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Professional Application A professional boxer hits his opponent with a $1000-\mathrm{N}$ horizontal blow that lasts for 0.150 $\mathrm{s}$ . (a) Calculate the impulse imparted by this blow, (b) What is the opponent's final velocity, if his mass is 105 $\mathrm{kg}$ and he is motionless in midair when struck near his center of mass? (c) Calculate the recoil velocity of the opponent's 10.0 -kg head if hit in this manner, assuming the head does not initially transfer significant momentum to the boxer's body. (d) Discuss the implications of your answers for parts (b) and (c).

$\text { a) } 150 \mathrm { N } - \mathrm { sec } : \mathrm { b } \text { ) } 1.428 \mathrm { m } / \mathrm { s } : \mathrm { c } ) 15 \mathrm { m } / \mathrm { s } ,$ d) see explanation

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Simon Fraser University

Hope College

University of Sheffield

University of Winnipeg

Lectures

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this problem was given a force of 1000 mutants on a time of 0.15 seconds. And we want to know what the opponent's final velocity is if the force is applied to the center of Mess, which is 105 pilgrims. So using the impulse is our course changes, son, which is also equal to our changing momentum, which could be written as mass times change of velocity, but and our initial velocity decreasing to zero that our force, street science, divided by mass, will give me my part of velocity. So that's 1000 you put one by seconds. Mission calculate that value, which is our impulse report being gives me an impulse 150 seconds in the report be we wanted to sell for that kind of loss. So that impulse divided by the maps give me a final velocity. So 100 and 50 divided by that mass of 105 kilograms hits me a front of loss of 1.43 meters per second. And so this is if the force was applied to the center mass Now the force would be instead of fights ahead and sentence instead of the center. Then we can say it's what you experienced similar force or similar impulse 150 decade's. But instead of the massive applied to that 105 children's, it's going to be a fight to the head, which is only 10 kilograms. And if that's true, then we're going to get E steed of the head of 15 years per second, which is significantly bigger. Then be velocity. It would apply to the center of Mets, so that would be incredibly acres for

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