Answer:
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..
[tex]F = m \frac{dv}{dt}[/tex]
[tex]F = m \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex]
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
