A solid sphere of mass 4.0 kg and radius 0.12 m starts from rest at the top of a ramp inclined 15 $\degree$,and rolls to the bottom.The upper end of the ramp is 1.2 m higher than the lower end.What is the linear speed of the sphere when it reaches the bottom of the ramp? (Note: I = 0.4MR² for a solid sphere and g = 9.8 m/s²) A)4.7 m/s B)4.1 m/s C)3.4 m/s D)2.4 m/s

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Quizplus · Accepted Answer

The potential energy at the top is converted into translational and rotational kinetic energy at the bottom. Using energy conservation: mgh = 0.5mv^2 + 0.5Iω^2. Substituting I = 0.4MR^2 and ω = v/R, solve for v to find the linear speed.

A Solid Sphere of Mass 4 °\degree° ,And Rolls to the Bottom

A Solid Sphere of Mass 4 $\degree$ ,And Rolls to the Bottom