← Back to CoursesNewtonian Mechanics: Intermediate

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Common Forces and Contact Interactions

Manual: General · Subject: Physics

Model gravity, normal forces, tension, friction, and springs in real systems.

Forces encountered in problems

Weight and gravity

Near Earth’s surface, the gravitational force on an object is W⃗=mg⃗\vec{W} = m\vec{g}. Its magnitude is mgmg and it points downward toward Earth’s center.

Normal force

The normal force is a contact force exerted by a surface perpendicular to the surface. Its magnitude is not always equal to mgmg; it depends on the other forces and the motion of the object.

Tension and springs

Tension is the pulling force transmitted by a rope or cable. An ideal spring obeys Hooke’s law: F⃗s=−kx⃗\vec{F}_s = -k\vec{x}, where kk is the spring constant and x⃗\vec{x} is the displacement from equilibrium.

Friction and drag

Static friction prevents slipping up to a maximum value fs≤μsNf_s \le \mu_s N. Kinetic friction opposes sliding with magnitude fk=μkNf_k = \mu_k N. Drag is a resistive force that often increases with speed, sometimes proportionally to vv or v2v^2.

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Normal force caution

The normal force is not always mgmg; it is whatever value is needed, along with other forces, to satisfy Newton’s laws.

Which force usually opposes relative sliding between surfaces?

State Hooke’s law in words.

For an object resting on a horizontal surface with no other vertical forces, the normal force is usually