A 1100-kg elevator is lifted at a constant speed of 1.5 m/s through a height of 20 m.

a)How much work is done by the tension in the elevator cable?How much work is done by gravity?

b)How much work is done by gravity?

a) work=tension*distance=1100*9.8*20

b) by gravity, the negative of that

a) To calculate the work done by the tension in the elevator cable, we need to use the formula:

Work = Force * Distance

The force exerted by the tension in the elevator cable can be calculated using Newton's second law:

Force = Mass * Acceleration

Since the elevator is lifted at a constant speed, the acceleration is zero. Therefore, the force exerted by the tension in the elevator cable is equal to the weight of the elevator:

Force = Mass * Acceleration = 1100 kg * 9.8 m/s^2 = 10780 N

Now, we can calculate the work done:

Work = Force * Distance = 10780 N * 20 m = 215,600 J

The work done by the tension in the elevator cable is 215,600 Joules.

The work done by gravity can be calculated using the formula:

Work = Force * Distance

The force of gravity can be calculated using:

Force = Mass * Acceleration due to gravity

Force = 1100 kg * 9.8 m/s^2 = 10780 N

The work done by gravity can be calculated as:

Work = Force * Distance = 10780 N * 20 m = 215,600 J

The work done by gravity is also 215,600 Joules.

b) The work done by gravity was already calculated in part a. The work done by gravity is 215,600 J.

To answer these questions, we need to understand the concept of work and its formula.

The work done on an object is equal to the force applied on the object multiplied by the distance the object is moved in the direction of the force. Mathematically, work can be expressed as:

Work = Force x Distance

Now, let's analyze each part of the question:

a) How much work is done by the tension in the elevator cable?

In this case, the elevator is lifted at a constant speed, meaning there is no acceleration. When the elevator is lifted, the tension in the cable counteracts the force of gravity acting on the elevator, resulting in the upward force needed to lift the elevator.

To find the work done by the tension in the elevator cable, we need to determine the force exerted by the cable. This force can be calculated using Newton's second law, which states that the net force on an object is equal to its mass multiplied by its acceleration. Since the elevator is moving at a constant speed, the net force is zero.

Net Force = 0

Since the force applied by the tension in the cable is equal and opposite to the force of gravity on the elevator, we can say that the work done by the tension in the elevator cable is equal to the work done against gravity.

To find the work done by gravity, we can use the equation mentioned earlier:

Work = Force x Distance

Force = Weight = mass x gravitational acceleration

The weight of the elevator can be calculated using this formula:

Weight = mass x gravitational acceleration

Once we find the force of gravity, we can plug it into the work equation along with the distance the elevator is lifted to find the work done by gravity.

b) How much work is done by gravity?

As mentioned above, the work done by gravity can be found using the equation:

Work = Force x Distance

We have already determined that the force of gravity is equal to the weight of the elevator, which can be calculated using the formula:

Weight = mass x gravitational acceleration

Once we know the weight, we can multiply it by the distance the elevator is lifted to calculate the work done by gravity.

By applying these steps, you can find the answers to both parts (a) and (b) of the question.