Home
Class 12
PHYSICS
Given the displacement of the body as x ...

Given the displacement of the body as x = (2t^4 + 5)m and mass is 2 kg. What is the increase in K.E. in one second :

A

8 J

B

16 J

C

32 J

D

64 J

Text Solution

Verified by Experts

The correct Answer is:
d

Given `x=2r^(4)+5:.(dx)/(dt)=8r^(3)implies v=8t^(3)`
`:.` Velocity after 1 second = 8m/s.
Now `K.E."1/2mv^(2)=1/2xx2xx(8)^(2)=64 J`
Promotional Banner

Topper's Solved these Questions

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-II)|67 Videos
  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-III)|5 Videos
  • WAVE OPTICS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|18 Videos

Similar Questions

Explore conceptually related problems

The momentum of a body increases by 20%. What is the percentage increase in its K.E.?

The transverse displacement of a string is given by y ( x , t ) = 0.06 sin ((2pi)/(3)) x cos ( 120 pi t) where 'x' & 'y' are 'm' and 't' is s. The length of the string is 1.5m and its mass is 3.0 xx 10^(-2) kg . Determine the tension in the string.

The momentum of a body is p. and its K.E. is E. If its momentum, becomes 2p its K.E. will be

The transverse displacement of a string is given by y ( x , t ) = 0.06 sin ((2pi)/(3)) x cos ( 120 pi t) where 'x' & 'y' are 'm' and 't' is s. The length of the string is 1.5m and its mass is 3.0 xx 10^(-2) kg . Does the function represent a travelling wave or stationary wave ?

The displacement of a particle is given by x=(t-2)^(2) where x is in meters and in seconds. The distance covered by the particle in first 4 seconds is :

The relation between time and displacement is t=alphax^(2)+betax where alpha and beta are constants. What is retardation of the body:

The transverse displacement of a string is given by y ( x , t ) = 0.06 sin ((2pi)/(3)) x cos ( 120 pi t) where 'x' & 'y' are 'm' and 't' is s. The length of the string is 1.5m and its mass is 3.0 xx 10^(-2) kg . Interpret the wave as a superposition of two waves travelling in opposite direction. What is the wavelength, frequency and speed of each wave?

The position of an object moving along x-axis is given by x=a+bt^(2) where a = 8.5 m, b = 2.5 m s^(-2) and t is measured in seconds. What is its velocity at t = 0 s and t = 2.0 s. What is the average velocity between t = 2.0 s and t = 4.0 s ?

MODERN PUBLICATION-WORK , POWER , ENERGY AND COLLISIONS-Revision Test
  1. Given the displacement of the body as x = (2t^4 + 5)m and mass is 2 kg...

    Text Solution

    |

  2. A ball is dropped from height of Im. If coefficient of restituion betw...

    Text Solution

    |

  3. A metal ball hits a wall and does not rebound, where as  b a rubber ba...

    Text Solution

    |

  4. The velocity of a body of mass 2.5 kg is changed from vecVi =(3hati-4h...

    Text Solution

    |

  5. The value of 1 Mev is equal to :

    Text Solution

    |

  6. A particle is projected vertically upwards with a velocity given by V=...

    Text Solution

    |

  7. A spring of constant 5xx10^(3) N/m is stretched initially by 5 cm from...

    Text Solution

    |

  8. Consider the following two statements. a. Linear momentum of a sys...

    Text Solution

    |

  9. A body of volume V and dinsity p is raised through height h in a liqiu...

    Text Solution

    |

  10. A child is swinging a swing. He is one metre above the ground at the l...

    Text Solution

    |

  11. A canon shell explodes in mid air, its total

    Text Solution

    |

  12. A body at rest may have :

    Text Solution

    |

  13. A car is moving along a straight horizontal road with a speed V. If th...

    Text Solution

    |

  14. If a body of mass m moving with velocity v collides with another body ...

    Text Solution

    |

  15. A ball is projected vertically upward with an initial velocity. Which ...

    Text Solution

    |

  16. A motor with an efficiency of 90% drives a pump, whose efficiency is 6...

    Text Solution

    |

  17. A lorry and a car moving with the same kinetic energy are bought to re...

    Text Solution

    |

  18. The power of motor pump is 2 KW. The water raised by the pump per minu...

    Text Solution

    |

  19. The energy required to accelerate a car from rest to 10 ms^(-1) is W. ...

    Text Solution

    |

  20. A man weighing 60 kg lifts a body of 15 kg to a top of building 10 m h...

    Text Solution

    |

  21. A sphere of mass M moving with velocity w collides elastically with an...

    Text Solution

    |