A skateboarder is moving to the right

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

Problem

A 3.0 kg3.0\,\text{kg} skateboarder is moving 2.0 m/s2.0\,\text{m/s} to the right. While coasting on a level surface, the net horizontal force acting on the skateboarder varies with time as follows: • From t=0t=0 to 0.10 s0.10\,\text s: constant +50 N+50\,\text N (to the right) • From t=0.10 st=0.10\,\text s to 0.15 s0.15\,\text s: constant +Fmax N+F_{\text{max}}\,\text N (to the right) • From t=0.15 st=0.15\,\text s to 0.40 s0.40\,\text s: constant −30 N-30\,\text N (to the left) At t=0.40 st=0.40\,\text s the skateboarder’s speed is 8.0 m/s8.0\,\text{m/s} to the right. What is the value of FmaxF_{\text{max}} ? (a) 2.1×102 N2.1\times10^{2}\,\text N (b) 1.1×102 N1.1\times10^{2}\,\text N (c) 4.1×102 N4.1\times10^{2}\,\text N (d) 8.2×102 N8.2\times10^{2}\,\text N

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