Work = Force × Displacement × Cosθ
where:
Work is the work done in joules (J)
Force is the force applied in newtons (N)
Displacement is the distance moved in meters (m)
θ is the angle between the force and displacement.
In this case, the force required to lift the beam is equal to the weight of the beam, which can be calculated using the formula:
Weight = Mass × Gravity
where:
Weight is the weight of the beam in newtons (N)
Mass is the mass of the beam in kilograms (kg)
Gravity is the acceleration due to gravity (approximately 9.8 m/s²)
Given the mass of the beam as 1600 kg, we can calculate the weight:
Weight = Mass × Gravity
Weight = 1600 kg × 9.8 m/s²
Weight = 15,680 N
Now, we can calculate the work done to lift the beam 290 m:
Work = Force × Displacement × Cosθ
Work = 15,680 N × 290 m × Cos0°
Work = 4,541,200 J
Therefore, the work required to lift the beam 290 m is 4,541,200 J.
