PhysicsClassical Physics

Conservation of Energy Formula: A Rock Falling from a 20 m Cliff

Under the textbook’s frictionless model, the falling rock retains 980 J of potential energy and has gained 980 J of kinetic energy after falling halfway.

Question

A 10 kg rock falls from a 20 m cliff. What is the kinetic and potential energy when the rock has fallen 10 m?

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Evidence boundary

The original prompt itself states only the rock’s mass, the 20 m cliff, and the 10 m fall. The textbook’s worked solution then lists v1=0v_1=0 and g=9.80,mathrmm/s2g=9.80,mathrm{m/s^2}, and the surrounding section uses a frictionless approximation for these mechanical-energy transformations. The calculation follows that textbook model; with significant dissipative work, mechanical energy alone would not remain constant.