Question

A 6. 86 N book is moved to 3 different shelves on a bookcase. The book moved from a height 1. 0 m to 1. 5 m and then finally to 3. 0 m. What is the book's mass (kg) and potential energy (J) at each of the positions on the shelf?

Answer 1

The mass at each of the levels will be the same, 0.7kg.

The Potential Energy at 1m will be 6.86J

The Potential Energy at 2m will be 13.72J

The Potential Energy at 3m will be 20.58J

What is Potential Energy?

Potential energy is the stored energy of position possessed by an object. An object can store energy as the result of its position. For example, the heavy ball of a demolition machine is storing energy when it is held at an elevated position. This stored energy of position is referred to as potential energy.

It is represented mathematically as;

PE = mgh

where m = mass of body

g = acceleration due to gravity

h = height

From the Question;

Finding the mass of the body

W = mg

where w = 6.86N

g = 9.8m/s2

Therefore;

m = W/g

m = 6.86/9.8

m = 0.7kg

Regardless of the height, the mass remains the same.

But, the potential energy changes.

Solving for PE at different positions:

Potential energy at 1m height;

PE = mgh

PE = 0.7 x 9.8 x 1

PE = 6.86J

Potential energy at 2m height;

PE = mgh

PE = 0.7 x 9.8 x 2

PE = 13.72J

Potential energy at 3m height;

PE = mgh

PE = 0.7 x 9.8 x 3

PE = 20.58J

Learn more about potential energy:https://brainly.com/question/13997830

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