in an impulse/ change in momentum problem where mv(final)-mv(initial)=Ft if the initial velocity is zero can i cancel out the masses?
In an impulse/momentum problem, the equation you provided, mv(final) - mv(initial) = Ft, is known as the impulse-momentum equation. This equation relates the change in momentum of an object to the force and the time interval over which the force acts.
If the initial velocity of the object is zero, the equation simplifies to mv(final) = Ft. Now, to address your question about canceling out the masses:
In this scenario, if the object is the same for both the final and initial states (meaning the mass does not change), then you can indeed cancel out the masses.
Here's how you can get to that conclusion:
1. Start with the equation mv(final) = Ft.
2. If the initial velocity is zero, it means the mass times the initial velocity (mv(initial)) becomes zero.
3. Therefore, you're left with mv(final) = Ft.
Since the masses cancel out in this situation, it implies that the equation applies to any object with the same mass as long as the other factors, such as force and time, remain the same.
However, it is crucial to note that canceling out the masses is only valid if the masses are the same in both the final and initial states. If the masses differ, you cannot cancel them out, and you'll need to consider their values in the equation.