All the chapter’s exercises, worked step-by-step, in order of appearance in the book: first the guided exercises in the text, then the end-of-chapter problems (numerical, conceptual, true/false, ranking, graphical, proofs, Fermi estimates, challenges).
Worked exercises in the text
End-of-chapter problems
- Centre of mass of two masses on the x axis
- Seesaw and fulcrum
- Centre of mass of three masses in a plane
- The boy walking on the boat
- Internal kinetic energy of two balls
- Rocket exploding mid-trajectory
- Proof of König’s theorem
- Disc with a tangent hole
- Two blocks with a spring and CM graph
- Push force in a vertical jump
- Ranking CM distance in dumbbells
- The rotating diver
- Three masses on an axis
- Person walking on the boat
- Rocket in deep space
- The hourglass on the scale
- Ranking CM height of flat shapes
- True or false about the centre of mass
- Where does the barycentre fall (bar and ball)
- Explosion and total momentum
- Elastic vs perfectly inelastic
- Person on the boat
- Ranking pairs of masses on a line
- Ranking final velocity after collisions
- Three bodies on an axis
- CM velocity and momentum
- Perfectly inelastic collision
- Elastic collision in 1D
- Impulse and velocity of a ball
- Finding the masses from the CM
- Rocket and the Tsiolkovsky equation
- Sci-fi physics: third law broken
- Sci-fi physics: instantaneous variable mass
- Collision between sledges
- Kick and impulse
- Shock absorbers
- Airbag
- Reading a CM position graph
- Reading a force-time graph
- Jumping down from a stool
- Recoil of a rifle
- Water bottle rocket
- Challenge: simultaneous three-body collision
- Challenge: chain on a table