JEE Main20257 Apr 2025Morning ShiftPhysicsWork, Power and EnergyActual
An object of mass 1000 g experiences a time dependent force F = (2 t i +3 t^2 j ) N . The power generated by the force at time t is :
Options
- A(2 t^2+3 t^3 ) W
- B(2 t^2+18 t^3 ) W
- C(3 t^3+5 t^5 ) W
- D(2 t^3+3 t^5 ) W
Correct answer
D. (2 t^3+3 t^5 ) W
Step-by-step solution
aligned & F =(2 t i +3 t j ) N & m =1000 gm =1 ~kg & ~F =m a , a =2 t i +3 t ^2 j & ~d v dt =2 t i +3 t ^2 j aligned v =t^2 i +t^3 j Power, P = F v aligned & P= (2 t i +3 t^2 j ) (t^2 i +t^3 j ) & P= (2 t^3+3 t^5 ) W aligned