Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A person lifts a package weighing 23 Kg. If she lifts it 2.8 m off the floor, what work has she done?

Sagot :

MDKPfromIDN

So, the work done by her is 631.12 J.

Introduction

Hello ! I will help you regarding energy and its transformation. In this case, it's the use of energy from the lifter to be equivalent to potential energy, because the box undergoes a change in height and the potential energy specializes at a certain height. Work (W) due to change in potential energy ([tex] \sf{\Delta PE} [/tex]) can be realized in the equation :

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

[tex] \sf{W = m \cdot g \cdot h_2 - m \cdot g \cdot h_2} [/tex]

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

With the following condition :

  • W = work (J)
  • m = mass of the objects (kg)
  • [tex] \sf{h_2} [/tex] = final height of object (m)
  • [tex] \sf{h_1} [/tex] = initial height of object (m)
  • g = acceleration of the gravity (m/s²)

Problem Solving

We know that :

  • m = mass of the objects = 23 kg
  • [tex] \sf{h_2} [/tex] = final height of object = 2.8 m
  • [tex] \sf{h_1} [/tex] = initial height of object = 0 m
  • g = acceleration of the gravity = 10 m/s²

What was asked :

  • W = work = ... J

Step by Step :

[tex] \sf{W = m \cdot g \cdot (h_2 - h_1)} [/tex]

[tex] \sf{W = 23 \cdot 9.8 \cdot (2.8 - 0)} [/tex]

[tex] \sf{W = 23 \cdot 9.8 \cdot 2.8} [/tex]

[tex] \boxed{\sf{W = 631.12 \: J}} [/tex]

So, the work done by her is 631.12 J.

See More :

  • Another example of calculating the energy required to lift an object https://brainly.com/question/26487284
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.