## Related questions with answers

Question

A 65.0-kg firefighter climbs a flight of stairs 20.0 m high. How much work is required?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2$\text{\underline{\textbf{Given values:}}}$

$m=65 \: \text{kg}$

$d=20 \: \text{m}$

The force acting on a firefighter is the gravitational force.

The work that is done by the gravitational force, we will find from the equation:

$\begin{align*} W=F \cdot d \tag{$F=m \cdot g$.}\\ \end{align*}$

So, relation for work becomes:

$\begin{align*} \implies W&=(m \cdot g) \cdot d\\ \end{align*}$

Plug in values in above relation and solve for work:

$\begin{align*} W&=65 \: \text{kg} \cdot \bigg(9.81 \: \dfrac{\text{m}}{\text{s}^2}\bigg) \cdot 20 \: \text{m}\\ W&=\boxed{12753\: \text{J}} \end{align*}$

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