Elastic and inelastic collisions in one and two dimensions - Question Bank
1. In a one-dimensional elastic collision, if the incident particle has mass m1 and the target particle has mass m2, and m1 < m2, and the target is initially at rest, the final velocity of the incident particle v1' is related to its initial velocity v1 by:
2. If a ball of mass 1 kg moving at 10 m/s collides with a stationary ball of mass 3 kg and they move together, what is the kinetic energy of the system after collision?
3. Consider a system of two particles colliding. Which statement is always true if the net external force on the system is zero?
4. In a two-dimensional elastic collision, a particle of mass m moving with speed u along the x-axis strikes a stationary particle of mass M. If after collision, the first particle moves at 30 degrees and the second at 60 degrees with the x-axis, what is the ratio of masses m/M?
5. A particle of mass m moving with velocity v collides with a stationary particle of mass m. If the collision is elastic, what is the velocity of the first particle after collision?
6. What is the ratio of kinetic energy after to before collision for a perfectly elastic collision?
7. In a one-dimensional inelastic collision, the loss of kinetic energy is given by:
8. If a particle of mass m collides with a stationary particle of mass M, and M is very large compared to m (M >> m), in an elastic collision, the velocity of the lighter particle after collision is approximately:
9. In a two-dimensional collision, if the initial velocities of the particles are along the x-axis, what is conserved along the y-axis in the absence of external forces?
10. A body of mass m collides with a stationary body of mass 3m. If the collision is elastic and the first body rebounds with velocity v/2, what is the velocity of the second body after collision?
11. Which condition must be met for a collision to be considered elastic?
12. In a one-dimensional perfectly inelastic collision, the kinetic energy is lost primarily in the form of:
13. A particle of mass m moving with velocity 2î m/s collides with a stationary particle of mass 2m. If the collision is perfectly elastic and the first particle recoils with velocity -î m/s, what is the velocity of the second particle?
14. In a two-dimensional elastic collision, if the initial momentum is p, what is the magnitude of the total momentum after collision?
15. If a collision is neither perfectly elastic nor perfectly inelastic, it is called:
16. A body moving with velocity u collides inelastically with a stationary body of the same mass. What is the velocity of the system after collision?
17. In a one-dimensional collision between two identical particles, if the collision is elastic and one particle is initially at rest, what is the velocity of the second particle after collision?
18. A ball of mass m moving with velocity v strikes a wall elastically. What is the change in momentum of the ball?
19. Which principle is fundamental to analyzing collisions?
20. In a two-dimensional elastic collision, a particle A hits a stationary particle B. After collision, A moves at an angle θ with respect to its initial direction and B moves at an angle φ. What is the relationship between θ and φ?
21. What happens to the kinetic energy in a partially elastic collision?
22. A particle of mass 2 kg moving at 4 m/s collides with a stationary particle of mass 4 kg. If the collision is perfectly inelastic, what is the velocity of the system after collision?
23. In a one-dimensional elastic collision, if a heavy object strikes a light object at rest, the light object moves off with approximately:
24. A body of mass m1 moving with velocity v1 collides with a body of mass m2 moving with velocity v2. If the collision is elastic, the change in kinetic energy of the system is:
25. Which statement is true for any collision between two particles in an isolated system?
26. In a two-dimensional elastic collision, if the incident particle is stationary and the target particle moves off with velocity v, what is the velocity of the incident particle after collision?
27. What does the coefficient of restitution (e) quantify?
28. A 5 kg ball moving at 10 m/s collides with a 10 kg ball moving at -5 m/s. If the collision is perfectly inelastic, what is the velocity of the combined mass?
29. In a one-dimensional elastic collision, a particle of mass m1 moving with velocity u1 collides with a particle of mass m2 moving with velocity u2. If u1 = u2, what is the relative velocity after collision?
30. Consider a system of two particles undergoing a collision. If no external force acts on the system, the total linear momentum of the system:
31. If the relative velocity of separation is equal to the relative velocity of approach, the collision is:
32. A car of mass 1000 kg moving at 20 m/s collides with a stationary truck of mass 5000 kg. If they move together after collision, what is their common velocity?
33. In a two-dimensional inelastic collision, momentum is conserved, but kinetic energy is not. What is the relationship between their initial and final kinetic energies?
34. A particle of mass m collides with a stationary particle of mass M. If the collision is elastic and M >> m, what is the velocity of the lighter particle after collision?
35. What is the coefficient of restitution (e) for a perfectly inelastic collision?
36. What is the coefficient of restitution (e) for a perfectly elastic collision?
37. A bullet is fired into a block of wood, and they move together. This is an example of which type of collision?
38. In a one-dimensional elastic collision, if the incident particle is much lighter than the target particle, what is the approximate final velocity of the incident particle?
39. A body of mass M moving with velocity V collides with a body of mass m at rest. If the collision is perfectly inelastic, what is the velocity of the combined mass?
40. Which type of collision results in the maximum loss of kinetic energy?
41. In a two-dimensional elastic collision, a particle of mass m moving with velocity u collides with a stationary particle of mass 2m. If the first particle is deflected by 90 degrees, what is the speed of the second particle after collision?
42. During a collision, which quantity is always conserved in the absence of external forces?
43. A ball of mass 2 kg moving at 5 m/s collides head-on with a stationary ball of mass 3 kg. If the collision is perfectly elastic, what is the velocity of the 3 kg ball after collision?
44. In a one-dimensional inelastic collision, where a ball of mass m moving with velocity v collides with a stationary ball of mass 2m and they move together, what is the final velocity?
45. Consider a one-dimensional elastic collision between a moving object of mass m1 and a stationary object of mass m2. If m1 = m2, what happens to the velocities after collision?
46. If two bodies collide elastically, what is the change in their relative velocity of separation compared to their relative velocity of approach?
47. Which of the following is a characteristic of an inelastic collision?
48. In a perfectly inelastic collision, what is true about the colliding bodies after impact?
49. In a perfectly elastic collision, what is conserved?