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Label the forces in the following Free Body Diagram of a box at rest on a surface.

1: FgF_g (Gravitational Force/Weight) acting downwards, 2: FnF_n (Normal Force) acting upwards.

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Label the forces in the following Free Body Diagram of a box at rest on a surface.
1: $F_g$ (Gravitational Force/Weight) acting downwards, 2: $F_n$ (Normal Force) acting upwards.
Label the forces in the following Free Body Diagram of a block being pulled with an applied force at an angle.
1: $F_{app}$ (Applied Force) at an angle, 2: $F_g$ (Gravitational Force/Weight) down, 3: $F_n$ (Normal Force) up, 4: $f_s$ (Static Friction) or $f_k$ (Kinetic Friction) opposite the direction of motion.
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 ($\Sigma F = ma$) 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 $v_x(t) = \frac{dx}{dt}$ and $v_y(t) = \frac{dy}{dt}$. 2. Find the acceleration functions $a_x(t) = \frac{dv_x}{dt}$ and $a_y(t) = \frac{dv_y}{dt}$. 3. Evaluate $a_x$ and $a_y$ at the specified time t. 4. Calculate the net acceleration $a = \sqrt{a_x^2 + a_y^2}$. 5. Find the net force using $F = ma$.
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 ($\mu$).
A unit-less constant for a given surface, representing the ratio of frictional force to normal force.