Home
Class 12
PHYSICS
A particle of mass 0.5kg travels in a st...

A particle of mass `0.5kg` travels in a straight line with velocity `v=ax^(3//2)` where `a=5m^(-1//2)s^-1`. What is the work done by the net force during its displacement from `x=0` to `x=2m`?

A

`1.5J`

B

`50J`

C

`10J`

D

`100j`

Text Solution

Verified by Experts

The correct Answer is:
B
`v=5x^(3//2)`
`W_(n et)=(1)/(2)mv^(2)=(1)/(2)(0.5)(25x^(3))`
`(1)/(2)xx(1)/(2)xx25xx8=50J`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A body of mass 0.5 kg travels in a straight line with velocity v= kx^(3//2) where k=5m^(-1//2)s^(-1) . The work done by the net force during its displacement from x=0 to x=2 m is

A body of mass 0.5 kg travels in a straight line with velocity v =a x^(3//2) where a = 5 m//s^(2) . The work done by the net force during its displacement from x = 0 to x = 2 m is

A particle of mass 0.5kg travels in a straight line with a velocity v=(5x^(5//2))m//s . How much work is done by the net force during the displacement from x=0 to x=2m ?

A body of mass 0.5 kg travels in a straight line with velocity v=5x^(3//2) . The work done by the net force during its displacement from x=0 to x=2 m is

A particle of mass 2kg travels along a straight line with velocity v=asqrtx , where a is a constant. The work done by net force during the displacement of particle from x=0 to x=4m is

A particle of mass m moves on a straight line with its velocity varying with the distance traveled. Find the total work done by all the forces during a displacement x=0 to x=d if the velocity is equal to (a) v=lamdasqrtx and (b) v=lamdax is constant.

A body of mass m travels in a straight line with a velocity v = kx^(3//2) where k is a constant. The work done in displacing the body from x = 0 to x is proportional to:

A force is given by F=kx^(2) where x is in meters and k=10 N//m^(2) What is the work done by this force when it acts from x=0 to x=0.1m ?

ALLEN-TEST PAPER-Exercise (Physics)
  1. A mass m is attached to a spring. The spring is stretched to x by a fo...

    Text Solution

    |

  2. A block of mass m is pushed up against a spring, compressing it a dist...

    Text Solution

    |

  3. A particle of mass 0.5kg travels in a straight line with velocity v=ax...

    Text Solution

    |

  4. One end of a light spring of spring constant k is fixed to a wall and ...

    Text Solution

    |

  5. Select the correct alternative.

    Text Solution

    |

  6. A constant force produces maximum velocity V on the block connected to...

    Text Solution

    |

  7. A particle with total energy E moves in one dimemsional region where t...

    Text Solution

    |

  8. In the figure, block A is released from rest when the spring is its na...

    Text Solution

    |

  9. A body of mass 2.0 kg, force to travel in the x-direction, is subjecte...

    Text Solution

    |

  10. The potential energy for a force filed vecF is given by U(x,y)=cos(x+y...

    Text Solution

    |

  11. A particle of mass 5kg moving in the X-Y plane has its potential energ...

    Text Solution

    |

  12. As a particle moves along the x-axis, it is acted upon by a conservati...

    Text Solution

    |

  13. Water is flowing in a river at 2 ms^(-1). The river is 50 m wide and h...

    Text Solution

    |

  14. Which of the following statemente is / are INCORRECT? (a) Mechanical...

    Text Solution

    |

  15. Consider the following sketch of potential energy for a particle as a ...

    Text Solution

    |

  16. The potential energy of a 1 kg particle free to move along the x- axis...

    Text Solution

    |

  17. The figure below shows a graph of potential energy U(s) verses positio...

    Text Solution

    |

  18. A force F acting on a body depends on its displacement x as Fpropx^(a)...

    Text Solution

    |

  19. If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+2hat(j)+2hat(k), fi...

    Text Solution

    |

  20. An insect starts from (2,3,4) and travels along (hat(i)+2hat(j)+2hat(k...

    Text Solution

    |