# Calculating Distance Given Work and Forces

**1. The problem statement, all variables and given/known data**

A farmhand does 972 J of work pulling an empty hay wagon along level ground with a force of 310 N [23 degrees below the horizontal]. A frictional force of 280 N opposes the motion. The distance the wagon travels is

a. 0.39 m

b. 1.7 m

c. 3.4 m

d. 32 m

e. 1.8 x 10^{2} m

**2. Relevant equations**

W=FcosΘd

F_{net}=F_{1}+F_{2}

**3. The attempt at a solution**

W=Fd

d=W/F

d=972/(310cos23-280)

d=180 m

Apparently, the correct answer is c) 3.4 m, which works if you don’t account friction, but I don’t understand how that’s correct.

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