A cart of mass 0.26 kg starts from rest. A constant force of 10 N acts for 0.17 s. Calculate its final speed.

Question

Accepted Answer

6.54 m/s A constant force acting for a time produces impulse J = FΔt = 10 N × 0.17 s = 1.7 N s. Impulse equals the change in momentum, Δp. Because the object starts from rest, its initial momentum is zero and its final momentum equals the impulse. Therefore mv = 1.7 kg m/s, so v = 1.7 ÷ 0.26. The final speed is 6.54 m/s. Check: multiplying this speed by the mass recovers the calculated impulse, as required by J = Δp.

Impulse delivered to a cart

A cart of mass 0.26 kg starts from rest. A constant force of 10 N acts for 0.17 s. Calculate its final speed.

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