Elastic Collisions Practice Problems
In an experiment, a block of mass 2m is released from rest down the 4.2 m high curve, as shown. The block collides with a second block of mass 3m at the bottom of the curve. Assuming a perfectly elastic collision, determine the rebound height of the 2m block.
Two cars collide with each other. Car A has a mass of 1000 kg and is moving towards car B with a velocity of 20 m/s. Car B has a mass of 800 kg and is at rest. What is the velocity of each car immediately after they collide?
We assume this is a one-dimensional collision that obeys the conservation laws of momentum and
Two marbles collide head-on in an elastic collision. Marble A has a mass of 14 g and is initially moving to the right at 2.5 m/s, while Marble B has a mass of 12 g and is initially moving to the left at 3.2 m/s. Assume that motion to the right is considered positive, and motion to the left is considered negative. What will be the final speed and direction of each marble after the collision, assuming that the collision is perfectly elastic?
An alpha particle moves at a speed of 4.50 × 10 6 m/s due north. The alpha particle collides elastically with a neon atom initially at rest. Taking the neon atom to be 5 times the mass of the alpha particle, determine the velocity (magnitude and direction) of the particles after the collision. Take the initial direction of the alpha particle as positive.
The image below shows the momenta of toys A and B before the collision, as well as the momentum of toy B after the collision. The toys separate after the collision. Determine the momentum of toy A after the collision, giving the result in unit vectors.
A 3.5 kg sphere moving at 3.2 m/s collides with a second sphere of equal mass initially at rest. The direction of the first sphere changes by 20 degrees, and its new speed is 2.5 m/s. Express the lost mechanical energy as a percentage of the system's mechanical energy before the collision.