What's an example equation of an egg rolling down a ramp into a bucket. What's the transfer of energy?

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What's an example equation of an egg rolling down a ramp into a bucket. What's the transfer of energy?
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Step 1

Draw an FBD showing egg forces while rolling down a ramp.

Physics homework question answer, step 1, image 1

Here m signifies egg mass, g signifies gravity, f signifies kinetic friction, acm signifies translation acceleration, α signifies angular acceleration, N signifies normal force, 0 signifies ramp inclination angle and r signifies radius.

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