Home
Class 11
PHYSICS
Obtainwork energy theorem of a particle ...

Obtainwork energy theorem of a particle moving in one dimension under the variable force .

A

`sqrt2 ms ^(-1)`

B

`sqrt3 ms ^(-1)`

C

`(1)/(sqrt3) ms ^(-1)`

D

`2 ms ^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D

The slope of `x to t` graph gives evlocity and slope `= tan theta`
`therefore v = tan theta`
`therefore v = tan 30 ^(@)`
`therefore v = (1)/(sqrt3) ms ^(-1)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise SECTION-F|20 Videos
  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos
  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise SECTION-D|26 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION -C)|3 Videos
  • OBJECTIVE QUESTIONS AS PER NEW PAPER STYLE

    KUMAR PRAKASHAN|Exercise CHAPTER - 8 (Match Type questions)|5 Videos

Similar Questions

Explore conceptually related problems

The distance x of a particle moving in one dimensions, under the action of a constant force is related to time t by the equation, t=sqrt(x)+3 , where x is in metres and t in seconds. Find the displacement of the particle when its velocity is zero.

The displacement x of particle moving in one dimension, under the action of a constant force is related to the time t by the equation t = sqrt(x) +3 where x is in meters and t in seconds . Find (i) The displacement of the particle when its velocity is zero , and (ii) The work done by the force in the first 6 seconds .

Obtain the equation of work by variable force in one dimension .

(x, t), (y, t) diagram of a particle moving in 2-dimensions If the particle has a mass of 500 g, find the force (direction and magnitude) acting on the particle.

Derive the work energy theorem for a variable force exerted on a body in one dimension .

Consider the following sketch of potential energy for a particle as a function of position. There are no dissipative forces or internal sources of energy. What is the minimum total mechanical energy that the particle can have if you know that it has travelled over the entire region of X shown?

The centripetal force on a particle moving in a uniform circular motion on a horizontal circle of radius r is (-sigma)/(r^(2)) , then find the mechanical energy of this particle .

The potential energy U(x) of a particle moving along x- axis is shown in figure. Which one of the following graphs represents the variation of kinetic energy of this particle if its total mechanical enery is E_(0)

The relation between position and time f for a particle , performing one dimensional motion is as under : t = sqrt(x) +3 Here x is in metre and t is in second . (1) Find the displacement of the particle when its velocity becomes zero . (2) If a constant force acts on the particle , find the work done in first 6 second .

Given in figure are examples of some potential energy functions in one dimension. The total energy of the aprticle is indicated by a cross on the ordinate axis . In each case , specify the regions ,if any , in which the particle cannot be found for the given energy .Also , indicate the minimum total energy the particle must have in each case . Think of simple physical contexts for which these potential energy shapes are relvant .

KUMAR PRAKASHAN-MOTION IN A STRAIGHT LINE -SECTION-E
  1. A car starting from position of rest, moves with constant acceleration...

    Text Solution

    |

  2. A car moving over a straight path, covers a distance d with constant s...

    Text Solution

    |

  3. Obtainwork energy theorem of a particle moving in one dimension under ...

    Text Solution

    |

  4. A particle, starting from rest, moves with constant acceleration 4 ms^...

    Text Solution

    |

  5. Displacement (in metre) of a particle varies with time (in second) is ...

    Text Solution

    |

  6. If the speed of a vehicle become 3 times for a given deceleration its ...

    Text Solution

    |

  7. The linear speed of the tip of second arm of a clock is v. The magnitu...

    Text Solution

    |

  8. A body initially at rest is moving with uniform acceleration "a". It's...

    Text Solution

    |

  9. When a driver of Shatabdi Express, running with velocity 108 km/hr, si...

    Text Solution

    |

  10. A train is moving with constant acceleration. When the ends of the tra...

    Text Solution

    |

  11. Two cars A and B are at positions 50 m and 100 m from the origin at t ...

    Text Solution

    |

  12. If velocity (in ms^(-1)) varies with time as V = 5t, find the distance...

    Text Solution

    |

  13. A bullet comes out of the barrel of gun of length 2 meter with a speed...

    Text Solution

    |

  14. A ball thrown in vertically upward direction attains maximum height of...

    Text Solution

    |

  15. A particle is subjected to a force which varies with distance as shown...

    Text Solution

    |

  16. The displacement of a particle is given by x(t) = (4t ^(2) +8) meter....

    Text Solution

    |

  17. An object is thrown in vertically upward direction. The time to reach ...

    Text Solution

    |

  18. The ratio of the distance travelled in the fourth and the third second...

    Text Solution

    |

  19. The position of a particle moving along a. straight line is given by x...

    Text Solution

    |

  20. The path length can be equal to or ........... than the displacement.

    Text Solution

    |