# How much work does it take to raise a 2 kg  weight 3 m ?

Apr 17, 2016

$W = 58.8 N m$

#### Explanation:

Work is force times distance,

$W = F d$,

and force is mass times acceleration,

$F = m a$.

In this case, acceleration is that of gravity,

$a = g = 9.8 \frac{m}{s} ^ 2$,

and $m = 2 k g$, as in the question, so

$F = 2 k g \cdot 9.8 \frac{m}{s} ^ 2 = 19.6 N$.

Inserting this into the equation for work, along with the distance of $3 m$,

$W = F d = 19.6 N \cdot 3 m = 58.8 N m$

which is the final answer.