Home
Class 12
PHYSICS
A body of mass 'm' has its position x at...

A body of mass 'm' has its position x at a time t given by `x = 3t^(3//2) + 2t - 1//2`. The instantaneous force acting is proportional to :

A

`t^(3//2)`

B

t

C

`t^(-1//2)`

D

`t^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|7 Videos
  • HEAT AND THERMODYNAMICS

    MODERN PUBLICATION|Exercise Recent Competitve Questions|17 Videos
  • MAGNETOSTATICS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|5 Videos

Similar Questions

Explore conceptually related problems

Under the action of a constant force, a 2 kg body moves such that its position along X-axis is given by x=(t^(2))/(3) where x is in metres and in seconds and x is function time. The work done in 2 sec is:

A body of mass m, accelerates uniformly from rest to v_(1) in time t_(1) . The instantaneous power delivered to the body as a function of time is :

A particle moves along a straight line such that its displacement at any time t is given by x =t^3-6t^2 +3t +4 in m. The velocity when acceleration is zero is

The position x of a particle varies with time t as x = at^(2) -bt^(3) . For what value of time acceleration is zero?

The distance moved by the particle in time t is given by x=t^(3)-12t^(2)+6t+8 At the instant when its acceleration is zero, the velocity is

At time t = Os a particle starts moving along the x-direction. If its kinetic energy increases uniformly with time Y', the net force acting on it must be proportional to :

The acceleration of a moving particle whose space time equation is given by s=3t^(2)+2t-5 is :

The distance s feet travelled by a particle in time t seconds is given by s = t^(3) - 6 t^(2) - 4t - 8 . Its acceleration vanishes at time t =

MODERN PUBLICATION-LAWS OF MOTION-Revision test
  1. A long horizontal rod has a bead which can slide along its length, and...

    Text Solution

    |

  2. A cart is moving with a velocity 20 m/s. Sand is being dropped into th...

    Text Solution

    |

  3. The mass of block A is 100 kg and that of block B is 200 kg. The coeff...

    Text Solution

    |

  4. A body of weight 64 N' is pushed with justs enough force to start it m...

    Text Solution

    |

  5. The resultant of two forces, one double the other in magnitude, is per...

    Text Solution

    |

  6. A cylinder rolls up an inclined plane, reaches some height, and then r...

    Text Solution

    |

  7. A block of weight 200 N is pulled along a rough hori zontal surface at...

    Text Solution

    |

  8. A force vecF = 6t^(2)hat i +4thatj is acting on a particle of mass 3 k...

    Text Solution

    |

  9. A 10 kg box is placed on a surface. Coefficient of friction between su...

    Text Solution

    |

  10. A boat is travelling on a river with a speed of 3m/sec. The force on t...

    Text Solution

    |

  11. A constant force acts on a body of mass 0.9 kg at rest for 10s. If the...

    Text Solution

    |

  12. A rope of length 5m, is kept on frictionless surface and a force of 5N...

    Text Solution

    |

  13. A rocket of mass 5000 kg is to be projected vertically.The gases are e...

    Text Solution

    |

  14. In the above question, if the rocket is to be launched with accelerati...

    Text Solution

    |

  15. The ratio of the weight of the man in stationary lift and in a life ac...

    Text Solution

    |

  16. A particle moves so that it acceleration is always twice its velocity....

    Text Solution

    |

  17. A block of wood is kept on the floor of a stationary lift.The lift beg...

    Text Solution

    |

  18. Two Trolleys of masses m and 3m are connected by a spring. They are co...

    Text Solution

    |

  19. A body of mass 'm' has its position x at a time t given by x = 3t^(3//...

    Text Solution

    |

  20. An insect crawls a rough hemispherical surface. The coefficient of fri...

    Text Solution

    |