Momentum and CollisionHard
Question
If a solid sphere of mass 1 kg and radius 0.1 m rolls with out sliping at a uniform velocity of 1 m/s along a straight line on a horizontal floor, the kinetic energy is
Options
A.
B.
C.
D.1 J
Solution
When body rolls over a smooth surface, it has liner K.e. and rotationl K.E.
∴
mv2 + ω2
where ω =
and I = 
mr2 for solid sphere.
∴ K.E. =
mv2 + 
=
mv2 + = 
mv2 = 
mv2 = × 1 × 12
=
∴
mv2 + ω2where ω =
and I = mr2 for solid sphere. ∴ K.E. =
mv2 + =
mv2 + = mv2 = mv2 = × 1 × 12 =
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