A cart initially at rest on a horizontal track is pushed by a net force that varies…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A 0.50 kg0.50\,\text{kg} cart initially at rest on a horizontal track is pushed by a net force that varies with time as follows. • From t=0t=0 to 0.20 s0.20\,\text{s}, the force increases linearly from 00 to 5.0 N5.0\,\text{N}. • From t=0.20 st=0.20\,\text{s} to 0.40 s0.40\,\text{s}, the force remains constant at 5.0 N5.0\,\text{N}. • From t=0.40 st=0.40\,\text{s} to 0.60 s0.60\,\text{s}, the force decreases linearly from 00 to −5.0 N-5.0\,\text{N}. What is the cart’s velocity at t=0.60 st=0.60\,\text{s}? (a) 3 m s−13\,\text{m}\,\text{s}^{-1} to the right (b) 0 m s−10\,\text{m}\,\text{s}^{-1} (c) 1 m s−11\,\text{m}\,\text{s}^{-1} to the right (d) 2 m s−12\,\text{m}\,\text{s}^{-1} to the right

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