Explanation Given data: Refer to the Figure P9.51 in the textbook for the graph of the force exerted by the floor on a woman. The woman makes the vertical jump due to the force exerted by the floor on the woman. Formula used: Write the expression for impulse delivered to an object in terms of change in momentum. J = Δ p (1) Here, Δ p is the change in momentum. Write the expression for change in momentum as follows. Δ p = m Δ v (2) Here, m is the mass of the object, and Δ v is the change in velocity of the object. Write the expression for impulse in terms of force and time duration as follows. J = F avg Δ t (3) Here, F avg is the average force, and Δ t is the time duration. Write the expression for force of the object due to its weight as follows. F = m g (4) Here, m is the mass of the object, and g is the acceleration due to gravity, which is 9.8 m s 2 . Write the expression to find the area of the right angle triangle as follows. A = 1 2 b h (5) Here, b is the base of the triangle, and h is the height of the triangle. Explanation: Calculation of mass of the woman: From the given figure, from 0 to 0.2 s, the force exerted by the floor on the woman is constant. As the force is constant, the woman does not have any acceleration. Therefore, the force from 0 to 0.2 s is only due to her weight. From the graph, the force exerted by the floor from 0 to 0.2 s is 600 N. Rewrite the expression in equation (4) to find the mass of the woman as follows. m = F g Substitute 600 N for F , and 9.8 m s 2 for g , m = 600 N 9.8 m s 2 = 600 kg ⋅ m s 2 9.8 m s 2 { ∵ 1 kg ⋅ m s 2 = 1 N } = 61.2244 kg From the given Figure, at the time of 0.5 s, the force of the floor on the woman is 0 N. The force in the given graph is not the net force since the upward force of the floor is not only the force of the woman. As the weight of the woman is 600 N, the floor exerts a gravitational force of 600 N on the woman. Therefore, the graph for the net force on the woman versus time is the same graph as given in the figure with the force of 600 N lower on the force axis after 0.475 s. From the analysis, redraw the graph as shown in Figure 1. From equation (3), the impulse is the area under the curve of force versus time graph. Find out the area under each curve for the impulse force. Calculation of area under the big triangle: From Figure 1, find the base (time duration) as follows. b big = 0.475 s − 0.2 s = 0.275 s From Figure 1, the height (force) is 1800 N. Modify the expression in equation (5) to find the area under the big triangle as follows. A big = 1 2 b big h big Substitute 0.275 s for b big , and 1800 N for h big , A big = 1 2 ( 0.275 s ) ( 1 , 800 N ) = 1 2 ( 0.275 s ) ( 1 , 800 kg ⋅ m s 2 ) = 247

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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Question

Chapter 9, Problem 51GP

To determine

To find: The speed of the woman when she leaves from the ground.

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Chapter 9, Problem 50GP

Chapter 9, Problem 53GP

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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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