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Friction force
Parallel force component of an object at rest or sliding, always opposes the direction of an objects motion
Kinetic friction
Friction acting on an object in motion
How does the coefficient of friction relate to friction force?
Smaller coefficient of friction = less friction = more slippery surface
Static friction
Friction acting when an object isn’t moving, or when the friction force is greater than the applied force
Critical point
The point where applied force > max static friction
How do static and kinetic friction coefficients compare?
coefficient of static > coefficient of kinetic because it is harder to get an object moving than it is to keep an object moving
Fluid resistance
Force that a fluid (gas or liquid) exerts on an object moving through it
Direction of fluid resistance
Opposite direction of object’s velocity relative to fluid
What traits does drag depend on?
Shape and size of object (surface area) and air density
Direction of radial acceleration in circular motion
Points towards the center
Direction of net force in circular motion
Points towards the center
Direction of velocity in circular motion
Tangential to object’s path
What force balances an airplane’s weight?
Lift (L)
Why do planes take banked turns?
So that the lift force has a horizontal component
Work
Force applied to an object that undergoes a displacement (change in position)
What is the SI unit for work?
Joule (J)
Is work scalar or vector?
Scalar
When is work positive?
When the force is acting in the same direction as displacement
When is work negative?
When the force is acting in the opposite direction of displacement
When is there no work?
When force is perpendicular to displacement
Traits of kinetic energy
Scalar
Cannot be negative
Only zero when object is at rest
Work-Kinetic Energy Theorem
Wtot = Delta(K) = change in kinetic energy
What is the SI unit for energy?
Joule (J)
Kinetic energy
The total work done to accelerate an object from rest to its present speed
Hooke’s Law
Fx = kx (k = spring constant, x = distance), the force required to stretch a spring
Potential energy
Energy associated with position
What is the total mechanical energy of a system composed of?
Kinetic Energy + Potential Energy
Elastic potential energy
Process of storing energy in a deformable object
Elastic object
Object that returns to its original shape and size after being deformed
Elastic potential energy
Uel = 1/2(k)(x²)
Conservative force
A force that offers two-way conversion between KE and PE, work is reversible
Properties of work done by conservative forces
Can be expressed as change in potential energy
Reversible
Independent of path
Work = zero when start point and end point are the same
When is total mechanical energy constant?
When only conservative forces do work
Internal energy
Energy associated with the change in state of materials of a system
Point of unstable equilibrium in PE graph
Local/global max - point when object has most PE
Point of neutral equilibrium in PE graph
Range of x where PE is constant
Point of stable equilibrium in PE graph
Local/global min where PE is lowest
Power
Time rate at which work is done
Is power scalar or vector?
Scalar
Average Power
Change in work / change in time
SI unit for power
watt (W)
Momentum
Time rate of change of the product of object’s mass and velocity
Is momentum scalar or vector?
Vector
SI unit for momentum
kg * m/s
Impulse
Product of net external force and time interval
SI unit for impulse
N*s
Impulse-momentum theorem
Impulse = change in momentum
Isolated system
System with no external forces
Collision
Strong interaction between objects that lasts a relatively short time, momentum is conserved
Elastic collision
Collision where no mechanical energy is gained or lost
Inelastic collision
Collision where the final kinetic energy differs from initial kinetic energy
Two types of inelastic collisions
Collision where objects stick to each other
Collision where objects experience deformation
Completely inelastic collision
Collision where objects stick to each other
Center of mass
Mass-weighted average position of particles
What propels rockets forward?
Rearward ejection of burned fuel
Can Newton’s second law apply to rockets?
No, because the mass of the rocket decreases as fuel is ejected
Linear vs Angular velocity
If an object has linear velo, whole object is moving along an axis
If an object has angular velo, object is rotating around an object
How does linear speed depend on radius?
Linear speed increases as you get farther away from axis
Circular Orbit
Closed orbit where only force acting on object is earth’s gravitational attraction
What happens as orbital radius increases?
Total mech energy increases
Potential energy increases
Kinetic energy decreases