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1. There is a midair collision between a rock of mass m1 (4 kg) that just...

1. There is a midair collision between a rock of mass m1 (4 kg) that just started travelling down vertically (-y direction) under gravity, and another rock of mass m2 (2 kg) travelling horizontally (x direction) with speed of 1 (m/s). The 4 kg mass has zero velocity at the time of collision, and just after collision, both rocks have velocities greater than zero only along the x axis.

a. What is the x component of the velocity of the CM after collision?

b. If the collision becomes inelastic because the rocks get stuck together, the CM of the system (and thus both rocks) will travel with the same velocity in the x direction just after collision, as calculated in part (f) above, because there is no external force acting on the system in the x direction. Hence find the kinetic energy of the system before and after the collision, and determine the energy loss in the inelastic collision.

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