Elastic collisions are calculated with the formula of (the mass of the first body multiplied by the initial velocity of it) + (the mass of the second body multiplied with the initial velocity of it) = (the mass of the first object multiplied by the final velocity of it) + (the mass of the second object multiplied by the final velocity of it).

1. A 3000-kg truck moving with a velocity of 10 m/s hits a 1000-kg parked car. The impact causes the 1000-kg car to be set in motion at 15 m/s. Assuming that momentum is conserved during the collision, determine the velocity of the truck immediately after the collision.

2. A pool player hits the eight ball, which is initially at rest, head-on with the cue ball. Both of these balls have the same mass, and the velocity of the cue ball is initially . What are the velocities of the two balls after the collision? Assume the collision is perfectly elastic.

3. An object of mass $m_1=2 {\rm kg}$, moving with velocity $v_{i1}= 12 {\rm m/s}$, collides head-on with a stationary object whose mass is $m_2=6 {\rm kg}$. Given that the collision is elastic, what are the final velocities of the two objects. Neglect friction.

4. Two friends threw two different balls at the same time to see the cool reaction of it bouncing off. The first guy threw a tennis ball weighing 0.035 kg at a velocity of 5 m/s to 7 m/s while the second guy threw a dodge ball weighing 3.2 kg at a velocity of 4 m/s to 7 m/s. What is the collision?

5. I tossed a rock at a thrown football that was in the air. The rock was 0.053 kg with a initial velocity of 3 m/. The football weighed at 4.5 kg with a initial velocity of 7 m/s. What are their final velocities?

Elastic Collision: Math Problems