JEE Main20249 Apr 2024Morning ShiftPhysicsWork, Power and EnergyActual
A particle of mass m moves on a straight line with its velocity increasing with distance according to the equation v= x , where is a constant. The total work done by all the forces applied on the particle during its displacement from x=0 to x= d , will be :
Options
- Am 2 ^2 ~d
- Bmd 2 ^2
- C2 ~m ^2 ~d
- Dm ^2 ~d 2
Correct answer
D. m ^2 ~d 2
Step-by-step solution
aligned & v = x & at x =0: v =0 & & at x = d ; v = d & W.D = K _ f - K _ i & W.D = 1 2 ~m ( d )^2- 1 2 ~m (0)^2 & W.D = m ^2 ~d 2 aligned