# How much work does it take to raise a 28 kg  weight 49 m ?

Apr 25, 2018

$13 k J$

#### Explanation:

$W = F \Delta s$, where:

• $W$ = work done ($J$)
• $F$ = force in the direction of motion ($N$)
• $\Delta s$ = distance traveled ($m$)

$W = m g \Delta h = 28 \cdot 9.81 \cdot 49 = 13 k J$

Apr 25, 2018

$13459.32 \setminus \text{J"~~13.46 \ "kJ}$

#### Explanation:

The work done is given by the equation,

$W = F \cdot d$

• $F$ is the force applied in newtons

• $d$ is the distance moved in meters

The force applied here is the weight of the box, which is,

$28 \setminus \text{kg"*9.81 \ "m/s"^2=274.68 \ "N}$

Therefore, the work done is,

$W = 274.68 \setminus \text{N"*49 \ "m}$

$= 13459.32 \setminus \text{J}$

$\approx 13.46 \setminus \text{kJ}$