A 60 kg woman climbs a flight of stairs 5,0 m high how much work is required
330 J
To calculate the work required to climb the flight of stairs, we need to consider the force applied and the displacement. The work is given by the formula:
Work = Force x Displacement x cos(angle)
In this case, the force applied will be equal to the weight of the woman, which is given by her mass multiplied by the acceleration due to gravity (9.8 m/s^2).
Force = mass x acceleration due to gravity = 60 kg x 9.8 m/s^2 = 588 N
The displacement is the height of the stairs, which is given as 5.0 m.
Displacement = 5.0 m
The angle between the force applied and the displacement is 0 degrees, so the cosine of the angle is 1.
cos(angle) = 1
Therefore, the work required to climb the flight of stairs is:
Work = Force x Displacement x cos(angle) = 588 N x 5.0 m x 1 = 2940 Joules
To calculate the work required to climb the flight of stairs, we can use the formula:
Work = force * distance * cos(theta)
Where:
- Force is equal to the product of the mass (m) and the acceleration due to gravity (g)
- Distance is the height of the stairs (h)
- Theta is the angle between the direction of the applied force and the direction of motion of the object. In this case, the woman is climbing vertically, so theta is 0 degrees.
First, let's calculate the force:
Force = mass * acceleration due to gravity
Force = 60 kg * 9.8 m/s² = 588 N
Next, we can substitute the values into the formula:
Work = force * distance * cos(theta)
Work = 588 N * 5.0 m * cos(0°)
Work = 588 N * 5.0 m * 1
Work = 2940 N·m or Joules (J)
Therefore, the work required for a 60 kg woman to climb a flight of stairs 5.0 m high is 2940 Joules.