A block of weight 5 N is pushed against a vertical wall by a force 12 N. The coefficient of fr

step 1 So let's draw a free body diagram for this mass. Mass here going straight up would be the fricti

A block of weight 5 N is pushed against a vertical wall by...

A block of weight $5 \mathrm{~N}$ is pushed against a vertical wall by a force $12 \mathrm{~N}$. The coefficient of friction between the wall and block is $0.6$. The magnitude of the force exerted by the wall on the block is (a) $12 \mathrm{~N}$ (b) $5 \mathrm{~N}$ (c) $7.2 \mathrm{~N}$ (d) $13 \mathrm{~N}$

A block of weight $5 \mathrm{~N}$ is pushed against a vertical wall by a force $12 \mathrm{~N}$. The coefficient of friction between the wall and block is $0.6$. The magnitude of the force exerted by the wall on the block is
(a) $12 \mathrm{~N}$
(b) $5 \mathrm{~N}$
(c) $7.2 \mathrm{~N}$
(d) $13 \mathrm{~N}$

Key Concepts

Equilibrium Conditions

Equilibrium refers to the state in which all forces and moments acting on an object balance each other, resulting in no net motion. In problems involving static friction and normal forces, the condition of equilibrium ensures that the sum of the vertical and horizontal components of the forces are zero, maintaining the object's stationary state.

Vector Addition of Forces

In mechanics, forces acting at different angles must be combined using vector addition to determine the net force on an object. This process involves decomposing forces into components and then using the Pythagorean theorem or similar methods to calculate the magnitude and direction of the resultant force.

Normal Force

The normal force is the perpendicular force exerted by a surface on an object that is in contact with it. In problems involving contact forces, the magnitude of the normal force often directly influences other forces such as friction, as it is the force that the surface uses to push back against the object applying the load.

Friction Force

Friction is the force that resists the relative motion of two surfaces in contact. When a block is pressed against a wall, friction acts parallel to the surface and its maximum value is determined by the product of the normal force and the coefficient of friction. This frictional force can help counteract gravitational or other forces acting on the object.

Coefficient of Friction

The coefficient of friction is a dimensionless value that represents the ratio between the frictional force and the normal force. It quantifies how much frictional force can be generated for a given normal force and is a key factor in determining whether an object will slide along a surface or remain stationary.

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