A body weighing 3 kg has a kinetic energy of 24 J. Determine the momentum and speed of this body.

Given:

m = 3 kilograms – body weight;

Ekin = 24 Joules – kinetic energy of the body.

It is required to determine the speed of the body v (m / s) and the momentum of this body P (kg * m / s).

Let’s find the speed of the body:

Ekin = m * v ^ 2/2, hence:

v = (2 * Ekin / m) ^ 0.5 = (2 * 24/3) ^ 0.5 = (48/3) ^ 0.5 = 16 ^ 0.5 = 4 meters per second.

Then the momentum of the body will be equal to:

P = m * v = 3 * 4 = 12 kg * m / s.

Answer: the speed of the body is 4 meters per second, the momentum of the body is 12 kilograms per meter per second.