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Question: Answered & Verified by Expert
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

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Options:
  • A
    $h_A>h_C ; K_B>K_c$
  • B
    $h_A>h_c ; K_c>K_A$
  • C
    $h_A=h_c ; K_B=K_c$
  • D
    $h_A < h_c ; K_B>K_c$
Solution:
1789 Upvotes Verified Answer
The correct answers are:
$h_A>h_C ; K_B>K_c$
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.

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