Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Centre of Mass, Linear momentum, Collision
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Centre of Mass, Linear momentum, Collision
A ball falls onto an inclined plane of inclination θ from a height...
A ball falls onto an inclined plane of inclination from a height above the point of impact and undergoes a collision with coefficient of restitution . Use \theta = 45^{}^{{}^{\circ}}, and . Find the maximum height reached by the ball after the collision.
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
The speed of the ball just before impact is .
For an inclined plane, the component of velocity perpendicular to the plane is reversed and multiplied by , while the parallel component remains unchanged.
Using \theta = 45^{}^{{}^{\circ}} and , the rebound speed gives a maximum height of .
For an inclined plane, the component of velocity perpendicular to the plane is reversed and multiplied by , while the parallel component remains unchanged.
Using \theta = 45^{}^{{}^{\circ}} and , the rebound speed gives a maximum height of .