Impulse refers to which relationship?

Impulse refers to which relationship?

• A. The relationship between power and velocity
• B. The relationship between acceleration and velocity
• C. The relationship between force and velocity
• D. The relationship between force and time

Answer: (D)

Impulse is about how a force applied over a period of time changes an object's momentum. It is defined as the integral of force with respect to time, J = ∫ F dt. When the force is constant, impulse equals F × Δt, the product of the force and the contact time. That impulse equals the change in momentum: Δp = m Δv, so the velocity changes in proportion to the impulse and the mass. In practical terms, increasing either the peak force or the duration of force application during contact increases the impulse and leads to a greater change in velocity. The other relationships involve force-velocity, acceleration-velocity, or power, but they do not define impulse.

Impulse is about how a force applied over a period of time changes an object's momentum. It is defined as the integral of force with respect to time, J = ∫ F dt. When the force is constant, impulse equals F × Δt, the product of the force and the contact time. That impulse equals the change in momentum: Δp = m Δv, so the velocity changes in proportion to the impulse and the mass. In practical terms, increasing either the peak force or the duration of force application during contact increases the impulse and leads to a greater change in velocity. The other relationships involve force-velocity, acceleration-velocity, or power, but they do not define impulse.