Assume your mass is 80 kg. The acceleration
due to gravity is 9.8 m/s
2
.
How much work against gravity do you do
when you climb a flight of stairs 2.3 m high?
M g H
To calculate the work done against gravity when climbing a flight of stairs, you can use the formula:
Work = force x distance
The force to be considered here is the weight of the person, given by:
Force = mass x gravitational acceleration
Let's plug in the given values:
Mass (m) = 80 kg
Gravitational acceleration (g) = 9.8 m/s^2
Distance (d) = 2.3 m
First, calculate the force (F):
Force = Mass x Gravitational acceleration
F = 80 kg x 9.8 m/s^2
F = 784 N
Now, you can calculate the work done against gravity:
Work = Force x Distance
Work = 784 N x 2.3 m
Work = 1803.2 Joules (J)
Therefore, the work done against gravity when climbing a flight of stairs 2.3 m high is 1803.2 Joules (J).
To calculate the work done against gravity when climbing a flight of stairs, you can use the formula:
Work = Force × Distance
First, let's calculate the force you need to overcome against gravity when climbing the stairs.
Force = mass × acceleration due to gravity
Given that your mass is 80 kg and the acceleration due to gravity is 9.8 m/s^2:
Force = 80 kg × 9.8 m/s^2
= 784 N
Now, we can calculate the work done against gravity using the formula:
Work = Force × Distance
Given that the height of the flight of stairs is 2.3 m:
Work = 784 N × 2.3 m
= 1803.2 J (Joules)
Therefore, you would do 1803.2 Joules of work against gravity when climbing a flight of stairs that is 2.3 m high.