The stone falls without initial speed from a height of 6 meters from the surface of the earth.
The stone falls without initial speed from a height of 6 meters from the surface of the earth. At what height will the kinetic energy of the stone be 2 times its potential energy?
V0 = 0 m / s.
h0 = 6 m.
g = 10 m / s2.
Ek = 2 * Ep.
h -?
The potential energy of the stone, En, is determined by the formula: En = m * g * h.
The kinetic energy of the stone Ek is determined by the formula: Ek = m * V ^ 2/2.
According to the law of conservation of total mechanical energy: En0 = Ek + En.
Since according to the condition of the problem Ek = 2 * En, the formula for the law of conservation of the total mechanical energy will take the form: En0 = 2 * En + En = 3 * En.
m * g * h0 = 3 * m * g * h.
h = h0 / 3.
h = 6 m / 3 = 2 m.
Answer: at a height of h = 2 m from the surface, the kinetic energy of the stone will be 2 times its potential energy.