NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Center of Mass, Momentum and Collision
NEET · Physics · Center of Mass, Momentum and Collision
A ball of mass 0.3 kg strikes a rigid vertical wall with a speed of...
A ball of mass strikes a rigid vertical wall with a speed of at an angle of with the surface of the wall. It rebounds with the same speed and at the same angle. The magnitude of the impulse imparted to the ball by the wall is:
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
Let the wall be along the y-axis and the normal to the wall be along the x-axis.
The angle made by the velocity vector with the surface of the wall is .
The component of velocity perpendicular to the wall is .
The component of velocity parallel to the wall is .
During the collision, the parallel component remains unchanged, while the perpendicular component reverses its direction.
Initial momentum perpendicular to the wall,
Final momentum perpendicular to the wall,
Magnitude of impulse = Change in momentum =
Impulse .
Answer:
The angle made by the velocity vector with the surface of the wall is .
The component of velocity perpendicular to the wall is .
The component of velocity parallel to the wall is .
During the collision, the parallel component remains unchanged, while the perpendicular component reverses its direction.
Initial momentum perpendicular to the wall,
Final momentum perpendicular to the wall,
Magnitude of impulse = Change in momentum =
Impulse .
Answer: