A student presses a 0.5 kg book against the wall. If the μs between the book and the wall is 0.2

step 1 In this problem we have given a student passes a 0 .5 kg book, mass of book is given, 0 .5 kg. A

A student presses a 0.5 kg book against the wall. If the μs...

A student presses a 0.5 $\mathrm{kg}$ book against the wall. If the $\mu_{\mathrm{s}}$ between the book and the wall is $0.2,$ what force must the student apply to hold the book in place?
(A) 0 $\mathrm{N}$
(B) 15 $\mathrm{N}$
(C) 25 $\mathrm{N}$
(D) 35 $\mathrm{N}$

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Key Concepts

Equilibrium

Equilibrium refers to the state where all the forces acting on an object balance each other, resulting in no net force and no acceleration. In static situations, such as holding an object in place, the upward forces must exactly counterbalance the downward forces to maintain equilibrium.

Normal Force

Normal force is the force exerted by a surface that acts perpendicular to that surface. It arises as a reaction to an object pressing against it and is a key component in determining the maximum static friction force available between the object and the surface.

Static Friction

Static friction is the force that resists the initiation of sliding motion between two surfaces in contact. It acts up to a maximum value, which is determined by the product of the coefficient of static friction and the normal force, and prevents objects from moving when a tangential force is applied.

Coefficient of Static Friction

The coefficient of static friction is a dimensionless number that characterizes the frictional interaction between two surfaces. It defines the ratio of the maximum static frictional force to the normal force, indicating how easily one surface can slide over the other in the absence of movement.

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