Home
Class 11
PHYSICS
The linear momentum p of a body moving i...

The linear momentum p of a body moving in one dimension varies with time according to the equation `p=a+bt^(2)`, where a and b are positive constants. The net force acting on the body is

A

a constant

B

proportional to `t_2`

C

inversely proportional to t

D

proportional to t

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Gravitation

    TARGET PUBLICATION|Exercise Exercise|273 Videos

  • MAGNETIC EFFECT OF ELECTRIC CURRENT

    TARGET PUBLICATION|Exercise Evaluation Test|12 Videos

Similar Questions

Explore conceptually related problems

A particle moving along the X-axis executes simple harmonic motion, then the force acting on it is given by where, A and K are positive constants.

The equation of SHM of a particle is (d^2y)/(dt^2)+ky=0 , where k is a positive constant. The time period of motion is

The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pressure, x is distance and t is time are

A body moves along a circle of radius 1 m with a constant kinetic energy 25 J. Then force acting on it is

The displacement x of a particle moving in one dimension under the action of a constant force is related to the time t by the equation t = sqrtx + 3 , where x is in metre and t is in second. The work done by the force in the first 6 second is

Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where F is force x is distance and t is time.

A body is projected horizontally from a point above the ground. The motion of the body is described by the equations x= 2t and y=5t^2 , where x and y are the horizontal and vertical displacements (in m) respectively at time t. The trajectory of the body is

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x)=beta x^(-2 n) where beta and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by

When a wave travels in a medium, the particle displacement is given by the equation y = alpha sin 2pi(bt -cx) where a, b and c are constants. The maximum particle velocity will be twice the wave velocity if

The horizontal distance x and the vertical height y of a projectile at a time t are given by x=at and y=bt^2 +ct where a, b and c are constants The magnitude of the velocity of the projectile 1 second after it is fired is

TARGET PUBLICATION-LAWS OF MOTION-EXERCISE
  1. The masses of 10 kg and 20 kg respectively are connected by a massless...

    Text Solution

    |

  2. Human heart is pumping blood with constant velocity v m "s"^(-1) at th...

    Text Solution

    |

  3. The linear momentum p of a body moving in one dimension varies with ti...

    Text Solution

    |

  4. A particle moves in the xy-plane under the action of a force F such th...

    Text Solution

    |

  5. Consider the following statement about the blocks shown in the diagram...

    Text Solution

    |

  6. Ten one-rupee coins are put on top of each other on a table. Each coi...

    Text Solution

    |

  7. A reference frame attached to the earth

    Text Solution

    |

  8. Newton's law of gravitation is universal because

    Text Solution

    |

  9. which of the following is correct order for forces?

    Text Solution

    |

  10. The CORRECT diagram for the work done is moving a body from A to B und...

    Text Solution

    |

  11. Choose the correct options A force F = (0.5x + 12) N acts on a partic...

    Text Solution

    |

  12. A labourer is carrying a stone of mass 25 kg on his head on a level ro...

    Text Solution

    |

  13. Choose the correct options A force F = (0.5x + 12) N acts on a partic...

    Text Solution

    |

  14. If the unit of length and force be increased four times, the un...

    Text Solution

    |

  15. A 1.5 kg block is initially at rest on a horizontal frictionless surfa...

    Text Solution

    |

  16. A force of 5 N, making an angle 0 with the horizontal, acting on an ob...

    Text Solution

    |

  17. The displacement x of a particle moving in one dimension under the act...

    Text Solution

    |

  18. The momentum of a system is conserved .

    Text Solution

    |

  19. A collision of two objects occurs in an inertial frame of reference A....

    Text Solution

    |

  20. Assertion: A bullet is fired from a rifle. If the rifle recoils freely...

    Text Solution

    |