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ssm A volleyball is spiked so that its incoming velocity of 4.0 m/s is changed to an outgoing velocity of 21 m/s. The mass of the volley- ball is 0.35 kg. What impulse does the player apply to the ball?

$-8.7 \mathrm{kg} . \mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 7

Impulse and Momentum

Moment, Impulse, and Collisions

Cornell University

Hope College

University of Sheffield

McMaster University

Lectures

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Okay, so in problem number four, problem number five Sorry. We are working with a volleyball that is being spiked back to an opponent and being asked what impulse the player needed to apply to the ball to create the change in velocity. So let's start with the information we were given the problem. We have the mass of the volleyball. It's 0.35 kilograms. We know the valuable has an incoming velocity or an initial velocity V I of positive for meters per second. Okay, so we're gonna keep track of our directional signs here. This case, the positive means that it's coming at the player spiking the ball so positive four meters per second. We know that the player spikes the ball so that it has an outgoing velocity or a final velocity of negative 21 meters per second. And we were asked to find the impulse. Okay, Book uses a capital J for impulse. So we're gonna find that. Okay, so we have a change in momentum here, which means we're going to use the impulse Mom, the definition of impulse equation. So impulse equals change in momentum, which, if we break that now is momentum final minus mo mentum initial. And we know that mo Mental put it down here. Just the definition of a mental equals mass times velocity. That's when you use that in our momentum. Final momentum initial so J equals mass times velocity final, minus mass times velocity initial. And in this case, the mass. The same in both of these. So we're actually gonna factor that mass out mass times the final minus the initial. Yeah, And now we're ready to substitute in our values. So impulse equals 0.35 kilograms times RV final, which was negative 21 meters per second minus RV initial, which was four meters per second. And we find that our impulse in this case equals negative eight 0.75 Newton seconds, which in this case, the negative was the direction going away from the player who hit the volleyball. So that makes sense with what we should find for impulse here.

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