Final answer:
The work done by the lifting force to raise a 1000 kg construction beam to a height of 50 m is 490 kilojoules, calculated using the weight of the beam and the height it was lifted to.
Step-by-step explanation:
The student has asked about the work done by a lifting force to raise a construction beam to a certain height. Assuming the acceleration due to gravity is 9.8 m/s2, the work done on the beam can be calculated using the formula work = force × distance, where force is the weight of the object and the distance is the height it was lifted to. For a mass of 1000 kg lifted to a height of 50 m:
- First, calculate the weight (force of gravity) by using the formula: weight = mass × gravity. Weight = 1000 kg × 9.8 m/s2 = 9800 N.
- Next, calculate the work done using the formula: work = force × distance. Work = 9800 N × 50 m = 490,000 J (joules).
- Convert joules to kilojoules by dividing by 1000. So, 490,000 J = 490 kJ.
Therefore, the lifting force does 490 kilojoules of work to lift the beam.