Final answer:
the magnitude of the difference between the work Jack does against gravity and the work Jill does against gravity, we can calculate the work done by each of them. Jack climbs a sheer rock face, so his work is equal to his weight multiplied by the distance he climbs. Jill follows a meandering path, so her vertical distance is different from the height of the hill.
Step-by-step explanation:
To calculate the difference in work Jack and Jill do against gravity, we need to find the work done by each of them. The work done against gravity is given by the formula: work = force x distance. The force they both need to overcome is their weight, which can be calculated using the formula: weight = mass x gravitational acceleration. As their masses are identical, their weights are the same. Jack climbs a sheer rock face to reach the top, so the distance he covers vertically is equal to the height of the hill, which is 300 m. This means the work he does against gravity is equal to his weight multiplied by the distance he climbs. Jill follows a meandering path, so the distance she covers vertically is different from the height of the hill. To find the vertical distance Jill covers, we can use the Pythagorean theorem since we know the length of the path she takes (915 m) and the height of the hill (300 m). The vertical distance Jill covers is equal to the square root of (path length squared minus hill height squared). With this information, we can calculate the work Jill does against gravity by multiplying her weight by the vertical distance she covers. The magnitude of the difference between the work Jack does against gravity and the work Jill does against gravity to get to the top is the absolute value of the difference between the two works.