9780321902559

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

Publisher: PEARSON

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Chapter 9, Problem 59GP

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To find: The time taken by the lighter skater to reach the edge.

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Chapter 9, Problem 58GP

Chapter 9, Problem 60GP

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Chapter 9 Solutions

College Physics: A Strategic Approach (3rd Edition)

Ch. 9 - Rank in order, from largest to smallest, the...Ch. 9 - Starting from rest, object 1 is subject to a 12 N...Ch. 9 - A 0.2 kg plastic cart and a 20 kg lead cart can...Ch. 9 - Two pucks, of mass m and 4m, lie on a frictionless...Ch. 9 - Prob. 5CQ 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 - Rank in order, from largest to smallest, the...Ch. 9 - Monica stands at the edge of a circular platform...Ch. 9 - If the earth warms significantly, the polar ice...Ch. 9 - The disks shown in Figure Qg.181 have equal mass....Ch. 9 - Curling is a sport played with 20 kg stones that...Ch. 9 - Two balls are hung from cords. The first ball, of...Ch. 9 - Figure Q9.21 shows two blocks sliding on a...Ch. 9 - Two friends are sitting in a stationary canoe. 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A 2.0 kg object is moving to the right with a...Ch. 9 - A 60 g tennis ball with an initial speed of 32 m/s...Ch. 9 - A child is sliding on a sled at 1.5 m/s to the...Ch. 9 - An ice hockey puck slides along the ice at 12 m/s....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 - A small, 100 g cart is moving at 1.20 m/s on a...Ch. 9 - A man standing on very slick ice fires a rifle...Ch. 9 - A 2.7 kg block of wood sits on a frictionless...Ch. 9 - A strong man is compressing a lightweight spring...Ch. 9 - A 10,000 kg railroad car is rolling at 2.00 m/s...Ch. 9 - A 5000 kg t rain car, with its top open, is...Ch. 9 - A 55 kg hunter, standing on frictionless ice,...Ch. 9 - A 9.5 kg dog takes a nap in a canoe and wakes up...Ch. 9 - Prob. 21P Ch. 9 - A 71 kg baseball player jumps straight up to catch...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 - At a wild-west show, a marksman fires a bullet at...Ch. 9 - A 20 g ball of clay traveling east at 3.0 m/s...Ch. 9 - Two particles collide and bounce apart. Figure...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 - What is the angular momentum of the moon around...Ch. 9 - A little girl is going on the merry-go-round for...Ch. 9 - What is the angular momentum about the axle of the...Ch. 9 - What is the angular momentum about the axle of the...Ch. 9 - Divers change their body position in midair while...Ch. 9 - Prob. 37P Ch. 9 - What is the impulse on a 3.0 kg particle that...Ch. 9 - A 600 g air-track glider collides with a spring at...Ch. 9 - Far in space, where gravity is negligible, a 425...Ch. 9 - A 200 g ball is dropped from a height of 2.0 m,...Ch. 9 - A 200 g ball is dropped from a height of 2.0 m and...Ch. 9 - Figure P9.43 is a graph of the force exerted by...Ch. 9 - A sled slides along a horizontal surface for which...Ch. 9 - A 140 g baseball is moving horizontally to the...Ch. 9 - Squids rely on jet propulsion, a versatile...Ch. 9 - The flowers of the bunchberry plant open with...Ch. 9 - a. With what speed are pollen grains ejected from...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 - James and Sarah stand on a stationary cart with...Ch. 9 - Ethan, whose mass is 80 kg, stands at one end of a...Ch. 9 - A small cart rolls freely along the floor. As it...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. 59GP 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 - Two 500 g blocks of wood are 2.0 m apart on a...Ch. 9 - A 495 kg cannon fires a 10.0 kg cannonball with a...Ch. 9 - Laura, whose mass is 35 kg, jumps horizontally off...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 - Figure P9.70 shows a collision between three balls...Ch. 9 - The carbon isotope 14C is used for carbon dating...Ch. 9 - A 1.0-m-long massless rod is pivoted at one end...Ch. 9 - A 200 g puck revolves in a circle on a...Ch. 9 - Figure P9.74 shows a 100 g puck revolving at 100...Ch. 9 - A 2.0 kg, 20-cm-diameter turntable rotates at 100...Ch. 9 - Joey, from Example 9.10, stands at rest at the...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. 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