Force vs. time graph. The force exerted over a time interval is shown on the gra

Question

Force vs. time graph. The force exerted over a time interval is shown on the graph above. The force (N) is plotted on the y-axis, and the time (sec) is on the x-axis. The force is acting on a 2 kg object, model it as a particle. Find...

a.) the impulse of the force

b.) the final velocity of the particle if it is initially at rest.

c.) the final velocity of the particle if it is initailly moving along the x-axis with a velocity of -2 m/s.

Force vs. time graph. The force exerted over a time interval is shown on the graph above. The force (N) is plotted on the y-axis, and the time (sec) is on the x-axis. The force is acting on a 2 kg object, model it as a particle. Find... a.) the impulse of the force b.) the final velocity of the particle if it is initially at rest. c.) the final velocity of the particle if it is initailly moving along the x-axis with a velocity of -2 m/s.

Explanation / Answer

a) impulse = Fdt =area under the curve = 12 b) impulse = change in momentum = mv -0 =12 therefore v=6m/s c)mv-(-4) =12 v=4m/s

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