High School

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

Answer :

The distance a book with 196 joules of potential energy and a mass of 5kg from the floor can be determined using the gravitational potential energy formula. By rearranging this formula, it is found that the book is 4 meters above the floor.

To calculate the distance a book is from the floor given its potential energy and mass, we can use the formula for gravitational potential energy:

Potential Energy (PE) = mass (m) × gravity (g) × height (h)

We know that the potential energy is 196 joules, the mass of the book is 5 kg, and the acceleration due to gravity (g) is approximately 9.8 m/s². Let's rearrange the formula to solve for height (h).

h = PE / (m × g)

Substituting the given values:

h = 196 J / (5 kg × 9.8 m/s²)

h = 196 / 49

h = 4 meters

Therefore, the book is 4 meters above the floor.

196 Joules =
(5Kg)(9.8 m/s2)(h)



(196 Joules /(5Kg)(9.8
m/s2) = h



196 Joules / 49 = h

h = 4 meters

Hope this helped!!!!