A student pulls a cart with a horizontal force that increases uniformly from at to at…

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A student pulls a 1.0 kg1.0\,\text{kg} cart with a horizontal force that increases uniformly from 0 N0\,\text{N} at t=0t=0 to 10 N10\,\text{N} at t=0.50 st=0.50\,\text{s} and then is removed. The track is frictionless. What is the magnitude of the impulse delivered to the cart during the 0.50 s0.50\,\text{s} interval? (a) 3.5 N ⁣⋅ ⁣s3.5\,\text{N}\!\cdot\!\text{s} (b) 5.0 N ⁣⋅ ⁣s5.0\,\text{N}\!\cdot\!\text{s} (c) 2.5 N ⁣⋅ ⁣s2.5\,\text{N}\!\cdot\!\text{s} (d) 1.3 N ⁣⋅ ⁣s1.3\,\text{N}\!\cdot\!\text{s}

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