Please explain how to solve the problem in detail and provide the correct answer

Question

Please explain how to solve the problem indetail and provide the correct answer. Will ratelifesaver! Thank you.
A 12.0 kg cylinder rolls withoutslipping on a rough surface. At an instant when its center ofgravity has a speed of 9.0 m/s. (a) Determine the translational kinetic energyof its center of gravity.
1 J
(b) Determine the rotational kinetic energy about its center ofgravity.
2 J
(c) Determine its total kinetic energy
3 J Please explain how to solve the problem indetail and provide the correct answer. Will ratelifesaver! Thank you.
A 12.0 kg cylinder rolls withoutslipping on a rough surface. At an instant when its center ofgravity has a speed of 9.0 m/s. (a) Determine the translational kinetic energyof its center of gravity.
1 J
(b) Determine the rotational kinetic energy about its center ofgravity.
2 J
(c) Determine its total kinetic energy
3 J

Explanation / Answer

(a)the translational kinetic energy of its center ofgravity. K=m*v2/2=486J (linear motion) (b)the rotational kinetic energy about its center ofgravity. E=2*m*r2/4 r is radius of the cylinder =>E=m*v2/2=243 J v=r (c)its total kinetic energy
total E+K=729J

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