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Explanation:
Given that,
Mass of a ball, m = 250 g = 0.25 kg
Initial velocity of the ball, u = 6 m/s
Final velocity of the ball, v = -9 m/s
(a) Impulse of the system is given by :
Impulse = change in momentum
J = m(v-u)
J = 0.25(-9-6)
= -3.75 kg-m/s
(b) Impulse = Ft
If t = 0.5 min = 30 s
So,
[tex]F=\dfrac{J}{t}\\\\F=\dfrac{-3.75}{30}\\\\F=-0.125\ N[/tex]
So, impulse of the system is -3.75 kg-m/s and the force is -0.125 N.