00:01
Alright, so let's say a bullet made of lead has a mass of 15 .7 grams and it's fired at a velocity of, let's see, 500 meters per second.
00:13
And it strikes a block of ice that has a mass of 6 kilograms and the ice is at a temperature of 0 degrees celsius.
00:21
The bullet is at a temperature of 47 degrees celsius.
00:26
So part a asks, how fast is the block moving after the bullet is embedded? so we can compute this using the conservation of momentum.
00:34
Let's call this v, or u, excuse me.
00:37
Then the combined momentum of the system after the collision is going to be the sum of the masses times the velocity.
00:43
So v is going to be m u over m plus little m.
00:48
And if we calculate that, this is 1 .3 meters per second.
00:54
And then we want to find how much ice melts afterwards.
00:57
So we're assuming all the additional kinetic energy that was lost is in the form of heat...