The footballer hit the ball. After some time, the ball flew at a height of 1 m at a speed of 2 m / s.

The footballer hit the ball. After some time, the ball flew at a height of 1 m at a speed of 2 m / s. Determine the total mechanical energy of the ball, the mass of which is 500 grams.

h = 1 m.

g = 9.8 m / s2.

V = 2 m / s.

m = 500 g = 0.5 kg.

E -?

The total mechanical energy of the ball is the sum of the potential En and the kinetic energy of the body Ek: E = En + Ek.

The potential energy of the body En is determined by the formula: En = m * g * h, where m is the mass of the body, g is the acceleration of gravity, h is the height of the body.

Ep = 0.5 kg * 9.8 m / s2 * 1 m = 4.9 J.

The kinetic energy of the body Ek is determined by the formula: Ek = m * V ^ 2/2, where m is the mass of the ball, V is the speed of its movement.

Ek = 0.5 kg * (2 m / s) ^ 2/2 = 1 J.

E = 4.9 J + 1 J = 5.9 J.

Answer: the total mechanical energy of the ball is E = 5.9 J.