You throw a 100-g ball with 30m/s. If the ball is in your hand for 0.2s during the throw, a) calculate the impulse you deliver to it. b) Calculate the average Force that you exert on the ball.

J=3kg⁡J=3\operatorname{kg}•m/s, Favg=15NF_{avg}=15N

You throw a 100-g ball with 30m/s. If the ball is in your hand for 0.2s during the throw, a) calculate the impulse you deliver to it. b) Calculate the average Force that you exert on the ball.

guys. Let's check out this problem here. So we have a 100 gram ball that we're gonna throw. So m is equal to 0.1. We're gonna throw it over some time, a delta t of 0.2 seconds, and eventually what happens is the ball is traveling with a final speed or final velocity of 30 meters per second. That's what it means when we say we throw a 100 gram ball with 30 meters per second. Originally, the ball is at rest, which means that the initial velocity is 0. And then after some time, it's going at 30 meters per second. So let's go ahead and take a look at the different parts of the problem. In part a, we wanna calculate the impulse. So remember that's j. Remember that j has 2 different formulas. We can calculate j by using f times delta t, but j but j is also a change in momentum. So j is also equal to delta p, which is mvfinalminusvinitial. This is really just a condensed version of this equation right here. So let's take a look here. Which equation am I gonna use to solve for impulse? Well, hopefully, you guys realize that in part b, we're actually gonna ask what the force is. So because of that, I actually don't know what f is, and therefore, I can't use this equation to find impulse. Instead, I'm gonna use the change in momentum because I actually have the mass and the different velocities. I have the final velocity and the initial velocity. So I can calculate impulse this way. So j is just equal to the mass, which is 0.1 kilograms, don't forget the conversions. Our final velocity is 30, and our initial velocity was 0. So if you guys calculate this, you're gonna get 3 newton seconds. So, before we look at the answer choices, let's just go ahead and solve for part b now. In part b, we wanna calculate the average force that you're exerting on the ball. So again, that's what we wanna calculate here is f. So what happens is we actually know what j is now. We just calculated that because we just used the other equation to solve for the impulse. So we have j and we're looking for f times delta t. We're actually looking for f here, but We actually have what delta t is. It's the 0.2 seconds. So what happens is we can use now this equation to figure out what f is. So that means your j divided by your delta t is equal to your f, and it's an average force because it's acting over some change in time. So this is really my impulse, which is 3 divided by delta t, which is 0.2. So if we go ahead and take a look and we go ahead and calculate this, you're gonna get 15 newtons, and that's the answer to part b. So take a look at your answer choices, that is answer choice b there. Alright. So that's it for this one, guys. Let me know if you have any questions.

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You throw a 100-g ball with 30m/s. If the ball is in your hand for 0.2s during the throw, a) calculate the impulse you deliver to it. b) Calculate the average Force that you exert on the ball.

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