# Momentum and Conservation of Momentum Problem

1. Aug 25, 2015

### ilanmichaeli

1. The problem statement, all variables and given/known data
hello. i tried to solve for the problem, which was quite difficult for me and i'm not sure whether i approached it correctly, so if someone will help me figure it out thank you!

the problem:
1. a 2 kg firework is shot vertically, at v=50 m/s
a. what is the velocity and momentum of the firework as it reaches a height of 50 m'?
b. in the height of 50 m' the firework explodes into two equal particles. particle 1 moves horizontally in 30 m/s.
what's the horizontal velocity of particle 2 after the explosion? what's the velocity of particle 2 and it's direction.
c. what's the kinetic energy of particle 2 when it reaches the floor?

this is my answer, explaining all the steps i took:

2. Relevant equations

3. The attempt at a solution
View attachment 87789

2. Aug 25, 2015

### DEvens

It's kind of hard to read your hand writing. So I didn't check it in detail.

3. Aug 25, 2015

### ilanmichaeli

thank you, sorry.. i tried to make it as organized as i could.. the thing that was hard for me the most was to find what's the horizontal velocity and velocity for the second particle.