How much work is done by the upward force of your head on a 50 N rock that you carry horizontally across a 10 m room?
See previous post.
To calculate the work done by a force, we use the formula:
Work = Force × Distance × cos(θ)
where:
- Work is the amount of work done (in joules),
- Force is the applied force (in newtons),
- Distance is the displacement (in meters), and
- θ is the angle between the force and the direction of displacement (in degrees).
In this case, the force is the upward force exerted by your head, which we assume is equal to the weight of the rock, 50 N. Since you are carrying the rock horizontally, the angle θ between the force and the displacement is 0 degrees.
Now we have all the necessary values to calculate the work done. Substituting the given values into the formula:
Work = 50 N × 10 m × cos(0°)
Since cos(0°) = 1, the formula simplifies to:
Work = 50 N × 10 m × 1
Therefore, the work done by the upward force of your head on a 50 N rock as you carry it horizontally across a 10 m room is:
Work = 500 joules.