WITH ANSWERS.
Kinematics Equations - Answers-
Force of Gravity Between Two Objects - Answers-Units of G = N∗m²/kg²
Kinetic Friction - Answers-
Static Friction - Answers-
Uniform Circular Motion - Velocity - Answers-Velocity vector is constantly changing and
is tangential to the circle of motion
Centripetal Acceleration - Answers-The acceleration vector always points toward the
center of the circle and constantly changes direction as the object moves.
Centripetal Force - Answers-
Torque - Answers-θ = angle between F and the lever arm. (Max force at sin90° = 1) By
convention, clockwise rotation is negative, counterclockwise rotation is positive.
Work-Energy Theorem - Answers-
Kinetic Energy - Answers-SI Unit for KE (all energy) = Joules = kg∗m²/s²
Work - Answers-θ = angle between F and the displacement vector. Only forces (or
components of forces) that are parallel or anti-parallel to the displacement vector will do
work. Max work at cos0 or cos180 = 1 or -1.
Gravitational Potential Energy - Answers-
Conservation of Energy - Answers-
Power - Answers-SI Unit for Power = Watt = J/s = Energy consumption, transfer or
transformation per unit time
Momentum - Answers-Momentum is measured in kg∗m/s
Conservation of Momentum - Answers-For elastic and inelastic collisions
Completely Inelastic Collision - Answers-
, Hooke's Law - Answers-F = restoring force, k = spring constant, x = displacement from
natural length. Larger k = stiffer spring, and larger magnitude of restoring force for a
given displacement. F is always opposite the direction of displacement.
Simple Harmonic Motion - Period/Frequency - Answers-
Simple Harmonic Motion - Angular Frequency - Mass and Spring - Answers-One
revolution = 2π radians. ω only depends on k and m, not x! Two springs with identical k
and m values will have the same ω, regardless of x.
Simple Harmonic Motion - Elastic Potential Energy of a Spring - Answers-where x is
displacement from equilibrium. Upon release, the spring will accelerate in proportion to
the restoring force and PE will be converted to KE.
Simple Harmonic Motion - Angular Frequency - Pendulum - Answers-ω only depends
on g and L, not m or θ! Two pendulums with the same length will have the same ω
regardless of m or initial θ.
Simple Harmonic Motion - Restoring Force - Pendulum - Answers-F = restoring force, m
= mass attached to pendulum, g = acceleration due to gravity, θ = angle between
pendulum arm and the vertical. F acts tangential to arc of circle. Max F and a at max θ.
Simple Harmonic Motion - Potential Energy - Pendulum - Answers-
Density - Answers-Units = kg/m³
Specific Gravity - Answers-if >1 will sink, if <1 will float in liquid water. If <1 SG = % of
object that is submerged.
Pressure - Answers-Unit = N/m² = Pascal (Pa)
Fluid (Gauge) Pressure - Answers-
Absolute Pressure - Answers-
Pascal's Law - Answers-When a change in pressure is applied to an inclosed fluid, that
pressure change will be transmitted undiminished to every portion of the fluid and to the
walls of the vessel.
Coulomb's Law - Answers-Unit = Newtons
Electric Field (w/Test Charge) - Answers-Unit = Newtons/Coulomb (or Volts/meter)
Electric Field (w/Point Charge) - Answers-Unit = Newtons/Coulomb (or Volts/meter)