# How much work does it take to raise a 2 kg  weight 18 m ?

Dec 10, 2015

#### Answer:

It will require $\text{400 J}$.

#### Explanation:

$\text{work"="force"xx"distance}$

$\text{F"_"weight"=mg}$

Given/Known
$m = \text{2kg}$
$g = \text{9.81 m/s^2}$
$h = \text{18 m}$

Solution
Determine $\text{F"_"weight}$.

$\text{F"_"weight"=2"kg"xx9.81"m/s"^2="19.62 N}$

I am keeping some guard digits to reduce rounding errors. I will round the final answer to one significant figure.

Calculate work.

$\text{work"=19.62"N"xx18"m"="400 J}$ (rounded to one significant figure)