The mass of a bucket full of water is 15 Kg. It is being pulled up from a 15m deep well. Due to a hole in bucket 6 Kg of water flows out. Find the work done in pulling it out of the well.,

Respuesta :

Solution:
workdone = change in potential energy 
W = Force times distance

= ( m -dm)g • ( x)
= mgx -(dm(gx))
= (15 × 10 × 15) -(6/15 gx.dx)
=2250 - (6/15 x10x 225/2)
=2250 -  (3 x 15x 10)
= 2250 - 450
= 1800 Joule
The answer is  1800 Joules.

The work done in pulling a bucket full of water with a weight of 15 kg that lost 6 kg of it from the hole from a well 15 m deep is 1350 Joules

Further Explanation;

Work done

  • Work done refers to the measure of energy when a body is moved by a force through a certain distance.
  • Work done is therefore equivalent to energy transferred.
  • Work done is given by the product of force acting on an object and distance moved by the object.
  • Therefore; Work done = Force × distance
  • Force refer to a pull or a push and is measured in Newtons, N.
  • Distance is measured in meters, m.

Thus; Work done is measured in Joules, J, or Nm

In this case;

Mass of the bucket is 15 Kg

However, 6 kg of water flew out due to the whole, therefore the remaining mass is 9 kg.

Force or Weight = Mass (kg) × 10 N/kg

Therefore;

Force = 90 Newtons

Distance = 15 m

Therefore;

Work done = 90 N × 15 m

                  = 1350 Joules

Hence; Work done pulling out the bucket from the well is 1350 Joules.

Key words: Work done, Force, Distance

Learn more about;

  • Work done; https://brainly.com/question/12029835
  • Force: https://brainly.com/question/11368524
  • Example of work done: https://brainly.com/question/12029835

Level: High school

Subject: Physics

Topic: Work, power and simple machines