Home
Class 12
PHYSICS
At time t = Os a particle starts moving ...

At time t = Os a particle starts moving along the x-direction. If its kinetic energy increases uniformly with time Y', the net force acting on it must be proportional to :

A

constant

B

t'

C

`(1)/(sqrt(t))`

D

`sqrt(t)`

Text Solution

Verified by Experts

The correct Answer is:
c
As `K.E. prop t`,then
`1/2mv^2 prop t` or `1/2mv^2=kt`, where .k. is a constant.
If p = mv is the linear momentum of the body,then `(p^2)/(2m)=kt` or `p=sqrt(2mk)xxt^(1/2)`or `F=(dp)/(dt)=sqrt(2mk)xx1/2xxt^(1/2)` or `F prop (1)/(sqrtt)`.
Promotional Banner

Topper's Solved these Questions

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|8 Videos

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Revision Test|40 Videos

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-II)|67 Videos

  • WAVE OPTICS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|18 Videos

Similar Questions

Explore conceptually related problems

A particle located at x = 0 at time t=0 starts moving along positive x-direction with velocity v that varies as v = asqrt(x) . The displacement of the particle varies with time as :

One end of a string of length 'l' is connected to a particle of mass m and the other to a small peg on a smooth horizontal table . If the particle moves in a circle with speed 'v', the net force on the particle (directed towards the centre ) is :(T is the tension in the string ).

A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to :

A particle of mass 5 kg is moving along a circular path of radius 1 m. It is making 300 rp., uniformly. Its kinetic energy would be:

The speed time graph of a particle moving along a fixed direction is as shown in the figure. Obtain the distance travelled by the particle from, (a) t = 0 to 10s (b) t= 2s to 6s (c) What is the average speed of the particle over the intervals in (a) and (b)?

One end of a string of length l is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v the net force on the particle (directed towards the centre) is : (i) T, (ii) T - (mv^2)/(l) , (iii) T + (mv^2)/(l) , (iv) 0 T is the tension in the string. [Choose the correct alternative].