Home
Class 12
PHYSICS
Kinetic energy of a particle moving in a...

Kinetic energy of a particle moving in a straight line is proportional to the time t. The magnitude of the force acting on the particle is:

A

directly proportional to the speed of the particle

B

inversely proportional to `sqrt(t)`

C

inversely proportional to the speed of the particle

D

directly proportional to `sqrt(t)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
`1/2 mv^(2) prop t`
` rArr 1/2 mv^(2)= kt`
`:.v= sqrt((2kt)/(m))`
`:.` Acceleration `=(dv)/(dt)=sqrt((2k)/(m)).(1)/(2sqrt(1))`
`:.` (B) & (C)
Promotional Banner

Similar Questions

Explore conceptually related problems

The position of a particle moving on a straight line is proportional to the cube of the time elapsed. How does the acceleration of the particle depend on time elapsed?

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 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 displacement of a particle of mass 2kg moving in a straight line varies with times as x = (2t^(3)+2)m . Impulse of the force acting on the particle over a time interval between t = 0 and t = 1 s is

If the kinetic energy of a body is directly proportional to time t, the magnitude of the force acting on the body is

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 kinetic energy of a body moving along a straight line varies with time as shown in figure. The force acting on the body:

If average velocity of particle moving on a straight line is zero in a time interval, then

The fig. shows the displacement time graph of a particle moving on a straight line path. What is the magnitude of average velocity of the particle over 10 seconds?

Displacement time graph of a particle moving in a straight line is a shown in figure.