How much work does a 50 kg student to climb 3 meters high stairs
Fd = mgh = 50*9.8*3
15o
To determine the amount of work done by a student to climb the stairs, we need to use the formula for work:
Work = Force × Distance × Cos(θ)
In this case, the force is equal to the weight of the student, which can be calculated using the formula:
Force (weight) = mass × acceleration due to gravity
Assuming the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight of the student:
Weight = 50 kg × 9.8 m/s² = 490 N
Now that we have the weight, we can calculate the work done:
Work = 490 N × 3 m × Cos(θ)
The angle θ represents the angle between the direction of the force and the direction of motion. Since the stairs are vertical, θ is 0 degrees, and the value of Cos(θ) is 1.
Work = 490 N × 3 m × 1 = 1470 Joules
Therefore, the student does 1470 Joules of work to climb the 3-meter high stairs.