Mark's physics book is on the desk. Mark pushes horizontally (from the side) on the book, but the book does not move.

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Mark's physics book is on the desk. Mark pushes horizontally (from the side) on the book, but the book does not move.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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1 Attachment
its either diagram b or c
from b and c which picture shows the same length for all the arrows

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The book is sitting on the table and is not going up or down. That means vertical forces are in equilibrium. Since the book has mass, and therefore some weight, there must be a force down that is balanced by a force up. in diagram D, the down force is greater than the up force. Then book in D will accelerate in the down direction. Eliminate D.
Now you have diagrams A, B, and C left. In diagram A, there are no horizontal forces applied. That contradicts the statement of the problem. In diagram B, the horizontal forces are in equilibrium. The book does not move horizontally. In diagram C, the force pushing to the right is greater than the force pushing to the left. This book will accelerate to the right. Which diagram, A, B, or C shows the situation in the statement of the problem?

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