A puck slides across frictionless ice with an initial velocity of

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

Problem

A 0.25 kg0.25\text{ kg} puck slides across frictionless ice with an initial velocity of +6.0 m s−1+6.0\,\text{m\,s}^{-1}. Beginning at t=0t=0, an automated stick applies a net horizontal force according to the schedule below: • 0≤t<0.050 s:  Fx=+150 N0\le t<0.050\text{ s}:\;F_x=+150\text{ N} (constant) • 0.050 s≤t≤0.120 s:  Fx=F20.050\text{ s}\le t\le0.120\text{ s}:\;F_x=F_2 (constant, directed along −x-x) For t>0.120 st>0.120\text{ s} the net horizontal force is zero. The goal is to bring the puck to rest exactly at t=0.120 st=0.120\text{ s}. (a) Calculate the impulse delivered to the puck during the first 0.050 s0.050\text{ s} interval. (b) Determine the magnitude and direction of F2F_2 required to bring the puck to rest at t=0.120 st=0.120\text{ s}. (c) Compute the average net force acting on the puck over the entire 0 s0\text{ s} to 0.120 s0.120\text{ s} interval.

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