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What is Newton's First Law of Motion?

A body at rest will remain at rest unless an outside force acts on it, and a body in motion at a constant velocity will remain in motion in a straight line unless acted upon by a net external force.

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What is Newton's First Law of Motion?

A body at rest will remain at rest unless an outside force acts on it, and a body in motion at a constant velocity will remain in motion in a straight line unless acted upon by a net external force.

What is Newton's Second Law of Motion?

If an unbalanced force acts on a body, that body will experience acceleration (or deceleration).

Define Inertia.

The tendency of an object to resist changes in its motion.

Define Net Force.

The vector sum of all forces acting on an object.

What is static friction?

Friction that occurs when surfaces are not sliding relative to each other.

What is kinetic friction?

Friction that occurs when surfaces are sliding relative to each other.

Define the coefficient of friction (μ\mu).

A unit-less constant for a given surface, representing the ratio of frictional force to normal force.

What are the differences between static and kinetic friction?

Static Friction: Prevents motion, adjusts to applied force up to a maximum value. | Kinetic Friction: Opposes motion, has a constant value while sliding.

Compare and contrast Newton's First and Second Laws of Motion.

First Law: Describes inertia and the tendency of objects to resist changes in motion. | Second Law: Quantifies the relationship between net force, mass, and acceleration (ΣF=ma\Sigma F = ma).

Steps to solve force problems?

  1. Draw a Free Body Diagram (FBD). 2. Resolve forces into x and y components. 3. Apply Newton's Second Law (ΣF=ma\Sigma F = ma) in each direction. 4. Solve for unknowns.

How to determine the net force from given position functions x(t) and y(t)?

  1. Find the velocity functions vx(t)=dxdtv_x(t) = \frac{dx}{dt} and vy(t)=dydtv_y(t) = \frac{dy}{dt}. 2. Find the acceleration functions ax(t)=dvxdta_x(t) = \frac{dv_x}{dt} and ay(t)=dvydta_y(t) = \frac{dv_y}{dt}. 3. Evaluate axa_x and aya_y at the specified time t. 4. Calculate the net acceleration a=ax2+ay2a = \sqrt{a_x^2 + a_y^2}. 5. Find the net force using F=maF = ma.