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Firstly, I have some questions on basic principle to get down(I'm hoping I got these right as to not mess up later with false knowledge, so please correct me):

**The impulse experienced by a body is equivalent to the body's change in _____?**

I had no idea what the question meant so I said force.

**A large moving ball collides with a stationary small ball. The momentum ______.**

I put down "the momentum of the large ball decreases, and the momentum of the small ball increases."

**Two objects with different masses collide and bounce back after the collision. Before the collision, the two objects were moving at velocities equal in magnitude but opposite in direction. After the collision,________.**

Well, since this is an elastic collision and both total momentum and total kinetic energy reamain constant, I said "After the collision, they both had the same momentum."

**Two skaters stand facing each other. One skater's mass is 60 kg, and the other's mass is 72 kg. If the skaters push away from each other,_______.**

I always thought that since they were pushing away from each other, mass doesn't really matter, so I said "their momentum is equal but opposite."

**In a two body collision,________.**

Not knowing what type of collison, I just said that "both momentum and kinetic energy are conserved."

Whew, that's enough of the basics(which I hope I got right), and onto the word problems!

**A bullet with a mass of 5.00 x 10**

^{3}is loaded into a gun. The loaded gun has a mass of .52 kg. The bullet is fired, causing the empty gun to recoil at a velocity of 2.1 m/s. What is the velocity of the bullet?Well, since the total momentum of the problem is constant, and the intial quantities are 0, I'm guessing the final momentum is going to equal zero.

Also, since the gun is recoiling, the gun must be going in the negative direction if I make the bullet's direction positive.

so:

m

_{1}*v

_{1},f + m

_{2}*v

_{2},f = (.005 kg *v

_{1},f) + (.52 kg * -2.1 m/s)

which would equal

.005 kg (v

_{1},f) - 1.1 kg*m/s = 0

add 1.1...

solve for v

_{1},f by dividing 1.1 kg*m/s by .005 kg.

kg cancels and I am left with the bullet having a velocity of 220 m/s.

**An object with a mass of .10 kg makes an elastic head-on collision with a stationary object with a mass of .15 kg. The final velocity of the .10 kg object after the collision is -.045 m/s. What was the initial velocity of the .10 kg object?**

Hmmm, an elastic collision. I will probably use the same conservation of momentum equation, but I am missing the final velocity of the second object.

How can I find that second velocity?