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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.

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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.

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 ( $\Sigma F = ma$ ).

Steps to solve force problems?

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)?

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 $F = ma$ .

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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.

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 ( $\Sigma F = ma$ ).

Steps to solve force problems?

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)?

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 $F = ma$ .