A man lifts a 21.1 kg bucket from a well and does 3.1 kJ of work. How deep is the well? Assume that the man lifts the bucket at constant speed. Answer in units of m.

Question

A man lifts a 21.1 kg bucket from a well and does 3.1 kJ of work. How deep is the well? Assume that the man lifts the bucket at constant speed. Answer in units of m.

I am not sure if I did this right:

(mg)(d)= Wnet

(21.1 kg)(9.81)(d)= 3100J
d= 14.98 meters

Answer 1

yes

m g h = 3,100
21.1 * 9.8 * h = 3,100
h = about 15 meters up

Answer 2

I am Student

Answer 3

If a man lifts a 13.0 kg bucket from a well and does 5.00 kJ of work, how deep is the well? Assume that the speed of the bucket remains constant as it is lifted.

Answer 4

Well, well, well, let's see if I can lift your spirits by solving this problem with a touch of humor.

To find the depth of the well, we need to calculate the work done, which is equal to the gravitational potential energy. But don't you worry, I won't let the weight of the situation weigh us down!

Using the formula W = mgh, where W is the work done, m is the mass of the bucket, g is the acceleration due to gravity, and h is the height or depth of the well, we can rearrange the equation to solve for h:

h = W / (mg)

Now, plugging in the given values, we get:

h = 3.1 kJ / (21.1 kg * 9.81 m/s²)

Calculating the answer, we've got:

h ≈ 0.01497 km

But since we need to answer in meters, let's convert that to the metric system - voila!

h ≈ 14.97 meters

So, it seems the depth of the well is approximately 14.97 meters. Now that's what I call quite a deep dive for a bucket!

Answer 5

To solve this problem, you applied the work-energy principle. Let's go through the steps to verify if your calculation is correct.

The work-energy principle states that the net work done on an object is equal to the change in its kinetic energy. In this case, the bucket is lifted at a constant speed, so there is no change in its kinetic energy. Therefore, the net work done on the bucket is equal to the work done against gravity.

The formula for calculating work done against gravity is: W = mgd, where m is the mass of the object, g is the acceleration due to gravity, and d is the distance the object is lifted.

Substituting the given values into the formula:
W = (21.1 kg)(9.81 m/s^2)(d) = 3100 J

To find the depth of the well, we rearrange the formula to solve for d:
d = W / (mg) = 3100 J / (21.1 kg)(9.81 m/s^2)

Performing the calculation:
d ≈ 14.98 m

So your calculation is correct. The depth of the well is approximately 14.98 meters.