Home
Class 12
PHYSICS
A wedge of mass M and angle alpha rests ...

A wedge of mass M and angle `alpha` rests on a smooth horizontal plane. A smooth sphere of mass m strickes it in a direction perpendicular to its inclined face and rebounds. If the coefficient of restitution is e, find the ratio of the speed of the sphere just before and just after the impact.

Text Solution

Verified by Experts

The correct Answer is:
`(M+m sin^(2)alpha)/(eM-m sin^(2)alpha)`
Promotional Banner

Topper's Solved these Questions

  • COLLISION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I|45 Videos
  • COLLISION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I (ASSERTION REASONING TYPE)|2 Videos
  • COLLISION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level - I (Numerical)|8 Videos
  • AC CIRCUITS

    FIITJEE|Exercise ASSERTION REASONING TYPE|1 Videos
  • CURRENT ELECTRICITY

    FIITJEE|Exercise Comprehension -4|3 Videos

Similar Questions

Explore conceptually related problems

A sphere of mass m moving with a uniform velocity v hits another identical sphere at rest. If the coefficient of restitution is e, the ratio of the velocities of the two sphere after the collision is (e-1)/(e+1) .

One sphere collides with another sphere of same mass at rest inelastically. If the value of coefficient of restitution is 1/2, the ratio of their speeds after collision shall be-

A sphere of mass m moving with a constant velocity hits another stationary sphere of the same mass, if e is the coefficient of restitution, then ratio of speed of the first sphere to the speed of the second sphere after collision will be

A particle of mass m moving with speed u hits a wedge of mass M as shown in figure. If coefficient of restitution is e and friciton can be neglected, then find the speed of the wedge with respect to ground just after the collision.

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.

A ball is projected in a direction inclined to the vertical and bounces on a smooth horizontal plane. The range of one rebound is R . If the coefficient of restitution is e , then range of the next rebound is

A particle of mass m strikes on ground with angle of incidence 45^(@) . If coefficient of restitution, e=(1)/(sqrt(2)) , find the velociy after impact and angle of reflection.

A ball of mass M strikes another smooth ball of mass m at rest. If they separate in mutually perpendicular directions, then the coefficient of impact (e) is :

FIITJEE-COLLISION -ASSIGNMENT PROBLEMS (SUBJECTIVE) Level - II
  1. A ball is dropped from a height h on a inclined plane, ball collides e...

    Text Solution

    |

  2. A simple pendulum of length l and mass m is hinged at point A in a ver...

    Text Solution

    |

  3. A block of mass M, with a semicircular track of radius R rest on a hor...

    Text Solution

    |

  4. Find the centre of mass of a thin, uniform disc of radius R from which...

    Text Solution

    |

  5. A block A of mass m is lying on a rough horizontal surface. Another bl...

    Text Solution

    |

  6. A particle of mass 0.01 kg moving horizontally with velocity 20 m/s st...

    Text Solution

    |

  7. Two identical blocks A and B of mass M each are kept on each other on ...

    Text Solution

    |

  8. A ball of mass m is projected vertically up from a smooth horizontal f...

    Text Solution

    |

  9. A wedge of mass M and angle alpha rests on a smooth horizontal plane. ...

    Text Solution

    |

  10. Two identical beads each of mass 'm' can slide freely on a ring of mas...

    Text Solution

    |

  11. A block of mass 200 g is suspended by a vertical spring. The spring is...

    Text Solution

    |

  12. A body of mass M (figure) with a small disc of mass m placed on it res...

    Text Solution

    |

  13. A particle of mass m moves with velocity u(1)=20m//s towards a wall th...

    Text Solution

    |

  14. A block of mass M with a semi circular track of radius R, rests on a h...

    Text Solution

    |

  15. A U shaped rod is kept stationary with plane vertical. A washer of mas...

    Text Solution

    |

  16. Find the loss of KE of the two particles of mass m(1)=3 kg & m(2)=6 kg...

    Text Solution

    |

  17. A uniform chain of mass m and length l hangs on a thread and touches t...

    Text Solution

    |