Home
Class 12
PHYSICS
A body of mass 0.5 kg travels in a strai...

A body of mass `0.5` kg 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 = 2 m ?

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

Certain force acting on a 20 kg mass changes its velocity from 5ms^(-1) to 2ms^(-1) . Calculate the work done by the force.

A ball of mass 0.5 kg thrown upwards reaches a maximum height of 5m.Calculate the work done by the force of gravity during this vertical displacement considering the value of g =10m//s^(2) .

The velocity (v) of a particle of mass m moving along x-axis is given by v=alphasqrt(x) , where alpha is a constant. Find work done by force acting on particle during its motion from x=0 to x=2m :-

A body of mass 2 kg travels according to the law x (t) = pt + qt^(2) + rt^(3) where, q = 4m s^(-2) , p - 3m s^(-1) and r = 5m s^(-3) . The force acting on the body at t = 2s is

The velocity (v) of a particle of mass m moving along x-axis is given by v=alphax , where alpha is a constant. Find work done by force acting on particle during its motion from x=0 to x=2m :-

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 to a d...

    Text Solution

    |

  3. A body of mass 0.5 kg 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 dimensional 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(x) 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

    |