JEE Main202118 Mar 2021Morning ShiftPhysicsWork, Power and EnergyActual
A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time t is proportional to :-
Options
- At 2 3
- Bt 3 2
- Ct
- Dt 1 2
Correct answer
B. t 3 2
Step-by-step solution
P = C ⇒ F V = C ⇒ M d V d t V = C ⇒ V 2 2 ∝ t ⇒ V ∝ t 1 / 2 ⇒ d x d t ∝ t 1 / 2 ⇒ x ∝ t 3 / 2