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## Homework Statement

A ballistic pendulum is a device used to measure the velocity of a projectile. The projectile is shot horizontally into and becomes embedded in the bob of a pendulum as illustrated below. The pendulum swings upward to some height h, which is measured. The mass of the bullet, m, and the mass of the pendulum bob, M, are known. Using the laws of energy and ignoring and rotational considerations, show that the initial velocity of the projectile is given by v_0=(m+M)/m*√2gh

## Homework Equations

K=1/2*m*v^2

p=mv

Momentum is conserved

U=mgh

## The Attempt at a Solution

I have been trying to manipulate equations into each other, but to no luck. I thought I had something with U+K=U+K, but it didn't simplify to that equation.

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