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A rock falls off from a vertical cliff that is 2.0 m tall and experiences no significant air resistance as it At what speed will its gravitational potential (relative to the base equal to its kinetic energy?

Respuesta :

MathPhys

Answer:

4.4 m/s

Explanation:

Initially, the rock has only potential energy. As it falls, some of the potential energy is converted to kinetic energy.

PE₀ = PE + KE

At one point, the potential energy and kinetic energy are equal.

PE₀ = KE + KE

PE₀ = 2 KE

mgh₀ = 2 (½ mv²)

gh₀ = v²

(9.8 m/s²) (2.0 m) = v²

v = 4.4 m/s