An object of mass 10 kg moving with a speed of 15 ms- hits the wall and comes to res within (a) 0.03 second (b) 10 second. Calculate the impulse and average force acting on the object in both the cases

Explanation

Initial momentum of the object `P_i = 10 xx 15 = 150 kg ms^(-1)`
Final momentum of the object `P_f = 0`
`Delta P = 150 - 0 = 150 kg mg^(-1)`
(a) Impulse J= `DeltaP` = 150 N s and Average force `F_(avg) = (Delta P)/(Delta t) = (150)/(0.03) = 5000 N`
(b) Impulse `J = Delta P = 150 N ` s and average force `F_(avg) = 150/10 = 15N`
We see that, impulse is the same in both cases, but the average force is different.