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A bumper car with mass m1 = 102 kg is moving to the right with a velocity of v1 = 4.9 m/s. A second bumper car with mass m2 = 90 kg is moving to the left with a velocity of v2 = -3.3 m/s. The two cars have an elastic collision. Assume the surface is frictionless.
What is the velocity of the center of mass of the system?
What is the initial velocity of car 1 in the center-of-mass reference frame?
What is the final velocity of car 1 in the center-of-mass reference frame?
What is the final velocity of car 1 in the ground (original) reference frame?
What is the final velocity of car 2 in the ground (original) reference frame?
In a new (inelastic) collision, the same two bumper cars with the same initial velocities now latch together as they collide.
What is the final speed of the two bumper cars after the collision?
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Mary needs to row her boat across a 100-{rm m}-wide river that is flowing to the east at a speed of 1- {rm m/s}. Mary can row the boat with a speed of 2- {rm m/s} relative to the water.
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