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Question

What dampens the energy ofa rolling ball?
A)friction
B)wind
C)repulsion
D)round shape of a ball


Solution

Answer;- Round shape of a ball dampens the energy ofa rolling ball.

Expalantion:- As an object rolls, it has  both translational and rotational kinetic energy. 

The mathematical expression for
  • Ke translational = 1/2mv^2 [ m- mass of the body and v- velocity of the body ] 
  • Ke rotational = kmr^2 [k-The geometric factor k is a constant which depends on the shape of the object, r -radius of the object ] 
So here depending on the round shape of the object k value differs
  • k =0.4 for a uniform solid sphere 
  • k=1 for holow cylinder 
Hence the best option is option D [ Round shape of a ball dampens the energy ofa rolling ball.]

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