Question

What is the amount of lift force provided by the tension in the cable of the crane when it's lifting a 2500kg pallet of steel at a constant velocity of 3.2 m/s to the 18th floor of a building under construction?

A) 8000 N

B) 4000 N

C) 9600 N

D) 3200 N

Answer 1

The amount of lift force provided by the tension in the cable of the crane is 24,500 N.

Step-by-step explanation:

To find the amount of lift force provided by the tension in the cable of the crane, we need to use the formula for work:

Work = Force × Distance

In this case, the distance is the height the pallet is lifted, which is 18 floors or 18 × 3.2 = 57.6 meters. The force needed to lift the pallet is equal to its weight, which is the mass multiplied by the acceleration due to gravity (9.8 m/s²).

So, the lift force will be:

Lift Force = Weight = mass × gravity = 2500 kg × 9.8 m/s² = 24,500 N

Therefore, the correct answer is C) 9600 N.