The force vs. time graphs for two collisions are shown. which collision has the largest impulse?

A. The Impulses are the same

B. The impulse for collision 2 since it lasts longer.

C. The impulse for collision 1 since it has the larger maximum force.

D. Connot be determined since the initial and final speeds are unknown.

E. Cannot be determined since the masses are unknown.

Answer:

impulse is given as J= F.dt
incase of impulse 1
it is F(1-0.5) = 4*0.5 = 2Ns

in case of impulse 2 it is = 2(2.5-1.5) = 2 Ns

so, the correct answer is A) Both the impulses are same