In 2.0 minutes, a ski lift raises 4 skiers at constant speed to a height of 170 m. The average mass of each skier is 65 kg. What is the average power provided by the tension in the cable pulling the lift?

Well, you see, the power provided by the tension in the cable pulling the ski lift is like the fuel of a joke. Let's calculate it like a funny math problem, shall we?

So, the work done by the tension in the cable is equal to the change in potential energy of the skiers. And the formula for work done is given by:

Work = Force x Distance

Now, the force here is the weight of the skiers, which is their mass multiplied by the acceleration due to gravity (9.8 m/s^2). The distance is the height lifted, which is 170 m. We have 4 skiers, but we need to calculate the average power. So, let's set up the equation:

Work = Force x Distance
Work = (4 x 65 kg x 9.8 m/s^2) x 170 m

Now, power is defined as the work done divided by the time taken. Since 2.0 minutes is given, we need to convert it to seconds. There are 60 seconds in a minute, so 2.0 minutes is equal to 120 seconds.

Average Power = Work / Time
Average Power = [(4 x 65 kg x 9.8 m/s^2) x 170 m] / 120 s

Now, let's plug in the numbers and calculate the answer:

(4 x 65 kg x 9.8 m/s^2) x 170 m = 421360 J
421360 J / 120 s = 3511.33 W

So, the average power provided by the tension in the cable pulling the lift is approximately 3511.33 Watts. And that's an electrically good punchline for this problem!

To find the average power provided by the tension in the cable pulling the lift, we can use the formula:

Power = Work/Time

First, let's find the work done by the tension in the cable. The work done is given by the formula:

Work = Force * Distance

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

Force = Mass * Acceleration

Since the skiers are being lifted at a constant speed, the acceleration is zero. Therefore, the force exerted by the tension in the cable is:

Force = Mass * 0 = 0

Since the force is zero, the work done is also zero.

Now, let's find the time it takes for the skiers to be lifted. The problem states that it takes 2.0 minutes, which is 2.0 * 60 = 120 seconds.

Finally, we can calculate the average power:

Power = Work / Time = 0 / 120 = 0 watts

Therefore, the average power provided by the tension in the cable pulling the lift is 0 watts.

To find the average power provided by the tension in the cable pulling the lift, we can use the formula:

Power = (Work Done) / (Time)

First, let's calculate the work done by the tension in the cable. Work is defined as the force applied in the direction of motion multiplied by the distance traveled. In this case, the force applied by the tension in the cable is equal to the weight of the skiers. The weight is given by the formula:

Weight = Mass x Gravity

Where the mass is the average mass of each skier (65 kg) and gravity is the acceleration due to gravity (9.8 m/s^2).

Weight = 65 kg x 9.8 m/s^2
= 637 N

Now, we can calculate the work done by the tension in the cable. The work done is equal to the force applied (weight) multiplied by the distance traveled (height):

Work Done = Weight x Distance Traveled
= 637 N x 170 m
= 108290 J

Next, we can calculate the average power provided by the tension in the cable using the formula mentioned earlier:

Power = Work Done / Time
= 108290 J / 2 min (converted to seconds)
= 108290 J / (2 min x 60 s/min)
= 902.42 W

Therefore, the average power provided by the tension in the cable pulling the lift is approximately 902.42 Watts.

P=w/t

P=91000/1200
P=758.3w