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Calculating Work Done When Climbing Stairs
When climbing stairs, work done can be calculated using the formula:
Work = Force × Distance
Where: - Force is the force exerted against gravity, which can be calculated as the product of mass and acceleration due to gravity (F = m × g). - Distance is the vertical height climbed.
Calculation Steps
1. Calculate Force: - The force exerted against gravity can be calculated as the product of mass and acceleration due to gravity. - The standard acceleration due to gravity is approximately 9.81 m/s^2.2. Determine Distance: - Measure the vertical height climbed in meters.
3. Calculate Work: - Multiply the force by the distance to obtain the work done.
Example Calculation
Let's assume a person with a mass of 70 kg climbs a set of stairs with a vertical height of 5 meters.1. Calculate Force: - Force = mass × acceleration due to gravity - Force = 70 kg × 9.81 m/s^2 - Force ≈ 686.7 N
2. Determine Distance: - Vertical height climbed = 5 meters
3. Calculate Work: - Work = Force × Distance - Work = 686.7 N × 5 m - Work ≈ 3433.5 joules
Therefore, the work done when climbing the stairs would be approximately 3433.5 joules.
(#1)


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