NEET2016PhysicsWork, Power and EnergyActual
A body of mass 1   kg begins to move from rest under the action of a time dependent force F → = 2 t   i ^ + 3 t 2   j ^ N , where i ^ and j ^ are unit vectors along x and y axis. What power will be developed by the force at the time t?
Options
- A2 t 2 + 3 t 3 W
- B2 t 2 + 4 t 4 W
- C2 t 3 + 3 t 4 W
- D2 t 3 + 3 t 5 W
Correct answer
D. 2 t 3 + 3 t 5 W
Step-by-step solution
a → = 2 t i ^ + 3 t 2 j ^ V → = 2t 2 2 i ^ + 3 3 t 3 j ^ F → = 2 t i ^ + 3 t 2 j ^ P = F → . V → = 2 t 3 + 3 t 5