Home
Class 11
PHYSICS
At time t=0s particle starts moving alon...

At time `t=0s` particle starts moving along the `x-` axis. If its kinetic energy increases uniformly with time `'t'`, the net force acting on it must be proportional to

A

Constant

B

t'

C

`1/(sqrt(t))`

D

`sqrt(t)`

Text Solution

Verified by Experts

The correct Answer is:
B
Kinetic energy is directly proportional to the time
`E = ct`
`1/2mv^(2) =ct`
`(P^(2))/(2m) = ct`
`P = sqrt(2ctm)`
`F = (dP)/(dt)=sqrt(2mc) 1/2 xx1/(sqrt(t))`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Objective Type Questions (JEE (Advanced) for IIT Entrance)|7 Videos

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Objective Type Questions (C. Multiple Choice Questions)|16 Videos

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Multiple Choice Questions)|46 Videos

  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

If the kinetic energy of a body is directly proportional to time t, the magnitude of the force acting on the body is

In a satellite if the time of revolution is T , then kinetic energy is proportional to

At the moment t=0 a particle starts moving along the x axis so that its velocity projection varies as v_(x)=35 cos pi t cm//s , where t is expressed in seconds. Find the distance that this particle covers during t=2.80s after the start.

Let kinetic energy of a satellite is x, then its time of revolution T is proportional to

The position (x) of a particle of mass 2 kg moving along x-axis at time t is given by x=(2t^(3)) metre. Find the work done by force acting on it in time interval t=0 to t=2 is :-

A particle is moving along the x-axis with its cordinate with time 't' given by x(t)=10+8t-3t^(2) . Another particle is moving along the y-axis with its coordinate as a FIGUREunction oFIGURE time given by y(t)= 5-8t^(2) At t=1 s, the speed oFIGURE the4 second particle as measured in the FIGURErame oFIGURE the FIGUREirst particle is given as sqrtv . Then v (in m//s) is

A particle is moving along X-axis Its acceleration at time t is proportional to its velocity at that time. The differential equation of the motion of the particle is

The position (x) of a particle of mass 1 kg moving along x-axis at time t is given by (x=(1)/(2)t^(2)) metre. Find the work done by force acting on it in time interval from t=0 to t=3 s.

The position (x) of a particle of mass 1 kg moving along X-axis at time t is given by (x=1/2 t^(2)) metre. Find the work done by force acting on it in time interval from t=0 to t=3 s .

MODERN PUBLICATION-WORK, ENERGY AND POWER -Objective Type Questions (JEE (Main) & Other State Boards for Engineering Entrance)
  1. A spherical ball of mass 20kg is stationary at the top of a hill of he...

    Text Solution

    |

  2. A force acts on a 2 kg object so that its position is given as a funct...

    Text Solution

    |

  3. At time t=0s particle starts moving along the x- axis. If its kinetic ...

    Text Solution

    |

  4. When a rubber-band is stretched by a distance x, it exerts a restoring...

    Text Solution

    |

  5. A particle of mass m moving in the x direction with speed 2v is hit by...

    Text Solution

    |

  6. A mass m moves with a velocity v and collides inelastically with anoth...

    Text Solution

    |

  7. A block of mass m=0.1 kg is connceted to a spring of unknown spring co...

    Text Solution

    |

  8. Three masses m , 2m and 3m are moving in X-Y plane with speed 3u , 2...

    Text Solution

    |

  9. The upper half of an inclined plane with inclination phi is perfectly ...

    Text Solution

    |

  10. A block of mass 'm' is connected to another block of mass 'M' by a spr...

    Text Solution

    |

  11. A mass of M kg is suspended by a weightless string. The horizontal for...

    Text Solution

    |

  12. A point particle of mass m, moves long the uniformly rough track PQR a...

    Text Solution

    |

  13. A body of mass m=10^(-2) kg is moving in a medium and experiences a f...

    Text Solution

    |

  14. A time dependent force F=6t acts on a particle of mass 1kg. If the par...

    Text Solution

    |

  15. An object is dropped from a height h from the ground . Every time it...

    Text Solution

    |

  16. A conical pendulum of length 1 m makes an angle theta = 45^(@) w.r....

    Text Solution

    |

  17. Two particles of masses M and 2M, moving as shown, with speeds of 10 m...

    Text Solution

    |

  18. A car weight W is on an inclined road that rises by 100 m over a dist...

    Text Solution

    |

  19. Velocity -time graph for a body of mass 10 kg is shown in figure. Work...

    Text Solution

    |

  20. In a collinear collision, a particle with an initial speed v0 strikes ...

    Text Solution

    |