MHT CET202016 Oct 2020Evening ShiftPhysicsWork, Power and EnergyActual
A body slides down a smooth inclined plane having angle ' ' and reaches the bottom with velocity 'v'. If a body is a sphere then its linear velocity at the bottom of the plane is
Options
- A2 7 v
- B3 7 v
- C5 7 v
- D9 7 v
Correct answer
C. 5 7 v
Step-by-step solution
The linear velocity of the body, v= 2 g h The velocity of the sphere about its centre, v_ C M = 2 g h 1+ K² R² = v 1+ K² R² ( i ) For uniform solid sphere, K² R² = 2 5 Substituting value in Eq. (i), we get v_ C M = v 1+ ( 2 5 ) = 5 7 v