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Suppose we are looking at a collision of two masses in 1D. The masses are m1...

Suppose we are looking at a collision of two masses in 1D. The masses are m1 and m2, their initial velocities are V10 and V20 and their final velocities are v1 and v2. Momentum is conserved in this collision which means that it should be possible to express v2 in terms of v1 and other constants.

a) determine the final speeds of m1 and m2 in terms of v1 and other constants

b) determine the initial and final kinetic energies of the system in terms of v1 and the constants. What constraints do your answers place on the values of the constants?

c) determine an expression for the loss of kinetic energy during the collision in terms of v1 and the constants

d) determine the values of v1 and v2 when the lost KE is maximum

e) determine the values of v1 and v2 if no KE is lost

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