Home
Class 12
PHYSICS
The kinetic energy of a particle of mass...

The kinetic energy of a particle of mass m moving with speed v is given by `K=(1)/(2)mv^(2)`. If the kinetic energy of a particle moving along x-axis varies with x as `K(x)=9-x^(2)`, then The region in which particle lies is :

A

`xge9`

B

`-3lexxle3`

C

`0lexxle9`

D

`-ooltxxltoo`

Text Solution

Verified by Experts

The correct Answer is:
B
As `K=(1)/(2)mv^(2)ge0` so `9-x^(2)ge0rArr-3lexxle3`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Kinetic energy of a particle moving in a straight line varies with time t as K = 4t^(2) . The force acting on the particle

The kinetic energy passessed by a body of mass m moving with a velocity v is equal to (1)/(2)mv^(2) , provided

The potential energy U(x) of a particle moving along x - axis is given by U(x)=ax-bx^(2) . Find the equilibrium position of particle.

The displacement of a particle moving along x-axis is given by : x = a + bt + ct^2 The acceleration of the particle is.

The kinetic energy K of a particle moving along x - axis varies its position (x) as shown in figure. The magnitude of force acting on particle at x = 9m is

The kinetic energy K of a particle moving along x - axis varies with its position (x) as shown in figure The magnitude of force acting on particle at x = 9 mis

The kinetic energy K of a particle moving along a circle of radius R depends upon the distance s as K=as^2 . The force acting on the particle is

The potential energy of a particle of mass 1 kg moving along x-axis given by U(x)=[(x^(2))/(2)-x]J . If total mechanical speed (in m/s):-

The kinetic energy K of a particle moving along a circle of radius R depends on the distance covered a as K=as^(2) . The force acting on the particle is

ALLEN-BASIC MATHS-EXERCISE-2
  1. If 3 cos theta+4 sin theta=A sin (theta+alpha), then values of A and a...

    Text Solution

    |

  2. A particle moves along the straight line y=3x+5. Which coordinate chan...

    Text Solution

    |

  3. The kinetic energy of a particle of mass m moving with speed v is give...

    Text Solution

    |

  4. If tan theta=(1)/sqrt(5) and theta lies in the first quadrant, the val...

    Text Solution

    |

  5. Two particle A and B are moving in XY-plane. Their positions vary with...

    Text Solution

    |

  6. A particle straight line passes through orgin and a point whose abscis...

    Text Solution

    |

  7. If velocity of a particle is given by v=(2t+3)m//s. Then average veloc...

    Text Solution

    |

  8. Magnitude of slope of the shown graph.

    Text Solution

    |

  9. The side of a square is increasing at ther rate of 0.2 cm//s. The rate...

    Text Solution

    |

  10. The angle made by the vector vecA=2hati+3hatj with Y-axis is

    Text Solution

    |

  11. Which one of the following statement is false:

    Text Solution

    |

  12. In vector diagram shown in figure where (vecR) is the resultant of vec...

    Text Solution

    |

  13. If hatn is a unit vector in the direction of the vector vecA, then:-

    Text Solution

    |

  14. Two vectors vecA and vecB lie in a plane, another vector vecC lies out...

    Text Solution

    |

  15. The resultant of vecA and vecB makes an angle alpha with vecA and beta...

    Text Solution

    |

  16. Vector vecP angle alpha,beta and gamma with the x,y and z axes respect...

    Text Solution

    |

  17. The direction cosines of a vector hati+hatj+sqrt(2) hatk are:-

    Text Solution

    |

  18. Two vectors vecA and vecB are such that vecA+vecB=vecC and A^(2)+B^(2)...

    Text Solution

    |

  19. A vector perpendicular to (4hati-3hatj) may be :

    Text Solution

    |

  20. Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati...

    Text Solution

    |