Final answer:
The work done by the woman lifting a 5.5 kg box onto a 1.23 m high car trunk using 78 N of force is 95.94 Joules.
Step-by-step explanation:
The amount of work done by the student in lifting the box can be calculated using the formula for work, which is the product of the force applied and the distance over which the force is applied. Given that the force is 78 N and the height of the car is 1.23 m, the work done is calculated by the equation:
Work = Force × Distance
Therefore:
Work = 78 N × 1.23 m
Work = 95.94 Joules
Since the box is lifted at a constant speed, the net work done against gravity will be equal to the gain in potential energy.