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What is friction?
A force that opposes motion between surfaces in contact
When does kinetic friction occur?
When one or both surfaces are sliding
What is the formula for kinetic friction?
f_k = \mu_kF_N
What does \mu_k represent?
The coefficient of kinetic friction
When does static friction occur?
When the surfaces are not moving relative to each other
What is the inequality that defines static friction?
f_s \le \mu_sF_N
When is static friction at its maximum value?
Right before sliding begins: f_{s}=\mu_{s}F_{N}
How do you decide which type of friction to use?
If the object isn’t moving, use static friction; use kinetic friction only once sliding begins
What direction does friction act?
Opposite the direction of actual or intended motion
What is drag force?
A force that opposes the motion of an object moving through a fluid
What does drag force always do?
It resists motion; it always acts opposite to the direction of motion
What is the formula for drag force for larger or fast-moving objects?
F_D = ½ C\rho A v²
What does each variable in the drag force formula represent?
C: drag coefficient
ρ: fluid density
A: cross-sectional area facing the fluid
v: velocity of the object
When is the drag force formula less accurate?
For very small objects, slow motion, or dense/viscous fluids (like oil or honey)
What is terminal velocity?
The constant speed when F_D = mg, so net force = 0 and acceleration stops
What happens to acceleration at terminal velocity?
Acceleration becomes zero; the object falls at constant speed
What is Stokes’ Law used for?
Small objects moving through highly viscous fluids
What is the formula for Stokes’ Law?
F_S = 6\pi r \eta v
What does each variable in Stokes’ Law represent?
r: radius of the object
η: fluid viscosity
v: velocity of the object
What is the key difference between the drag force formula and Stokes’ Law?
The drag force formula F_D = \frac{1}{2} C \rho A v^2 applies to large, fast-moving objects in fluids like air
Stokes’ Law F_S = 6 \pi r \eta v applies to small, slow-moving objects in highly viscous fluids