A rectangular pulse of net force with magnitude acts on a cart for a time interval

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A rectangular pulse of net force with magnitude F0F_0 acts on a cart for a time interval Δt\Delta t. The cart’s designer wants a new rectangular force pulse that delivers exactly twice the impulse as the original. Which single change will accomplish this? (a) Increase the magnitude to 2F02F_0 and reduce the duration to 12 Δt\tfrac{1}{2}\,\Delta t. (b) Increase the magnitude to 2 F0\sqrt{2}\,F_0 while keeping the duration Δt\Delta t unchanged. (c) Increase the magnitude to 2F02F_0 while keeping the duration Δt\Delta t unchanged. (d) Keep the magnitude F0F_0 but increase the duration to 1.5 Δt1.5\,\Delta t.

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