In a collision between two unequal masses, how does the impulse imparted to the smaller mass by
the larger mass compare with the impulse imparted to the larger mass by the smaller one?
A) They are equal.
B) It is larger.
C) It is smaller.
D) The answer depends on the ratio of the masses.
E) The answer depends on how fast they are moving.
impulse≡∫F(t)→dt=F⃗ aveΔt=F⃗ Δt[/B]
F⃗ Δt=Δp⃗ =m(v⃗ f−v⃗ i)
The Attempt at a Solution
OK, so there is am Impulse imparted by a bigger mass on a smaller mass and the other way around too.
By definition Impulse is Force x the change in time and with the impulse- momentum theorem it equals the change in Momentum right? So, wouldn't i need the velocity for that then to use the impulse momentum theorem? Wouldn't a smaller mass with less contact time achieve an equal if not higher impulse compared to the impulse of the bigger mass? I am confused. Velocity should affect the time of contact and therefore the impulse right?