Question

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predicting motion from a force diagram
which statements describe the book and the forces acting on it? check all that apply
the forces are balanced
the forces are unbalanced
the net force is zero
the book is at rest
the net force is to the right
the book is moving to the right

Explanation:

1. For vertical forces: \( F_N \) (normal force) and \( F_g \) (gravity) are opposite and likely equal (balanced, net force 0 in vertical).
2. For horizontal forces: \( F_p \) (applied force right) and \( F_f \) (friction left). If \( F_p > F_f \), forces are unbalanced, net force right, so the book moves right. So "The forces are unbalanced", "The net force is to the right", "The book is moving to the right" apply. Also, vertical forces are balanced (but horizontal are not, so overall forces unbalanced). Wait, re - evaluate:

• Vertical: \( F_N \) and \( F_g \) balance (net force 0 vertically).
• Horizontal: \( F_p \) (right) and \( F_f \) (left). If \( F_p \) is larger than \( F_f \), horizontal forces are unbalanced, net force right. So:
• "The forces are unbalanced" (because horizontal forces are unbalanced, even though vertical are balanced, overall forces on the object are unbalanced).
• "The net force is to the right" (since \( F_p>F_f \) horizontally, net horizontal force is right, and vertical net force is 0, so overall net force is right).
• "The book is moving to the right" (unbalanced force to the right causes motion in that direction).
• The "forces are balanced" is wrong (because horizontal forces are not balanced). "Net force is zero" is wrong (horizontal net force is non - zero). "The book is at rest" is wrong (unbalanced force means it's accelerating/moving in the direction of net force).

Answer:

The forces are unbalanced.
The net force is to the right.
The book is moving to the right.