NEET2012PhysicsWork, Power and EnergyActual
A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P₀ . The instantaneous velocity of this car is proportional to
Options
- At^2 P₀
- Bt^ 1 / 2
- Ct^ -1 / 2
- Dt / m
Correct answer
B. t^ 1 / 2
Step-by-step solution
Power P₀=F v aligned & = (m d v d t ) v & =m v d v d t aligned Integrating both sides aligned P₀ d t & = m v d v P₀ t & = m v^2 2 v^2 & = 2 P₀ t m v & t^ 1 / 2 aligned