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
=

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