The force involved in a collision is 1.0×10 to the second power newtons the duration of the impact is 1.0×10 to the fourth power seconds what is the value of the change in momentum

Knowing the force and the duration, we can simply multiply them to get the "impulse".  This is really convenient for this question, because the impulse is also the change in momentum.  So let's do it:

Change in momentum =  (force) x (duration)

Change in momentum = (1 x 10² Newtons) x (1 x 10⁴ seconds)

Change in momentum = (100 N) x (10,000 seconds)

Change in momentum = 1,000,000 Newton-seconds

Change in momentum = 1,000,000 kg-m/s .

That sunawfulada momentum !  It's the same change in momentum as if you stopped a 4,000-kg truck that was going 550 mph, in 1 second !

There's gotta be something wrong here.

Notice the duration of the impact in the question: 1 x 10⁴ seconds.

That's 2 hours and 47 minutes !  Collisions don't normally take that long.

Call me batty, but I've got a hunch that the duration actually is supposed to be 1.0 x 10 to the NEGATIVE fourth power. Then, the change in momentum is

(100 N) x (0.0001 s)  =  0.01 kg-m/s

That's still a slightly uncomfortable result, but it's definitely more realistic ... it could be the act of batting a fly or a mosquito out of the air.

I like that a lot better than a collision that takes almost 3 hours.

i think the answer is a, hope this : )