In this question, I only need help with B and C. Even though it mentions a simul

Question

In this question, I only need help with B and C. Even though it mentions a simulation, it is not important to see the simulation to solve the problem.. Thank you!

In the simulation above 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? ___2________

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

Initial total momentum = Mv - 2Mv = -Mv = 12 Initial total KE = 0.5 Mv^2 + Mv^2 = 1.5 Mv^2 = 54 Mv^2 = 54/1.5 = 36 v=36/12= 3 M = 12/3 = 4

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