Explanation Given data: A ball hits the wall an initial speed of 32 m s and rebounds with the same speed due to the force of the wall on the ball during the collision. Mass of the ball ( m ) is 60 g, which is 0.06 Kg. The initial velocity of the ball ( v i ) is 32 m s . The final velocity of the ball ( v f ) is 32 m s (since it rebounds with the same speed). Refer to the Figure P9.11 in the textbook for the force curve of the wall on the ball during the collision. Formula used: Write the expression for impulse from impulse-momentum theorem. J → = p → f − p → i (1) Here, p → f is the final momentum of the particle, and p → i is the final momentum of the particle. Write the expression for momentum of the particle in terms of velocity and mass. p → = m v → (2) Here, m is the mass of the particle, and v → is the velocity of the particle. Write the expression to find area of the triangle. A triangle = 1 2 b h (3) Here, b is the base of the triangle, and h is the height of the triangle. Write the expression to find area of the rectangle. A rectangle = l b (4) Here, l is the length of the rectangle, and b is the breadth of the rectangle. Explanation: Modify the expression in equation (1) with the use of equation (2) as follows. J → = m v → f − m v → i (5) From the figure in the textbook, the impulse force of the wall is the area under the force curve. Therefore the impulse force J → is determined by finding the area under the force curve. The force curve is a triangle for 0 to 2 ms of time period, rectangle for 2 to 4 ms of time period, triangle for 4 to 6 ms of time period. Calculation of impulse force for 0 to 2 ms in the curve: Consider the area of the curve for the time period 0 to 2 ms as J → 1 . The area in the given force curve for 0 to 2 ms of time period is a triangle with base 2 ms and height of F max . Substitute J → 1 for A triangle , 2 ms for b and F max for h in equation (3), J → 1 = 1 2 ( 2 ms ) ( F max ) = 1 2 ( 2 × 10 − 3 s ) ( F max ) = ( 0.001 s ) F max Calculation of impulse force for 2 to 4 ms in the curve: Consider the area of the curve for the time period 2 to 4 ms as J → 2 . The area in the given force curve for 2 to 4 ms of time period is a rectangle with a length of 2 ms ( which is, 4 ms − 2 ms ) and breadth of F max . Substitute J → 2 for A rectangle , 2 ms for l and F max for b in equation (4), J → 2 = ( 2 ms ) ( F max ) = ( 2 × 10 − 3 s ) ( F max ) = ( 0.002 s ) F max Calculation of impulse force for 4 to 6 ms in the curve: Consider the area of the curve for the time period 4 to 6 ms as J → 3 . The area in the given force curve for 4 to 6 ms of time period is a triangle with base of 2 ms ( which is, 6 ms − 4 ms ) and height of F max . Substitute J → 3 for A triangle , 2 ms for b and F max for h in equation (3), J → 3 = 1 2 ( 2 ms ) ( F max ) = 1 2 ( 2 × 10 − 3 s ) ( F max ) = ( 0

4th Edition

ISBN: 9780137574728

Author: Knight

Publisher: PEARSON

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Question

Chapter 9, Problem 11P

To determine

To find: The maximum value of the contact force during the collision.

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Chapter 9 Solutions

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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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