Home
Class 12
PHYSICS
A force acts on a 3.0 gm particle in suc...

A force acts on a 3.0 gm particle in such a way that the position of the particle as a function of time is given by ` x=3t-4t^(2)+t^(3)`, where xx is in metres and t is in seconds. The work done during the first 4 seconds is

A

490 mJ

B

450 mJ

C

576 mJ

D

528 J

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE|Exercise Assignment (SECTION - D)|15 Videos

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B)|39 Videos

  • WAVES

    AAKASH INSTITUTE|Exercise ASSIGNMENT ( SECTION-D ( Assertion - Reason Type Questions ))|12 Videos

Similar Questions

Explore conceptually related problems

A force act on a 30 gm particle in such a way that the position of the particle as a function of time is given by x = 3 t - 4 t^(2) + t^(3) , where x is in metros and t is in seconds. The work done during the first 4 second is

A foce acts on a 30.g particle in such a way that the position of the particle as a function of time is given by x=3t-4t^(2)+t^(3) , where x is in metre and t in second. The work done during the first 4s is

The position of a Particle of Mass 4 g,acted upon by a constant force is given by x= 4t^(2) +t,where x is in metre and t in second .The work done during the first 2 seconds is

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

Under the action of a force, a 2 kg body moves such that its position x as a function of time is given by x =(t^(3))/(3) where x is in meter and t in second. The work done by the force in the first two seconds is .

The displacement of a partcle is given by x=(t-2)^(2) where x is in metre and t in second. The distance coverred by the particle in first 3 seconds is

Under the action of a force, a 1 kg body moves, such that its position x as function of time t is given by x=(t^(3))/(2). where x is in meter and t is in second. The work done by the force in fiest 3 second is

Force acting on a particle is given by F=(A-x)/(Bt) , where x is in metre and t is in seconds. The dimensions of B is -

AAKASH INSTITUTE-WORK, ENERGY AND POWER-Assignment (SECTION - C)
  1. A body constrained to move in y direction is subjected to a force give...

    Text Solution

    |

  2. A body moves a distance of 10 m along a straight line under an action ...

    Text Solution

    |

  3. A force acts on a 3.0 gm particle in such a way that the position of t...

    Text Solution

    |

  4. Two bodies of masses m and 4 m are moving with equal K.E. The ratio of...

    Text Solution

    |

  5. One kilowatt hour is equal to

    Text Solution

    |

  6. Two bodies with kinetix energies in the ratio of 4 : 1 are moving with...

    Text Solution

    |

  7. A 1 kg stationary bomb is exploded in three parts having mass 1 : 1 : ...

    Text Solution

    |

  8. If kinetic energy of a body is increased by 300%, then percentage chan...

    Text Solution

    |

  9. A stationary partical explodes into two partical of a masses m(1) and ...

    Text Solution

    |

  10. A particle of mass m1 is moving with a velocity v(1) and another parti...

    Text Solution

    |

  11. A bomb of mass 30 kg at rest explodes into two pieces of mass 18 kg ...

    Text Solution

    |

  12. A ball whose kinetic energy is E , is projected at an angle of 45(@) t...

    Text Solution

    |

  13. A body dropped from a height h with initial velocity zero, strikes the...

    Text Solution

    |

  14. A particle with total energy E is moving in a potential energy region ...

    Text Solution

    |

  15. The K.E. acquired by a mass m in travelling a certain distance d, star...

    Text Solution

    |

  16. A simple pendulum with a bob of mass m oscillates from A to C and back...

    Text Solution

    |

  17. A car moving with a speed of 40 km//h can be stopped by applying the b...

    Text Solution

    |

  18. A child is swinging a swing. Minimum and maximum heights fo swing from...

    Text Solution

    |

  19. When a long spring is stretched by 2cm, its potential energy is U. If ...

    Text Solution

    |

  20. A ball of mass2 kg and another of mass 4 kg are dropped together from ...

    Text Solution

    |