Respuesta :

So, the value of work that he had done is 900 J.

Introduction

Hi ! Here I will discuss about the effort to raise an object. Previously, when we raised an object, the energy that we put out had to be equal to the change in potential energyHi ! Here I will discuss about the effort to raise an object. Previously, when we raised an object, the energy that we put out had to be equal to the change in potential energy that happened. This is because, the higher the height of an object, the greater value of potential energy. The equation that applies is as follows :

[tex] \sf{\bold{W = \Delta PE}} [/tex]

[tex] \boxed{\sf{\bold{W = m \times g \times \Delta h}}} [/tex] ... (i)

[tex] \boxed{\sf{\bold{W = m \times g \times (h_2 - h_1)}}} [/tex] ... (ii)

With the following condition :

  • W = work (J)
  • [tex] \sf{\Delta PE} [/tex] = potential energy (J)
  • m = mass of the object (kg)
  • g = acceleration of the gravity (m/s²)
  • [tex] \sf{\Delta h} [/tex] = change of the height (m)
  • [tex] \sf{h_1} [/tex] = initial height or position (m)
  • [tex] \sf{h_2} [/tex] = final height or position (m)

However, because the value of w (weight of the object) is already mass multiplied by gravity (w = m × g). So :

[tex] \sf{W = m \times g \times \Delta h} [/tex]

[tex] \boxed{\sf{\bold{W = w \times \Delta h)}}} [/tex]

With the following condition :

  • W = work (J)
  • w = weight of the object (N)
  • m = mass of the object (kg)
  • g = acceleration of the gravity (m/s²)

Problem Solving :

We know that :

  • w = weight of the object = 600 N >> See the words "two 300 N object".
  • [tex] \sf{\Delta h} [/tex] = change of the height = 1.5 m

What was asked :

  • W = work = ... J

Step by step :

[tex] \sf{W = w \times \Delta h} [/tex]

[tex] \sf{W = 600 \times 1.5} [/tex]

[tex] \boxed{\sf{W = 900 \: J}} [/tex]

Conclusion :

So, the value of work that he had done is 900 J.

See More :

  • Converting work to potential energy https://brainly.com/question/26487284