calculate the work done on a 1550kg elevator car by its cable to lift it 40 m at constant speed assuming friction average 125 n
weight = 1550 * 9.81
so force up = 1550*9.81 + 125
work = force up * 40 meters
To calculate the work done on the elevator car by its cable, we need to consider the following factors:
1. Weight of the elevator car: The weight of the elevator car is given by the formula W = m * g, where m is the mass of the car and g is the acceleration due to gravity (approximately 9.8 m/s^2).
So, W = 1550 kg * 9.8 m/s^2 = 15190 N
2. Height of the elevator car: The elevator car is lifted by the cable to a height of 40 m.
3. Frictional force: The average frictional force acting on the elevator car is given as 125 N.
Now, to calculate the work done by the cable, we need to account for both the weight of the elevator car and the force of friction.
Work done = (Weight of the elevator car + Force of friction) * Height
Let's calculate the work done:
Work done = (15190 N + 125 N) * 40 m
= 15215 N * 40 m
= 608600 J
Therefore, the work done on the elevator car by its cable to lift it 40 m at a constant speed is 608600 Joules.