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$\bullet$ Tennis, anyone? Tennis players sometimes leap into the air to return a volley. (a) If a 57 g tennis ball is traveling horizontally at 72 $\mathrm{m} / \mathrm{s}$ (which does occur), and a 61 kg tennis player leaps vertically upward and hits the ball, causing it to travel at 45 $\mathrm{m} / \mathrm{s}$ in the reverse direction, how fast will her center of mass be moving horizontally just after hitting the ball? (b) If, as is reasonable, her racket is in contact with the ball for $30.0 \mathrm{ms},$ what force does her racket exert on the ball? What force does the ball exert on the racket?

a) 0.109 $\mathrm{m} / \mathrm{s}$b) 222 $\mathrm{N}$

Physics 101 Mechanics

Chapter 8

Momentum

Physics Basics

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Cornell University

Simon Fraser University

Hope College

University of Sheffield

Lectures

03:23

In physics, mechanical energy is the sum of the kinetic and potential energies of a system.

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:52

Tennis players sometimes l…

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A $68.0-\mathrm{kg}$ tenni…

05:34

A tennis player swings her…

02:17

A tennis player can hit th…

06:28

$A$ tennis player swings h…

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Biomechanics. The mass of …

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The mass of a regulation t…

07:36

03:37

Human biomechanics. The fa…

06:15

BIO Biomechanics. The mass…

05:11

A tennis player strikes th…

0:00

A tennis ball of mass 57.0…

04:07

Tennis champion Venus Will…

09:10

Now we have a tennis player off Mass, 61 kilograms on the tennis balls, off mask 57 grams that comes towards the player at 72 meters per second. The player jumps on, hits the ball mid air and the ball goes back with velocity 45 meters per second. Now we want to find out. They will ask you with which the person is no more. The tennis player is not moving backwards. This happens because the person put hits the ball and applies force on it in the left for direction to change its velocity. And the reactionary force is on the player in the rightward direction which causes him to accelerate in the right direction and he starts moving. Now we know that there are no other external forces in the ex direction and hence the total more. Wyndham should remain a constant, which means the changing moment of must be zero, which means the change in the momentum off the ball must be some with the change in the moment off, the tennis player must be zero. And if simply find the changing. The moment I walked the ball, we find the change in the mountain off the player. No, we know that the initial moment of the ball is 57 grams. That is 57 times to impart my history. Them's the velocity 72 meters per second. But if you choose that X axis to be in the right direction, this would be a minor 72 on the final moment would be 57 times to impart my history times 45 meters per second with a positive sign because I'm sorry this would be blessed 72 and this would be minus 45 because 45 minutes isn't the left for direction in the negative exacts extraction. Now Delta P off the ball, it's simply the final minus initial momentum, which is 57 times Inbar Ministry into minus 45 minus 57 into 10 pound Ministry into 72. Now that we know this, this is 51 Baston Bar Ministry multiplied by minus 170. Not if you know this. We used this equation. We know that the change in the moment on the player which is simply the final moment off the player because initially wanted multiplayer zero is all is minus tell the people from the secret Shin here you can see in Delta P off the player is minus Delta bi off the ball. That is 117 times 51 times 10 part ministry. And we know that they finally went off. The player is his mask is or her mass 61 kilograms times the velocity. Hence the velocity is 117 times 51 on standby minus three divided by 61. It starts out to be 0.11 meter per second. Now that you know all this, we want to find out the force were given that the duration of the collision is 30,000,000 seconds which is 30 on standby minus three seconds. And we know that force is spelled a p by the daddy. And as we've seen in the previous part, Gadhafi, is this 117 51 time stamp. Our ministry You've added by time we just 30 downstream. Bar ministry. It's turns out to be 220 Newtons. No, this is the amount ofthe I'm sorry. That is a minus Sign here, which gives you minus took 200 meters. This is the amount of force to tennis player has exerted on the ball. But because of nudist her law, the same amount of force will be accepted by the ball on the tennis player and the force on the tennis player is 220 Newtons, whereas the force on the ball itself is minus stood on humans.

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