A cable lifts a 1370 kg elevator at a constant velocity for a distance of 42 m. What is the work done by the elevator's weight?
The elevator weight is actually gravity. Gravity does - mass*g*height of work on the object.
To calculate the work done by the elevator's weight, we need to use the formula:
Work = Force * Distance
In this case, the force acting on the elevator is its weight, which is given by the formula:
Weight = mass * acceleration due to gravity
Given:
Mass of the elevator (m) = 1370 kg
Height or Distance lifted (d) = 42 m
First, calculate the force acting on the elevator using the formula for weight:
Weight = mass * acceleration due to gravity
Weight = 1370 kg * 9.8 m/s^2 (standard acceleration due to gravity)
Weight = 13426 N (rounded to 4 significant figures)
Now, we can calculate the work done:
Work = Force * Distance
Work = 13426 N * 42 m
Work = 563892 J (rounded to 4 significant figures)
Therefore, the work done by the elevator's weight is 563892 Joules.