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10A solid sphere is given a kinetic energy E. Whatfraction of kinetic energy is associated withrotation?(a) 3/7(b) 5/7(d) 2/7 |
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Answer» If the sphere is rolling at velocity v, the kinetic energy is KE = 0.5*m*v² + 0.5*I*ω² I (moment of inertia of the sphere) = (2/5)*m*r² ω = v/r KE = 0.5*m*v² + 0.5*(2/5)*mr²*(v/r)² KE = 0.5*m*v² + (1/5)*m*v² Total KE = (7/10)*m*v² The fraction that is rotational is (1/5) / (7/10) = 2/7 or 0.286 (d) is correct option |
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