Highly selective Backlog Qs for JEE MainPhysicsWork, Power and Energy
A box is moved along a straight line by a machine delivering constant power. The distance moved by the body in time ( t ) is proportional to
Options
- A( t ^ 1 2 )
- B(t^ 3 4 )
- C( t ^ 3 2 )
- D( t ^2 )
Correct answer
C. ( t ^ 3 2 )
Step-by-step solution
( aligned & Hints: P = Fv = m dv dt v & vdv = P / mdt ; v ^2 2 = Pt m & V= 2 p m t ^ 1 2 ; dx dt = 2 p m t ^ 1 2 & d x= 2 p m t^ 1 2 d t ; x= 2 p m t^ 3 2 3 2 = 2 3 2 p m t ^ 3 2 & x t ^ 3 2 & aligned )