A solid spherical ball rolls on table.ratio of its rotational kinetic energy to total kinetic energy is 1)1:2 2) 1:6 3) 7:10 4) 2/7
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Answer:
2/7
Explanation:
=> Linear Kinetic energy of a solid spherical ball is 1/2mv² and rotational Kinetic energy of a ball is 1/2Iω²
But, I = 2/5mr²
∴ rotational K.E. of ball = 1/2( 2/5mr²)ω²
=1/5mv²
=> Thus, total Kinetic energy = Linear K.E. + rotational K.E.
= 1/2mv² + 1/5mv²
= 5/10 mv² + 2/10 mv²
= 7/10mv².
=> Hence, Ratio of rotational kinetic energy to total kinetic energy is:
=(1/5)mv² / (7/10)mv²
=2/7
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