A cart initially at rest on a friction-free track experiences a horizontal force that…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

5\,\text{kg}

cart initially at rest on a friction-free track experiences a horizontal force that increases uniformly from

0

20\,\text{N}

during the first

3\,\text{s}

and then decreases uniformly back to zero during the next

3\,\text{s}

. (a) Sketch the qualitative force–time graph for the complete

6\,\text{s}

interval. (b) Calculate the impulse imparted to the cart during the first

3\,\text{s}

. (c) Determine the speed of the cart at

t=6\,\text{s}