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(II) A ball of mass 0.220 $\mathrm{kg}$ that is moving with a speed of 7.5 $\mathrm{m} / \mathrm{s}$ collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.8 $\mathrm{m} / \mathrm{s}$ . Calculate (a) the velocity of the target ball after the collision, and (b) the mass of the target ball.

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a) 3.7 $\mathrm{m} / \mathrm{s}$b) 0.67 $\mathrm{kg}$

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

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University of Sheffield

Lectures

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.

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In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

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Okay, so does Chapter nine. Problem 37. So we have this ball that we have called M one. Here in its mass is 10.22 kilograms, moving with the speed of 7.5 meters per second and it collides head on Elastic Lee with this another ball into that initially address, this says after the collision, the incoming balls that's n one bounces backward with the speed of 3.8 meters per second. Okay, that's all it tells us. And then part ay says calculate the velocity of the target ball which just came to after the collision. So if we use Equation 98 in the book, we can find the relationship between the velocities. So that tells us be born. I'll sp two people's negative. Be one prime minus for to crime. Okay. And since B to initially is her, this one is just zero. You know that so immediately we confined you to prime, which is what we want to find. So for that is the one plus do you want So that is 7 45 meters per second. By this 3.8 meters a second or 3.7 meters per second has to practice on now. Part B says we want to find the mass of the second in two. Well, we can write out based on moment conservation. That and one B one is the initial momentum equals and one B one prime plus two B two. Okay, well, immediately from this, we can just solve for what we want to find out if it's him too. So m two equals in one times we won, minus the one time Well, over the to prep. So we put that in. This is you were quick to two kilograms. Then we have 7.5 years for second, minus negative. 3.8 years per second all over 3.7 years per second. So all these ***, second and put out our answer will be in kilograms. And when we plug it in, our calculator you get into is you're a 0.67 kilograms. Oops. Also

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