Home
Class 11
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

`x ge 9`

B

`-3 le x le 3`

C

`0 le x le 9`

D

`-oo lt x lt oo`

Text Solution

Verified by Experts

The correct Answer is:
2

As`" "K= (1)/(2) mv^(2) ge 0 ` so ` 9-x^(2) ge 0 rArr -3 le x le 3`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos
  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-II AIPMT/NEET & AIIMS (2006- 2018)|6 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

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