John is using a pulley to lift the sail on his sailboat. The sail weighs 150 N, and he must lift it 4.0 m. How much work must be done on the sail?
To calculate the work done on the sail, we need to use the formula:
Work = Force × Distance
In this case, the force can be calculated by multiplying the weight of the sail by the acceleration due to gravity (9.8 m/s^2):
Force = Weight × Gravity
Force = 150 N × 9.8 m/s^2
Now we can calculate the force:
Force = 1470 N
Next, we multiply the force by the distance John lifted the sail:
Work = Force × Distance
Work = 1470 N × 4.0 m
Now we can calculate the work:
Work = 5880 Joules
Therefore, John must do 5880 Joules of work to lift the sail on his sailboat.