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Projectile Motion
Motion in two dimensions with a vertical and horizontal component.
Trajectory of a Projectile
Parabolic path of a projectile in motion.
Horizontal Velocity of a Projectile
Constant velocity in projectile motion.
Resultant
Combination of vertical and horizontal components in two-dimensional motion.
Newton's First Law of Motion
An object at rest remains at rest, and an object in motion continues in motion with constant velocity, unless acted upon by an external force.
Inertia
The tendency of an object not to accelerate or resist change.
Force
An action exerted on an object which may change the object's state of rest or motion.
Unit of Force
Newton (N), defined as the force required to accelerate a one kg mass 1 m/sec squared.
Equilibrium
State of an object at rest or moving with constant velocity where net force is zero.
Newton's Second Law of Motion
The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Net Force Equation
Net Force = mass x acceleration.
Newton's Third Law of Motion
For every action, there is an equal and opposite reaction.
Weight
Mass of an object times the acceleration due to gravity; a force that depends on location.
Normal Force
The force that acts perpendicular to an object.
Friction
A restrictive force that keeps an object from moving.
Static Friction
Friction that is equal to and opposite in direction to the applied force when the object is not moving.
Kinetic Friction
The frictional force acting on an object in motion.
Coefficient of Friction
The ratio of the force of friction to the normal force.
Work
The product of the force applied in the direction of displacement and the amount of displacement.
Work Equation
Work = force x displacement x cosine of the angle between them.
Unit of Work
Measured in newton meters, which is a Joule (J).
Kinetic Energy
The energy of an object in motion, calculated as KE = ½ mass x velocity squared.
Work-Kinetic Energy Theorem
The net work done on a body equals its change in kinetic energy.
Power
The rate at which work is done or energy is transferred.
Power Equation
Power = Work/time, measured in Joules/seconds or Watts.
Gravitational Potential Energy
Energy of an object at rest, calculated as PE = mgh.
Elastic Potential Energy
Energy available for use when a deformed elastic object returns to its original shape, calculated as EPE = (1/2) x spring constant x distance squared.
Impulse-Momentum Theorem
Force x time interval = change in momentum.
Momentum
Defined as the product of mass and velocity, represented by the symbol p.
Momentum Units
SI units are kilogram-meters per second.
Conservation of Momentum
The amount of momentum always remains the same.
Perfectly Inelastic Collision
Occurs when two objects collide and move together as one mass.
Kinetic Energy in Perfectly Inelastic Collision
Not conserved; some kinetic energy is changed to heat energy, sound energy, etc.
Elastic Collision
Two objects collide and return to their original shape, with no loss in kinetic energy.
Most Collisions
Are neither elastic nor perfectly inelastic.
Tangential Speed
Speed of an object along an imaginary line drawn tangent to its circular path.
Tangential Acceleration
Acceleration due to change in speed of an object moving in a circular path.
Centripetal Acceleration
Acceleration directed towards the center of the circular path.
Centripetal Force
Force directed towards the center of the circular path.
Gravitational Force
The force of attraction between two objects.
Orbital Velocity
Velocity of a satellite moving at the same velocity as the planet it orbits.
Newton's Law of Universal Gravitation
Describes the gravitational force between two masses.
Gravitational Field
A field force that does not require contact between two masses.
Torque
Measures the ability of a force to rotate an object around an axis.
Lever Arm
Perpendicular distance from the axis of rotation to a line drawn along the direction of the force.
Unit for Torque
Newton Meter.
Efficiency of a Machine
Ratio of Work(output) to Work(input).
Kepler's 1st Law
Each planet orbits around the sun in an elliptical orbit.
Kepler's 2nd Law
An imaginary line drawn from the sun to any planet sweeps out equal areas in equal time intervals.
Kepler's 3rd Law
The square of a planet's orbital period is proportional to the cube of the average distance between the planet and the sun.
Uniform Circular Motion
When an object rotates around a fixed point with a constant speed.
Net Force in Circular Motion
Directed towards the center of the circle, called centripetal force.