How much total work is done by 450-N girl who lifts a 52-N backpack 1.2m to her shoulders and then climbs a ladder 3.0m high?
257
Can u show a picture of it being rught
1568.4
To find the total work done by the girl, we need to calculate the work done in lifting the backpack and the work done in climbing the ladder separately, and then add them together.
1. Work done in lifting the backpack:
The work done in lifting an object is given by the formula: work = force × distance. In this case, the force is the weight of the backpack (52 N), and the distance is the height the backpack is lifted (1.2 m). So, the work done in lifting the backpack is:
work = force × distance
= 52 N × 1.2 m
= 62.4 J
2. Work done in climbing the ladder:
The work done against gravity while climbing the ladder is given by the formula: work = force × distance. In this case, the force is the total weight of the girl and the backpack (450 N + 52 N = 502 N), and the distance is the height of the ladder (3.0 m). So, the work done in climbing the ladder is:
work = force × distance
= 502 N × 3.0 m
= 1506 J
3. Total work done:
To find the total work done, we add the work done in lifting the backpack to the work done in climbing the ladder:
total work = work for lifting backpack + work for climbing ladder
= 62.4 J + 1506 J
= 1568.4 J
Therefore, the total work done by the girl is approximately 1568.4 Joules.