a rock climber weights 550N and is carrying a backpack that weighs 50N. how much total work has been done after she climbs 12m
W = F*d = 600*12 = 7200 Joules.
To calculate the total work done, we need to multiply the force applied by the distance moved.
1. Calculate the total weight:
- The weight of the rock climber is 550N.
- The weight of the backpack is 50N.
- Total weight = 550N + 50N = 600N.
2. Calculate the work done:
- Work done = Force × Distance
- Distance climbed = 12m.
- Work done = Total weight × Distance
- Work done = 600N × 12m
To calculate the work done, let's multiply the values:
600N × 12m = 7200 N·m
Therefore, the total work done after she climbs 12m is 7200 N·m.
To calculate the total work done by the rock climber, we need to determine the work done against gravity for both the climber and the backpack separately.
Work is defined as the force applied in the direction of motion multiplied by the distance traveled. In this case, the force is the weight and the distance is the height climbed.
For the rock climber:
Work = force x distance
= 550N x 12m
= 6600 Joules
For the backpack:
Work = force x distance
= 50N x 12m
= 600 Joules
Now, to find the total work done, we add the work done by the climber and the backpack together:
Total Work = Work done by climber + Work done by backpack
= 6600 Joules + 600 Joules
= 7200 Joules
Therefore, the total work done after the climber climbs 12m is 7200 Joules.