A 62.0 kg
 firefighter climbs a flight of stairs 19.0 m
 high. How much work is required?

To calculate the amount of work required for the firefighter to climb a flight of stairs, we can use the formula for gravitational work:

\[
W = m \cdot g \cdot h
\]

Where:
- \( W \) is the work done,
- \( m \) is the mass of the firefighter (62.0 kg),
- \( g \) is the acceleration due to gravity (9.81 m/s²),
- \( h \) is the height of the stairs (19.0 m).

Now, plug in the values:

\[
W = 62.0 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 \cdot 19.0 \, \text{m}
\]

\[
W = 11542.98 \, \text{J} \ (\text{joules})
\]

So, the work required is approximately **11,543 joules**.

Would you like more details on how this calculation was performed?

Here are 5 related questions for further exploration:
1. What is the significance of gravitational potential energy in this context?
2. How does the angle of the stairs affect the work done?
3. How would the work change if the firefighter's mass increased to 70 kg?
4. What is the relationship between work and power if the firefighter climbed the stairs in 10 seconds?
5. What would be the work done if the firefighter only climbed half the height?

**Tip:** When calculating work in physics, always ensure the direction of force and displacement are aligned; otherwise, adjustments may be needed.

A 62.0 kg firefighter climbs a flight of stairs 19.0 m high. How much work is required?

Learn how to calculate the work required for a 62.0 kg firefighter to climb a 19.0 m flight of stairs using the work formula W = m * g * h. This physics problem involves gravitational potential energy and is suitable for students in Grades 9-12.

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