Two carts of masses 2kg and 3kg respectively are initially at rest on a frictionless track. The carts are pushed towards each other from opposite directions. Upon collision, they stick together and move together after the collision.
a. Determine the total momentum of the system before the collision.
b. Calculate the velocity of the system after the collision.
c. Find the change in kinetic energy of the system due to the collision.
Two billiard balls of equal mass ) collide in a two-dimensional scenario. Ball A is initially moving to the right at 2(m)/(s), while Ball B is initially moving upwards at 3(m)/(s). After the collision, Ball A moves upwards at an angle of 30 degrees to the left of its original direction at a speed of 1(m)/(s), while Ball B moves to the right at an angle of 60 degrees downwards from the horizontal at a speed of 2(m)/(s). Assume the collision is perfectly elastic.
a. Determine the magnitude and direction of the velocity of Ball A after the collision.
b. Calculate the magnitude and direction of the velocity of Ball B after the collision.
c. Calculate the total kinetic energy of the system before and after the collision.
d. Using momentum conservation, verify whether the total momentum of the system is conserved before and after the collision.
1. Two carts of masses 2 kg and 3 kg respectively are initially at rest on a frictionless track.The carts are pushed towards each other from opposite directions.Upon collision,they stick together and move together after the collision.
a. Determine the total momentum of the system before the collision
b.Calculate the velocity of the system after the collision. c. Find the change in kinetic energy of the system due to the collision.
2. Two billiard balls of equal mass (0.2 kg) collide in a two-dimensional scenario. Ball A is initially moving to the right at 2 m/s, while Ball B is initially moving upwards at 3 m/s. After the collision,Ball A moves upwards at an angle of 3o degrees to the left of its original direction at a speed of 1 m/s,while Ball B moves to the right at an angle of 60degrees
downwards from the horizontal at a speed of 2 m/s.Assume the collision is perfectly elastic
a. Determine the magnitude and direction of the velocity of Ball A after the collision b. Calculate the magnitude and direction of the velocity of Ball B after the collision.
C. Calculate the total kinetic energy of the system before and after the collision.
d. Using momentum conservation,verify whether the total momentum of the system is conserved before and after the collision