Answer :

Final answer:

To find the height of the shelf, we need to use the formula for potential energy, which is mgh, and then isolate h by dividing the potential energy by the product of the mass and gravity. Substituting the given values gives us the height.

Explanation:

The problem here is to find out the height of the shelf where the book is placed. Given that the book has potential energy of 187 Joules and a mass of 3 kg. The formula for potential energy stored in a mass lifted a height, h, above some reference in the presence of gravity is given by mgh, where m is the mass, g is the acceleration due to gravity (usually 9.8 m/s²), and h is the height above the ground.

By using this formula, we can isolate h (height) by dividing the potential energy by the product of mass and gravity. This can be written as: h = Potential Energy / (mass * gravity).

Substituting the given values: h = 187 J / (3 kg * 9.8 m/s²). After calculating, we get the height of the shelf.

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