The particles in the figure above ( m 1 = 2.0 kg and m 2 = 3.5 kg) undergo an el

Question

The particles in the figure above (m1 = 2.0 kg and m2 = 3.5 kg) undergo an elastic collision in one dimension. Their velocities before the collision are v1i = 12 m/s and v2i = ?7.5 m/s. Find the velocities of the two particles after the collision. (Indicate the direction with the sign of your answer.)

    

The particles in the figure above (m1 = 2.0 kg and m2 = 3.5 kg) undergo an elastic collision in one dimension. Their velocities before the collision are v1i = 12 m/s and v2i = ?7.5 m/s. Find the velocities of the two particles after the collision. (Indicate the direction with the sign of your answer.)

Explanation / Answer

Initially (before collision), the total momentum, in the x direction, is

2*12 + 3.5*(-7.5) = - 2.25

Also, the total kinetic energy is

0.5*(2*12^2) + 0.5*(3.5*7.5^2) = 242.44

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