Impulse-Momentum Theorem

Steps:

• Impulse equals force multiplied by time, which causes a change in momentum.
• The frictional force opposes motion, decreasing the object's momentum.
• Rearrange the impulse formula: time = change in momentum / force.
• Since force is constant and momentum decreases, use the magnitude of the change.

Why A is correct:

• Newton's second law in impulse form states impulse (F × t) equals change in momentum (Δp), so t = Δp / F.

Why the others are wrong:

• B inverts the relationship, giving force instead of time.
• C divides initial momentum by force, ignoring the change.
• D multiplies initial momentum by force, yielding incorrect units.

Final answer: A