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Professional ApplicationSuppose a child drives a bumper car head on into the side rail, which exerts a force of 4000 $\mathrm{N}$ on the car for 0.200 $\mathrm{s}$ . (a) What impulse is imparted by this force? (b) Find the final velocity of the bumper car if its initial velocity was 2.80 $\mathrm{m} / \mathrm{s}$ and the car plus driver have a mass of 200 $\mathrm{kg} .$ You may neglect friction between the car and floor.

(a) $\Delta p = 800 , \mathrm { kg } \mathrm { ms } ^ { - 1 }$(b) $v _ { \mathrm { r } } = 6.8 \mathrm { ms } ^ { - 1 }$

02:06

Shital R.

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

University of Winnipeg

Lectures

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in this question were given that A bumper car head on into a side rate, which exerts a force of 4000 neurons of the car for .2 seconds. So we need to find what impulses important by this for. So we know that impulse impulse uh Uh impulse G is given by F Daily 30. So if it's the force which eggs and the party is the time for which the 46, so 4000 times 40000.2, that's going to be uh uh 800 newtons, That's going to be 800 newtons. And then we have to we have to find Uh in part B we have to find the final velocity. So we know that impulse is nothing, but sometimes we to minus, we even where we do is the final velocity and even as the initial velocity. So we already have the impulse, which is 800, we have the mass as 200. We have the final velocity, something which we have to find an initial velocity is 2.8 m/s. So, if we divide both sides by 200, we get four over here because two times four is eight and this is equal to v two minus 2.8. So, the velocity V two comes out as four plus two points, which is nothing was 6.8 m per second. So this is the final velocity. Uh the uh the car after the collision, thank you

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