A body weighing 5 kg moves in accordance with the equation V = 5 + t. Find the impulse of the body

A body weighing 5 kg moves in accordance with the equation V = 5 + t. Find the impulse of the body 10s after the start of the movement.

Given:

m = 5 kilograms – body weight;

V (t) = 5 + t – the dependence of the body’s speed on time;

t = 10 seconds – time span.

It is required to determine the body impulse P (kg * m / s) after a time interval t.

Let’s find the speed of the body 10 seconds after the start of the movement:

V = 5 + t = 5 + 10 = 15 m / s.

Then the momentum of the body will be equal to:

P = m * v = 5 * 15 = 75 kg * m / s.

Answer: after 10 seconds the body impulse will be equal to 75 kg * m / s.