Home
Class 11
PHYSICS
A body of mass 2 kg is thrown up vertica...

A body of mass `2 kg` is thrown up vertically with kinetic energy of `490 J`. If `g = 9.8m//s^(2)`, the height at which the kinetic energy of the body becomes half of the original value, is

A

50 m

B

12.5 m

C

25 m

D

10 m

Text Solution

Verified by Experts

The correct Answer is:
B

Let h is that height at which the kinetic energy of the body becomes half its original value i.e. half of its kinetic energy will convert into potential energy
`therefore mgh = (490)/(2)rArr 2xx9.8xx h=(490)/(2)rArr h = 12.5 m`.
Promotional Banner

Topper's Solved these Questions

  • WORK , ENERGY , POWER AND COLLISION

    ERRORLESS |Exercise Ordinary Thinking (Objective Questions) (Power)|31 Videos
  • WORK , ENERGY , POWER AND COLLISION

    ERRORLESS |Exercise Ordinary Thinking (Objective Questions) (Elastic and Inelastic Collision)|68 Videos
  • WORK , ENERGY , POWER AND COLLISION

    ERRORLESS |Exercise Ordinary Thinking (Objective Questions) (Work Done by Variable Force)|26 Videos
  • WAVES AND SOUND

    ERRORLESS |Exercise SET|25 Videos
  • WORK, ENERGY, POWER & COLLISION

    ERRORLESS |Exercise Assertion|30 Videos

Similar Questions

Explore conceptually related problems

A body of mass 5 kg is thrown vertically up with a kinetic energy of 490 J. What will be height at which the kinetic energy of the body becomes half of the original value ? (Acceleration due to gravity =9.8ms^(-2) )

A stone of 3kg is thrown vertically upward with an initial speed of 20m/s. If g=10 m//s^(2) , then find the kinetic energy and potential energy after 1s.

Kinetic energy of a body decreases with the increase in mass.

What is the kinetic energy of a body of mass 1 kg moving with a speed of 2 m/s ?

A body of mass 2 kg is thrown vertically upwards with K.E of 245 J. The acceleration due to gravity is 9.8 ms^(-2) . The K.E. Of the body will become half at the height of

The kinetic energy of a body of mass 3 kg and momentum 2 Ns is

The kinetic energy of a body of mass 4 kg and momentum 6 N-s will be

ERRORLESS -WORK , ENERGY , POWER AND COLLISION-Ordinary Thinking (Objective Questions) (Conservation of Energy and Momentum)
  1. A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg . Th...

    Text Solution

    |

  2. A bullet loses 1//20th of its velocity is passing through a plank. Wh...

    Text Solution

    |

  3. A body of mass 2 kg is thrown up vertically with kinetic energy of 490...

    Text Solution

    |

  4. Two masses of 1 gm and 4 gm are moving with equal kinetic energies. T...

    Text Solution

    |

  5. If the K.E. of a body is increased by 300%, its momentum will increase...

    Text Solution

    |

  6. A light body and a heavy body have same kinetic energy. Which one has ...

    Text Solution

    |

  7. If linear momentum if increased by 50% then kinetic energy will be inc...

    Text Solution

    |

  8. A free body of mass 8 kg is travelling at 2 mater per second in a stra...

    Text Solution

    |

  9. If the K.E. of a particle is doubled, then its momentum will

    Text Solution

    |

  10. If the stone is thrown up vertically and return to ground, its potenti...

    Text Solution

    |

  11. A body of mass 2 kg is projected vertically upward with a velocity of ...

    Text Solution

    |

  12. The energy stored in wound watch spring is

    Text Solution

    |

  13. Two bodies of different masses m(1) and m(2) have equal momenta. Their...

    Text Solution

    |

  14. A car travelling at a speed of 30 km/hour is brought to a halt in 8 m ...

    Text Solution

    |

  15. Tripling the speed of the motor car multiplies the distance needed for...

    Text Solution

    |

  16. If the kinetic energy of a body increases by 0.1 % the percent increas...

    Text Solution

    |

  17. If velocity of a body is twice of previous velocity, then kinetic ener...

    Text Solution

    |

  18. Two bodies A and B having masses in the ratio of 3 : 1 possess the sam...

    Text Solution

    |

  19. In which case does the potential energy decrease ?

    Text Solution

    |

  20. A shere of mass m , moving with velocity V, enters a hanging bag of sa...

    Text Solution

    |