Asoccer ball (mass = 0.43 kg) is moving at a speed of 20 m/s when it is kicked with a force of 300 n resulting in it going in the opposite direction with the same speed as before. what is the magnitude of the impulse delivered to the ball?

8.6 kgm/s or 8.6 Ns

Explanation:

Given:

Mass, m = 0.43 kg

Speed, v = 20 m/s

Force, F = 300 N

From Newton's second law of motion, the force applied to a body is directly proportional to the rate of change of its linear momentum in the direction of the applied force..

                               F(t₂ - t₁) = m(v₂ - v₁)

                               FΔt = mΔv

                               Impulse = change in momentum

We can calculate the momentum of the soccer ball and equate it to impulse.

    momentum of the soccer ball = mass × velocity

                                                      = 0.43 kg × 20 m/s

                                                      = 8.6 kgm/s

Since impulse equals change in momentum of a body, then,

The magnitude of the impulse delivered to the ball = 8.6 kgm/s or 8.6 Ns                

he made 11 calls in one day

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min