A book rests on the shelf of a bookcase. The reaction force to the force of gravity acting on the book is 1. The force of the shelf holding the book up. 2. The force exerted by the book on the earth. 3. The weight of the book. 4. The frictional force between book and shelf. 5. None of these.

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janemsanc janemsanc · Answer 1 · 2020-10-26T01:24:42+01:00

Answer: the force exerted by the book on the earth

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Adetunmbiadekunle Adetunmbiadekunle · Answer 2 · 2021-10-14T13:41:28+02:00

The reaction force to the force of gravity acting on the book is:

The weight of the book

Let the reaction force be represented by R

Let the weight of the book be represented by W

Both the weight(W) and reaction (R) are in opposite directions to each other as shown in the diagram below

According to the second law of motion, the summation of all the forces is the product if the mass and acceleration

That is:

[tex]\sum F = ma[/tex]

Since the book is at rest, the acceleration, a = 0 m/s²

[tex]\sum F = 0[/tex]

[tex]W + (-R)= 0\\W = R[/tex]

Therefore, the reaction force to the force of gravity acting of the book is the weight of the book

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