The answer is given. I need to know the mathematical process to get the answer.

Question

The answer is given. I need to know the mathematical process to get the answer.

Before the invention of a wheel turning on an axle, ancient people moved heavy loads by placing rollers under them. (Modern people use rollers, too. Any hardware store will sell you a roller bearing for a lazy susan.) A stone block of mass715kg moves forward at0.415m/s, supported by two uniform cylindrical tree trunks, each of mass 82.0 kg and radius 0.343 m. No slipping occurs between the block and the rollers or between the rollers and the ground. Find the total kinetic energy of the moving objects.

ANSWER: 66.9 J

Explanation / Answer

KE=.5*mstone*Vstone^2+2*(.5*Icylinder*w^2) = .5*715*.415^2+2(.5*.5*82*.343^2) =66.9J I cylinder=.5*mR^2

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