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Frame of reference
A system for describing motion.
Speed
Distance traveled per unit of time.
Velocity
Speed with direction (a vector).
Acceleration
The rate at which velocity changes (speed, direction, or both).
Newton's 1st Law (Law of Inertia)
An object stays at rest or in uniform motion unless acted on by a net force.
Newton's 2nd Law
Acceleration increases with more force and decreases with more mass.
Newton's 3rd Law (Action-Reaction)
For every action, there is an equal and opposite reaction, acting on different objects.
Inertia
The resistance of an object to a change in motion.
Friction
A force that opposes motion; depends on surface roughness and normal force.
Mass
Amount of matter/inertia, constant everywhere.
Weight
Force of gravity, changes with location.
Gravitational force
If distance doubles, it becomes one-fourth as strong (inverse-square law).
Weight at 1 Earth radius above surface
It becomes one-fourth of what it was on the surface.
Projectile motion
Horizontal velocity stays constant; vertical velocity changes due to gravity.
Dropped ball vs. fired ball
They hit the ground at the same time (ignoring air resistance).
Path of a projectile (no air resistance)
A parabola.
Launch angle for maximum range (no air resistance)
45°.
Complementary angles
Two launch angles that give the same range (add to 90°, like 30° and 60°).
Air resistance effect on projectile motion
Decreases range and height; descent is slower than ascent.
Free fall acceleration
Objects of different mass accelerate the same (g is constant).
Terminal velocity
The maximum falling speed when drag equals weight.
Terminal velocity and mass
Heavier objects reach higher terminal velocity (need more drag to balance their weight).
Work in physics
Force applied over a distance in the direction of motion.
Work-Energy Theorem
Work done equals the change in kinetic energy.
Power
The rate of doing work (work per time).
Energy conservation in falling objects
PE decreases, KE increases, but total energy stays constant.
Mechanical energy
The sum of potential and kinetic energy.
Satellite
A fast-moving projectile that continuously falls around Earth.
Elliptical orbit speed
Speed is greatest at the closest point (perigee).
Elliptical orbit potential energy
Potential energy is greatest at the farthest point (apogee).
Total energy of a satellite in orbit
It stays constant (KE + PE conserved).
Escape velocity
The minimum speed needed to leave Earth's gravity (about 11 km/s).
Weightlessness in orbit
Astronauts feel weightless because they are in continuous free fall around Earth.
Tides on Earth
Caused by the Moon's gravity pulling differently on near and far sides of Earth.
Einstein's theory of gravity
Gravity is the warping of space-time by mass, not just a force.
Equilibrium in forces
Balanced forces, no acceleration.
Scale reading
The normal force (equal to your weight if at rest).
Rope tension
Rope transmits equal force along its length when in equilibrium.
Rocket acceleration in space
By expelling gas backward (action-reaction).
Balloon movement when nozzle released
Air pushes out one way, balloon moves opposite (Newton's 3rd Law).
Breaking different strings with pulls
Slow pull → top string breaks (supports weight). Quick pull → bottom string breaks (mass inertia resists sudden motion).
Doubling mass in Newton's 2nd Law
Acceleration is cut in half for the same force.
Doubling force on the same mass
Acceleration doubles.
Velocity change in free fall
Increases by about 10 m/s each second (on Earth).
Time of flight in projectile motion
Determined by vertical motion (not horizontal speed).
Effect of drag on falling speed
Increases drag → reduces net force → reduces acceleration → eventually reaches terminal velocity.
Conservation of energy in satellites
Total energy (KE + PE) stays constant even as KE and PE trade back and forth.
Gravitational force in elliptical orbit
Strongest at the closest point (perigee) and weakest at the farthest point (apogee).