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# MCAT Physics Ch 1

### MCAT Physics

Vector physical quantity that has both magnitude and direction. Ex: Displacement, velocity, accel., force
Scalar Quantity without direction. Ex: Speed, coeff. of friction
Note about multiplying a vector by a scalar This changes the magnitude and may reverse the direction
Dot Product Product of the vectors' magnitudes and the cosine of the angle between them.
Note About Multiplying Two Vectors Using The Dot Product This results in a scalar quantity
Cross Product Product of the vectors' magnitudes and the sin of the angle between them
Note About Multiplying Two Vectors Using The Cross Product This results in a vector quantity
Displacement Vector rep. of change in position
Distance Scalar quantity that reflects the path traveled.
Velocity Vector representation of the change in displacement with respect to time.
Average Velocity Total displacement divided by the total time.
Instantaneous Velocity Limit of the change in displacement over time as the change in time approaches zero.
Instantaneous Speed Mag. of instantaneous velocity vector.
Force Push or pull that has the potential to result in an accel.
Gravity Attractive force between two objects as a result of their masses
Friction A force that opposses motino as a function of electrostatic interactions at the surface between two objects
Static friction Friction between two objects that are not in motion relative to one another.
Kinetic Friction Friction between two objects that are in motion relative to each other
Coefficient of friction Depends on the two materials in contact. Coefficient of static friction is always higher than the coefficient of kinetic friction.
Mass Measure of inertia of an object (amount of material)
Weight Force experienced by a given mass due to grav. accel to Earth
Acceleration Vector rep. of change in velocity over time. Avg or inst. accel can be considered similar to velocity
Newton's First Law / Law Of Inertia An object will remain at rest or move with a constant velocity if there is not net force on the object
Newton's Second Law Any accel. is the result of the sum of the forces acting on the object and its mass.
Newton's Third Law Any two objects interacting with one another experience equal and opp. forces as a result of their interaction.
Linear Motion Free fall and motion in which vel. and accel. vectors are parallel or antiparallel
Projectile Motion Has an x and y component. Without air resistance, only force acting on an object is gravity.
Inclined Plane Ex of 2D movement.
Circular Motion motion with radial and tangential dimensions
Uniform Circular Motion Centripetal force that points radially inward. NOTE: Inst. Vel. Vector always points tangentially
Free Body Diagrams Rep's of forces acting on an object that are used for equilibrium and dynamics problems.
Translational Equilibrium Equilibrium of an object without any net forces acting upon it. The object has a constant velocity, and may or may not be in rotational equilibrium.
Rotational Equilibrium Equilibrium of an object without any torques acting upon it. An object with rotational equilibrium has a constant angular velocity which is usually zero.
Component Vectors X = vcos(angle), Y = vsin(angle)
Pythagorean Theorem X^2 + Y^2 = V^2 OR V = Sqr (X^2 + Y^2)
Determination of Direction From Component Vectors Angle = Tan-1 Y/X
Dot Product A*B = |A|*|B| * cos(angle)
Cross Product AXB = |A| |B| * sin(angle)
Instantaneous Velocity v = lim t --> 0 Delta x / Delta t
Avg Velocity V = Del. x / Del. t
Universal Grav Equation Fg = Gm1m2 / r^2
Static Friction 0 <= fs <= usN
Kinetic Friction fk = uKN
Force Of Gravity (weight on Earth) Fg = mg
Center of mass x = m1x1 + m2x2 ... / m1 + m2 ...
Avg Acceleration a = Del. v / Del. t
Instantaneous Accel a = lim (t-->0) Del. v / Del. t
Newton's First Law Fnet = ma = 0
Newton's Second Law Fnet = ma
Newton's Third Law FAB = -FBA
Kinematics (no displacement) v = v0 + at
Kinematics (no final velocity) x = v0t + at^2/2
Kinematics (no time) v^2 = v0^2 + 2ax
Kinematics (no accel) x = vt
Components of Gravity On An Inclined Plane Fg para. = mg*sin(angle), Fg perp. = mg*cos(angle)
Centripetal Force Fc = mv^2 / r
Torque T = r x F = rF * sin(angle)
Created by: SamB91