How much work does it take to raise a 6 kg  weight 7 m ?

May 16, 2018

$W = 400 \text{ Joules}$ is required.

Explanation:

Use the equations:
$\text{Work " = "Force"*"distance}$

and

$\text{Force " = "mass"*"acceleration}$
where acceleration in this case is acceleration due to gravity on Earth, or $9.8 \frac{m}{s} ^ 2$.

$W = \left(m\right) \left(a\right) \left(d\right)$

$W = \left(6 k g\right) \left(9.8 \frac{m}{s} ^ 2\right) \left(7 m\right)$

$W = 411.6 \frac{k g \cdot {m}^{2}}{{s}^{2}}$

Now consider significant figures and units to get a final answer of:

$W = 400 \text{ Joules}$