Question

# Mass A has an initial velocity of 53 m/s in the +x-direction. Mass B is two...

Mass A has an initial velocity of 53 m/s in the +x-direction. Mass B is two times more massive than mass A and has an initial velocity of 53 m/s in the −x-direction. If the two masses have an elastic collision, what will be the final velocities (in m/s) of the masses after the collision? (Indicate the direction with the sign of your answer.) mass A m/s mass B m/s

In an elastic collision both momentum and kinetic energy is conserved.

We assume A and B has masses m1, m2, and velocities u1, u2 before collision, v1, v2 after collision.

So according to the conservation of momentum,

According to the conservation of kinetic energy,

Solving these two equations for v1 and v2 we get,

Now putting u1 = 53 , u2 = -53 and m2 = 2m1,

We get,

So A will have a speed of 88.33m/s in the -X axis and B will have 17.66m/s in the +X axis.

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