JEE Advanced2006PhysicsWork, Power and EnergyActual
A ball moves over a fixed track as shown in the figure. From A to B the ball rolls without slipping. If surface B C is frictionless and K_A, K_B and K_C are kinetic energies of the ball at A, B and C respectively, then
Options
- Ah_A>h_C ; K_B>K_c
- Bh_A>h_c ; K_c>K_A
- Ch_A=h_c ; K_B=K_c
- Dh_A K_c
Correct answer
A. h_A>h_C ; K_B>K_c
Step-by-step solution
In smooth part B C , due to zero torque, angular velocity and hence the rotational kinetic energy remains constant. While moving from B to C translational kinetic energy converts into gravitational energy.