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This cheat sheet connects physics ideas to sports, walking, biking, jumping, throwing, and other everyday motions. Students need it because the same simple rules explain why balls curve, runners speed up, skaters glide, and helmets protect heads. It gives quick formulas and reminders for solving motion, force, energy, and momentum problems.

The focus is on clear relationships that help students choose the right equation and explain what is happening.

Key Facts

  • Average speed is found with v=dtv = \frac{d}{t}, where dd is distance and tt is time.
  • Acceleration measures change in velocity and is found with a=ΔvΔta = \frac{\Delta v}{\Delta t}.
  • Newton's second law is Fnet=maF_{\text{net}} = ma, so a larger net force gives a larger acceleration for the same mass.
  • Weight is the force of gravity on an object and is found with Fg=mgF_g = mg, where g9.8 m/s2g \approx 9.8\ \text{m/s}^2 on Earth.
  • Friction usually acts opposite the direction of motion, and more surface grip can help shoes, tires, and hands push effectively.
  • Momentum is found with p=mvp = mv, so a faster or more massive object has more momentum.
  • Kinetic energy is energy of motion and is found with KE=12mv2KE = \frac{1}{2}mv^2.
  • Power measures how quickly work is done and is found with P=WtP = \frac{W}{t}.

Vocabulary

Force
A push or pull that can change an object's motion, shape, or direction.
Net Force
The total force on an object after all forces are combined, which determines whether the object accelerates.
Friction
A contact force that resists motion between surfaces that touch.
Momentum
A measure of how hard it is to stop a moving object, calculated as mass times velocity.
Kinetic Energy
The energy an object has because it is moving.
Projectile
An object moving through the air after being launched, with gravity pulling it downward.

Common Mistakes to Avoid

  • Confusing speed and acceleration is wrong because speed tells how fast something moves, while acceleration tells how quickly velocity changes.
  • Forgetting direction in force problems is wrong because forces in opposite directions subtract when finding FnetF_{\text{net}}.
  • Using mass and weight as the same quantity is wrong because mass is measured in kg\text{kg}, while weight is a force measured in N\text{N}.
  • Thinking friction is always bad is wrong because friction helps athletes run, tires grip roads, and hands hold equipment.
  • Doubling speed and thinking kinetic energy only doubles is wrong because KE=12mv2KE = \frac{1}{2}mv^2, so kinetic energy depends on the square of speed.

Practice Questions

  1. 1 A soccer player runs 60 m60\ \text{m} in 10 s10\ \text{s}. What is the player's average speed using v=dtv = \frac{d}{t}?
  2. 2 A 0.50 kg0.50\ \text{kg} basketball is pushed with a net force of 4 N4\ \text{N}. What is its acceleration using Fnet=maF_{\text{net}} = ma?
  3. 3 A 2 kg2\ \text{kg} skateboard moving at 3 m/s3\ \text{m/s} has what momentum using p=mvp = mv?
  4. 4 Why does a runner need friction between their shoes and the track to start quickly?