A solid uniform sphere of mass and radius is released from rest at the top of a…

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A solid uniform sphere of mass 0.50 kg0.50\,\text{kg} and radius 0.10 m0.10\,\text{m} is released from rest at the top of a straight ramp of length 4.0 m4.0\,\text{m} and vertical height 2.0 m2.0\,\text{m}. The sphere rolls without slipping down the ramp. Air resistance is negligible. (a) Calculate the linear speed of the sphere’s center of mass when it reaches the bottom of the ramp. (b) Determine the numerical value of the ratio Ktrans/KrotK_{\text{trans}}/K_{\text{rot}} for the sphere at the bottom of the ramp and briefly state what this ratio indicates about the distribution of the sphere’s total kinetic energy.

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