Home
Class 11
PHYSICS
A ball moving translationally collides e...

A ball moving translationally collides elastically with another, stationary, ball of the same mass. At the moment of impact the angle between the straight line passing through the centres of the balls and the direction of the initial motion of the striking ball is equal to `alpha=45^@`. Assuming the balls to be smooth, find the fraction `eta` of the kinetic energy of the striking ball that turned into potential energy at the moment of the maximum deformation.

Text Solution

Verified by Experts

The correct Answer is:
`eta=(1)/(2) cos^(2) alpha`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION, FREE BODY DIAGRAM

    NN GHOSH|Exercise Exercise (A)|27 Videos

  • KINETIC THEORY OF GASES

    NN GHOSH|Exercise All Questions|24 Videos

  • MOMENT, TORQUE, EQUILIBRIUM OF BODIES

    NN GHOSH|Exercise Exercises|33 Videos

Similar Questions

Explore conceptually related problems

A ball of mass M collides elastically with another stationary ball of mass m. If M gt m , find the maximum angle of deflection of M.

A ball of mass M moving with speed v collides perfectly inelastically with another ball of mass m at rest. The magnitude of impulse imparted to the first ball is

A ball of mass 'm', moving with uniform speed, collides elastically with another stationary ball. The incident ball will lose maximum kinetic energy when the mass of the stationary ball is

Consider an oblique elastic collision between a moving ball and a stationary ball of the same mass. Both the balls move with the same speed after the collision. After the collision, the angle between the directions of motion of two balls is x degree. Find the value of x.

A ball of mass M moving with a velocity v collides perfectly inelastically with another ball of same mass but moving with a velocity v in the opposite direction. After collision

A ball of mass m moving with a velocity v undergoes an oblique elastic collision with another ball of the same mass m but at rest. After the collision if the two balls move with the same speeds , the angle between their directions of motion will be:

Consider the situation as shown in the diagram , the ball strikes the wall normally and the collision is elastic , the change in the kinetic energy of the ball is

A ball of mass m moving with velocity v collides head on elastically with another identical ball moving with velocity - V. After collision

NN GHOSH-LAWS OF MOTION, FREE BODY DIAGRAM-Exercise (B)
  1. Calculate the accelerations of the pulleys B and C and the tension in ...

    Text Solution

    |

  2. Calculate the acceleration of the block B of the figure Fig. 5.23, ass...

    Text Solution

    |

  3. A system of masses and pulleys is arranged in a vertical plane as show...

    Text Solution

    |

  4. Two monkey of masses 10 kg and 8 kg are moving along a verticle rope a...

    Text Solution

    |

  5. A rope is stretched between two stationary boats on the surface of a l...

    Text Solution

    |

  6. A thin, uniform chain is hanging vertically and its bottom end is touc...

    Text Solution

    |

  7. A mass M attached to the end of a small flexible rope of diameter d=1 ...

    Text Solution

    |

  8. A sphere of mass m(1)collides with a sphere of mass m(2) which is at r...

    Text Solution

    |

  9. Two equal smooth sphere of radius a are moving with equal speed u in o...

    Text Solution

    |

  10. A simple pendalum is suspended from a peg on a verticle wall . The pen...

    Text Solution

    |

  11. A small metal ball falls vertically and strickes a smooth plane inclin...

    Text Solution

    |

  12. A body projected at an angle alpha to the horizontal lands at the same...

    Text Solution

    |

  13. A small body slides from a height h down a smooth plane inclined at 45...

    Text Solution

    |

  14. A ball is projected from a given point with velocity u at some angle w...

    Text Solution

    |

  15. A particle of mass 1.0g moving with velocity v1=3.0i-2.0j experiences ...

    Text Solution

    |

  16. A ball moving translationally collides elastically with another, stati...

    Text Solution

    |

  17. The masses of A,B and C in the figure (Fig. 5.24) are m(A)=4 kg, m(B)=...

    Text Solution

    |

  18. To raise a weight which is half as much again as his weight a man fast...

    Text Solution

    |

  19. A hoop of mass M and radius R is placed on an absolutely smooth level ...

    Text Solution

    |

  20. A chain of length l and mass m is lumped over the hole in a horizontal...

    Text Solution

    |