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A uniform sphere of mass 200 g rols withiout slipping on a plane surface so that its centre mioves at a speed of 2.00 cm/s. Find its kinetic energy. |
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Answer» As the sphere rolls without slipping on the plane surface, it sangular speed about the center is `omega=(v_(cm))/r`. The kinetic energy is `K=1/2l_(cm)omega^2+1/2Mv^2_(cm)` `=1/2.2/5mr^2omega^2+1/2Mv^2_(cm)` `=1/5Mv^2_(cm)+1/2Mv^2_(cm)=7/10v_(cm)^2` `7/10(0.200kg)(0.02m/s)62=5.6xx10^-5J`. |
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