Question

a person is standing on top of a 15 m cliff and kicks a 0.75 kg stone into the water below.
a) what is the potential energy of the stone 12 m?
b) if the maximum pe is equal to the maximum ke, use the conservation of energy to determine the velocity of the falling stone. 14.7 m/s
answer 1:
12 m
answer 2:
14.7 m/s

Explanation:

Step1: Calcular la energía potencial gravitacional

La fórmula para la energía potencial gravitacional \(PE = mgh\), donde \(m = 0.75\ kg\), \(g= 9.8\ m/s^{2}\) y \(h = 12\ m\).
$$PE=(0.75\ kg)(9.8\ m/s^{2})(12\ m)$$

Step2: Realizar el cálculo

$$PE = 0.75\times9.8\times12$$
$$PE=88.2\ J$$

Answer:

La energía potencial del objeto es \(88.2\ J\)