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प्रश्न
A solid sphere is in a rolling motion. In rolling motion, a body possesses translational kinetic energy (kt) as well as rotational kinetic energy (kr) simultaneously. The ratio kt : kr for the sphere is:
विकल्प
10 : 7
5 : 7
2 : 5
5 : 2
MCQ
उत्तर
5 : 2
Explanation:
Kinetic energy translational (kt) = `1/2 "mv"^2`
Kinetic energy rotational, (kr) = `1/2 "I" ω^2`
= `1/2 (2/5 "mr"^2) xx "v"^2/"r"^2 = 2/10 "mv"^2`
∴ `"k"_"t"/"k"_"r" = 5/2`
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