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Ball 1 has a mass M and Ball 2 has a mass n M, where n is an integer. Ball 1 has

ID: 1973974 • Letter: B

Question

Ball 1 has a mass M and Ball 2 has a mass nM, where n is an integer. Ball 1 has an initial velocity of v and ball 2 has an initial velocity of -v. Two collisions are carried out with these same initial conditions.

First, the balls undergo a completely inelastic collision (elasticity = 0) where the velocity of both balls after the collision is -0.333 v.

(a) What is the value of n, the ratio of the mass of ball 2 to the mass of ball 1? ________________

The same initial conditions are set up but this time the collision is elastic (elasticity = 1). The total kinetic energy both before and after the collision is 54.00 J and the total momentum both before and after the collision is -12.00 kg m/s.

(b) What is M, the mass of ball 1? ________________kg

(c) What is v, the speed of ball 1 before the collision?________________ m/s

Explanation / Answer

Mv - nMv = -0.333v(n+1)M => n = 2

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