To find the total work done against gravity by the student during the climb, we can use the formula:
Work = force x distance
The force can be calculated using the formula:
Force = mass x gravity
Where:
mass = 60 kg (given)
gravity = 9.8 m/s^2 (acceleration due to gravity)
First, let's calculate the force:
Force = mass x gravity
Force = 60 kg x 9.8 m/s^2
Force = 588 N
Now, we can calculate the work done using the formula:
Work = force x distance
Work = 588 N x 4.0 m
Work = 2352 Joules
Therefore, the approximate total work done against gravity by the student during the climb is 2352 Joules.