# If it takes 68 joules of work to push a desk chair across a floor, what force would be needed?

Mar 9, 2018

Well it depends...

#### Explanation:

Work is given by the equation $W = F \times d$, where $F$ is the force applied in newtons, and $d$ is the distance in meters.

If you just give $W = 68 \setminus \text{J}$, there are infinitely many solutions to

$F \cdot d = 68$

So, it also depends on the distance the desk is pushed.

Mar 9, 2018

$F = \frac{68}{s} N$

#### Explanation:

$W = F s$, where:

• $W$ = work done ($J$)
• $F$ = force ($N$)
• $s$ = distance travelled in the direction of the force ($m$)

The question only gives the value for $W$ and not $s$, so $F$ can only be given in terms of $s$.

$F = \frac{W}{s} = \frac{68}{s} N$