Home
Class 11
PHYSICS
The velocity of a moving body of mass m ...

The velocity of a moving body of mass m along positive.x axis is v`=a sqrt(x)` (a=constant). Find the work done by the force applied on the body to displace it from x=0 to x=l.

Text Solution

Verified by Experts

Power , P =Fv =mfv=mv `(dv)/(dt)`
[ acceleration of the body =`(dv)/(dt)`] So, work done,
`W=int pdt m=int vdv =(mv^2)/(2)+c=(ma^2x)/(2)+c`
[c= integration constant ]
At x=0 , W=0 `therefore c=0`
Now when `x=l , W=1/2 ma^2l`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WORK AND ENERGY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (WBJEE)|3 Videos

  • WORK AND ENERGY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (JEE Main)|8 Videos

  • WORK AND ENERGY

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Integer answer type )|1 Videos

  • WBCHSE QUESTION PAPER -2019

    CHHAYA PUBLICATION|Exercise SECTION - II ( GROUP -D)|10 Videos

Similar Questions

Explore conceptually related problems

The velocity of a moving body of mass m along positive x axis is nu = asqrtx (a= constant). Find the work done by the force applied on the body to displace it from x = 0 to x = l.

The velocity of a moving body of mass m along positive x axis is V = asqrtx (a = constant). Find the work done by the force applied on the body to displace it from x = 0 to x = 1.

A body is constrained to move along the z-axis is subject to a constant force F = (-hati+2hatj+3hatk) N . Calculate the work done by this force in moving the body a distance of 4m along the z-axis .

The velocity of a particle moving along the positive direction of x-axis is v= Asqrt(x) , where A is a positive constant. At time t = 0 , the displacement of the particle is taken as x = 0 . (i) Express velocity and acceleration as functions of time , and (ii) find out the average velocity of the particle in the period when it travels through a distance s ?

A body of mass 0.5 kg travels in a straight line with velocity v= ax^(3/2)" where "a= 5m^(1/2)s^(-1) . What is the work done by the net force during its displacement from x=0 to x= 2m?

A particle of mass 0.5 kg travels in a straigh line with a velocity v =5x^(5//2)m*s^(-1) . How much work is done by the net force during the displacement from x=0 to x=2 m ?

A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by F= -hati+2hatj+3hatk N where hati, hatj, hatk are unit vectors along the x-, y- and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4m along the z-axis?

To displace body by 50m , 150J of work is done . What is the force applied in the direction of the displacement ?

A body of mass m is moving with constant velocity V on a horizontal surface. What is the force on the table ?

A body of mass 3 kg is under a force which causes a displacement in it given by S = t^2//3 in m. Work done by the force is 2 sec

Home
Profile