# How much work does it take to raise a 2 kg  weight 1 m ?

Mar 3, 2016

$W = 19.62 J$

#### Explanation:

The equation of work, a type of energy transfer is given by $W = F s$ in which;

$W$=Work done, in Joule $\left(J\right)$
$F$ = Force exerted or applied, in Newton $\left(N\right)$ or $k g m {s}^{- 2}$
$s$ = Displacement/Distance, in metre or $m$

But then we only have information of mass, $m = 2 k g$ and distance, $s = 1 m$. To find force, $F$, we use the equation of $F = m a$ which is also equal to $F = m g$ in which;

$m$ = Mass of object, in kilogram or $k g$
$g$ = Gravitational acceleration, in $m {s}^{- 2}$

Thus;

$W = F s$
$W = \left(m g\right) s$
$W = \left(2 k g \times 9.81 m {s}^{- 2}\right) \times 1 m$
$W = 19.62 k g {m}^{2} {s}^{- 2}$ or $19.62 N m$ or $19.62 J$