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I posted two questions that are really similar so if you can help me with BOTH t

ID: 2094040 • Letter: I

Question

I posted two questions that are really similar so if you can help me with BOTH then I would appreciate it and rate highly.
#1.) A solid sphere rolls on a level surface at a speed of 3.39 m/s. What is the ratio of its rotational kinetic energy to its total kinetic energy.
#2.) A solid sphere rolls on a level surface at a speed of 5.7 m/s. What is the ratio of its rotational kinetic energy to its translational kinetic energy.

I posted two questions that are really similar so if you can help me with BOTH then I would appreciate it and rate highly.
#1.) A solid sphere rolls on a level surface at a speed of 3.39 m/s. What is the ratio of its rotational kinetic energy to its total kinetic energy.
#2.) A solid sphere rolls on a level surface at a speed of 5.7 m/s. What is the ratio of its rotational kinetic energy to its translational kinetic energy. #2.)

Explanation / Answer

rotational enery = 1/2.I.w^2

= 1/2 x 2/5 x m x r^2x (3.39/r)^2 = 2.29842 m r^2

here r = radius

and transtainal enrgy = 1/2 x m x 3.39^2


so Ratio = 2/5 * 3.39^2/ 3.39^2

= 2/5 = 0.4



b)


rotational enery = 1/2.I.w^2

= 1/2 x 2/5 x m x r^2x (5.7r)^2 = 6.498m r^2

here r = radius

and transtainal enrgy = 1/2 x m x 5.7^2 = 16.245 mr^2


so Ratio = 2/5 * 5.7^2/ 5.7^2

= 2/5 = 0.4