A woman lifts her 100-N child up one meter and carries her for a distance of 50 m to the child’s bedroom. How much work does the woman do?
100
0 work
A woman lifts her 100 N child up 1 meters and carries her for a distance of 50 meters to her bedroom. how much work does the woman do?
To calculate the work done by the woman, we need to use the formula:
Work = force × distance × cos(angle)
In this case, we know the force (100 N) and the distance (50 m). However, we need to determine the angle between the force and the displacement.
Since the woman lifts the child vertically, the angle between the force and the displacement is 0 degrees, and the cosine of 0 degrees is 1.
So, the formula becomes:
Work = 100 N × 50 m × cos(0°)
Since cos(0°) is 1, the equation simplifies to:
Work = 100 N × 50 m × 1
Work = 5000 J
Therefore, the woman does 5000 Joules of work to lift and carry her child.