a boy who can generate 500 w runs up a flight of stairs in 5.0 s.how high are the stairs if the boy has a mass of 62 kg.
Enegy-A Boy Weighing 350 Newton Runs Up A Flight Of Stairs Consisting Of 20
To determine the height of the stairs, we can use the equation for work done:
Work = Force x Distance
In this case, the work done by the boy is equal to the change in potential energy as he climbs the stairs. The work done can be calculated using the formula:
Work = Mass x Gravity x Height
Where:
- Mass is the boy's mass, which is given as 62 kg.
- Gravity is the acceleration due to gravity, which is approximately 9.8 m/s².
- Height is the height of the stairs that we're trying to find.
Now let's solve for height:
Work = Mass x Gravity x Height
500 Joules = 62 kg x 9.8 m/s² x Height
To find the height, isolate Height in the equation:
Height = 500 Joules / (62 kg x 9.8 m/s²)
Calculating the expression:
Height = 500 J / (607.6 kg·m/s²)
Height ≈ 0.823 meters
Therefore, the height of the stairs is approximately 0.823 meters.