(a) What law of physics governs the collision of the bullet and the block and de

Question

(a) What law of physics governs the collision of the bullet and the block and determines the velocity vblock?the law of conservation of momentum

(b) What is the relation between vbullet and vblock? (Use the following as necessary: vblock, g, m, M, and Hmvbullet = (m+M)vblock

(c) Following the collision the mass rises. What law of physics determines the height, H, to which the block (with the bullet in it) rises?

the law of conservation of energy

(d) Derive the relation that gives vbullet in terms of the quantities g, m, M, and H. (This arrangement is called a ballistic pendulum. It can be used to measure the speed of a bullet.)

I don't know how to do this last part?

Explanation / Answer

a) law of conservation of momentum

b) m*v_bullet = (M+m)*v_block

v_block = m*v_bullet/(M+m)

c) law of conservation of energy

d) (1/2)(M+m)*v_block ^2 = (M+m)*g*H

(1/2)*v_block^2 = g*H

v_block = sqrt(2*g*H)

m*v_bullet / (M+m) = sqrt(2*g*H)

v_bullet = (M+m)*sqrt(2*g*H) / m

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