Home
Class 11
PHYSICS
A solid uniform sphere, with radius R = ...

A solid uniform sphere, with radius R = 0.2 m and mass M=50kg,is at rest in an inertial reference frame in deep space. A bullet with mass w = 20 gm and a velocity v= 400 m/s strikes the sphere along the line shownin figufe-5.137, and rapidly comes to rest within the sphere at point P. Determine the subsequent motion of the sphere and the embedded bullet.

Text Solution

Verified by Experts

The correct Answer is:
`"["v=0.16 m//s, omega=1.0 rad//sec"]"`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise MCQ|16 Videos
  • NEWTONS LAWS OF MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problem|81 Videos
  • WORK, ENERGY AND POWER

    PHYSICS GALAXY - ASHISH ARORA|Exercise unsolved|1 Videos

Similar Questions

Explore conceptually related problems

A sphere of radius 0.10 m and mass 10 kg rests in the corner formed by a 30^(@) inclined plane and a smooth vertical wall. Choose the correct option

A circular hoop of mass m and radius R rests flat on a horizontal frictionless surface A bullet also of mass m and moving with a velocity v strikes the hoop and gets embedded in it the thickness of the hoop is much smaller then R the angular velocity with which the system rotates after the bullet strikes the hoop is

A circular wooden hoop of mass m and radius R rests fiat on a frictionless surface. A bullet, also of mass m and moving with a velocity v , strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R . Find the angular velocity with which the system rotates in after the bullet strikes the hoop.

A solid sphere of radius r and mass m rotates about an axis passing through its centre with angular velocity omega . Its K.E . Is

A uniform solid sphere of mass m and radius r = 3m is projected along a rough horizontal surface with the initial velocity v_(0) = 6m//s and angular omega_(0) velocity as shown in the figure. If the sphere finally comes to complete rest then angular velocity is x rad/s. Find x.

A hollow sphere of mass 'm' and radius R rests on a smooth horizontal surface. A simple pendulum having string of length R and bob of mass m hangs from top most point of the sphere as shown. A bullet of mass 'm' and velocity 'v' partially penetrates the left side of the sphere and stick to it. The velocity of the sphere just after collision with bullet is .

A bullet of mass 0.1Kg moves with velocity 10 m/s it strikes a block and comes to rest after travels 0.5 m inside block. Find retardation of bullet

PHYSICS GALAXY - ASHISH ARORA-RIGID BODIES AND ROTATIONAL MOTION-Unsolved Numerical
  1. A particle is projected at time t=0 from a point P on the ground with ...

    Text Solution

    |

  2. What is the angular momentum of the seconds hand on a clock about an a...

    Text Solution

    |

  3. A solid uniform sphere, with radius R = 0.2 m and mass M=50kg,is at re...

    Text Solution

    |

  4. In a spring gun, a spring of force constant 200N/mis compressed 0.15 m...

    Text Solution

    |

  5. A diver makes 2.5 revolutions on the way from a 10-m-high platform to ...

    Text Solution

    |

  6. (a) Compute the torque developed by an automotive engine whose output ...

    Text Solution

    |

  7. A stick of length l lies on horizontal table. It has a mass M and is f...

    Text Solution

    |

  8. A small steel sphere of mass m and radius r rolls without slipping on ...

    Text Solution

    |

  9. The carbide tips of the cutting teeth of a circulars aware 9.2 cm from...

    Text Solution

    |

  10. A uniform rod ofmassm and length / rests on a smooth horizontal surfac...

    Text Solution

    |

  11. A smooth uniform rod AB of mass M and length l rotates freely with an ...

    Text Solution

    |

  12. The fly wheel of a large motorin a factory has mass 30kg and moment of...

    Text Solution

    |

  13. Figure-5.139 shows three identical kiting spools at rest on a rough ho...

    Text Solution

    |

  14. A closed system consists of two particles of masses m1 and m2 which mo...

    Text Solution

    |

  15. Two uniform thin rods A and B of length 0.6 m each and of masses 0.01 ...

    Text Solution

    |

  16. A insect of mass m stands on a horizontal disc platform of moment of i...

    Text Solution

    |

  17. A uniform rod AB of mass M is placed in contact. with a second rod BC ...

    Text Solution

    |

  18. A uniform thin rod of mass m and length L is standing vertically along...

    Text Solution

    |

  19. A carpet of mass M is rolled along its length so as to from a cylinder...

    Text Solution

    |

  20. A small sphere of radius R is held against the inner surface of larger...

    Text Solution

    |