High School

We appreciate your visit to What distance is a book from the floor if the book contains 196 joules of potential energy and has a mass of 5 kg. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What distance is a book from the floor if the book contains 196 joules of potential energy and has a mass of 5 kg?

Answer :

The distance of the 5kg book from the floor if it possesses 196J of potential energy is 4m.

Given the data in the question;

  • Potential energy of the book, [tex]P.E = 196J[/tex]
  • Mass of the book; [tex]m = 5kg[/tex]
  • Distance of book from floor; [tex]h = ?[/tex]
  • Acceleration due to gravity; [tex]g = 9.8m/s^2[/tex]

Potential Energy is referred to as stored energy, it an energy possessed by a body based on its relative position of the components of that system.

Its is calculated using the following formula:

[tex]P.E = mgh[/tex]

where m is the mass of the object, g is the earth's gravity and h is the distance or height

Now, we substitute our given values into the equation and 'h

[tex]196J = 5kg\ *\ 9.8m/s^2\ *\ h[/tex]

we know that; 1 Joule = 1 Newton meter and 1 Newton = 1 kg⋅m/s²

Hence

[tex]196 kgm^2/s^2 = 5kg \ * 9.8m/s^2\ * \ h\\\\196 kgm^2/s^2 = 49kgm/s^2\ * \ h\\\\h = \frac{196 kgm^2/s^2}{49kgm/s^2}\\\\h = 4 m[/tex]

Therefore, the distance of the 5kg book from the floor if it possesses 196J of potential energy is 4m.

Learn more; https://brainly.com/question/7320080

Thanks for taking the time to read What distance is a book from the floor if the book contains 196 joules of potential energy and has a mass of 5 kg. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

E=mgh. 196=5kg*9.81m/s^2*h. So h=196/(5*9.81)=4m