A forklift lifts a 900-Newton load 5 meters high. It then carries this load to a horizontal distance of 20 meters. Determine the total work done on the load.
4,500 Joules
9,000 Joules
17,640 Joules
18,000 Joules
27,000 Joules
To determine the total work done on the load, we need to calculate the work done in lifting the load vertically and the work done in carrying the load horizontally.
The work done in lifting the load vertically can be calculated using the formula: work = force * distance
The force exerted by the forklift is equal to the weight of the load, which is the mass of the load (900 N) multiplied by the acceleration due to gravity (9.8 m/s^2), so force = 900 N * 9.8 m/s^2 = 8820 N.
The distance lifted vertically is 5 meters.
So, the work done in lifting the load vertically is: work = 8820 N * 5 m = 44100 Joules.
The work done in carrying the load horizontally is calculated using the same formula: work = force * distance.
The force exerted by the forklift is equal to the weight of the load, which is still 900 N.
The horizontal distance traveled is 20 meters.
So, the work done in carrying the load horizontally is: work = 900 N * 20 m = 18000 Joules.
To find the total work done on the load, we add the work done in lifting the load vertically to the work done in carrying the load horizontally:
Total work = 44100 Joules + 18000 Joules = 62100 Joules
Therefore, the total work done on the load is 62100 Joules.
To determine the total work done on the load, we need to calculate the work done in lifting the load and the work done in carrying the load horizontally.
1. Work done in lifting the load:
Work = force × distance
Work = 900 N × 5 m
Work = 4500 N·m (or Joules)
2. Work done in carrying the load horizontally:
Work = force × distance
Work = 900 N × 20 m
Work = 18000 N·m (or Joules)
Therefore, the total work done on the load is:
Total work = work done in lifting + work done in carrying
Total work = 4500 N·m + 18000 N·m
Total work = 22500 N·m (or Joules)
The correct answer is 22,500 Joules.