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Intro to Calculating Work

Intro to Calculating Work

9. Work & Energy / Intro to Calculating Work / Problem 5

A luggage cart with mass $m$ is placed on an airport's moving walkway moving at speed $v$ . The kinetic friction coefficient between the cart and walkway is $\mu_{k}$ . Over time $t$ , the cart stops moving relative to the walkway, traveling distance $d=\frac12\frac{v^2}{\mu_{k}g}$ . How much of the work done by the walkway's motor is used against friction and how much to accelerate the luggage?

A

$W_{friction}=\frac{1}{2}mv^2;\ W_{acceleration}=0$

B

$W_{friction}=\frac{1}{4}mv^2;W_{acceleration}=\frac{1}{4}mv^2$

C

$W_{friction}=0;\ W_{acceleration}=\frac{1}{2}mv^2$

D

$W_{friction}=0;\ W_{acceleration}=0$

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