1. Kepler’s Third Law (Orbital Period & Distance)
Look for:
"How long does it take to orbit?"
"Same/larger/smaller orbit"
"Proportional to distance"
Equation:
(T1T2)2=(r1r2)3(T2T1)2=(r2r1)3
2. Conservation of Momentum (Collisions, Push-Offs, Recoil)
Look for:
"Pushes off," "jumps," "separates," or "collides"
"What is the velocity of the other object?"
"Before and after motion"
Equation:
m1v1+m2v2=m1v1′+m2v2′m1v1+m2v2=m1v1′+m2v2′
3. Change in Momentum (Impulse & Reversals)
Look for:
Equation:
Δp=mvfinal−mvinitialΔp=mvfinal−mvinitial
4. Centripetal Force (Circular Motion, Tension, Maximum Speed)
Look for:
"String," "spinning," or "circular motion"
"Tension," "centripetal force," or "maximum speed"
"Radius of the circle"
Equation:
Fc=mv2rFc=rmv2
5. Orbital Velocity (Planetary Motion, Satellites, Spacecrafts)
Look for:
"Orbital speed" or "velocity of a planet/moon/satellite"
"Mass of the Sun or planet"
"Distance from the center"
Equation:
v=GMrv=rGM
6. Newton’s Law of Gravitation (Force Between Two Objects)
Look for:
"Gravitational force between two objects"
"Mass of two objects and distance apart"
"How gravity changes with distance"
Equation:
F=Gm1m2r2F=Gr2m1m2
7. Acceleration Due to Gravity on a Planet
Look for:
"Gravity on Mars, the Moon, or another planet"
"Weight of an object on a different planet"
Equation:
g=GMr2g=r2GM
8. Maximum Speed Without Slipping (Friction & Circular Motion)
Look for:
"Car driving in a circle," "turning without skidding," or "coefficient of friction"
"What is the maximum speed?"
Equation:
v=μgrv=μgr
9. Weight Conversion (Newton to Pounds & Vice Versa)
Look for:
Equation:
1 lb=4.45 N1 lb=4.45 N