Mechanics Problems

Practice vector addition, components, and graphical/vector triangle methods.

Solve problems on displacement, velocity, time, and acceleration using motion equations.

Apply the laws to forces, motion, and real-life systems.

Tackle problems involving free-body diagrams, static and kinetic friction, and normal forces.

Solve problems involving tangential speed, radius, and time in uniform circular motion.

Apply the centripetal force formula to turning cars, satellites, and rotating systems.

Solve problems using moments, lever arms, and rotational equilibrium.

Identify center of mass and apply to systems in motion and equilibrium.

Solve problems involving rotational kinematics and dynamics.

Apply Hooke’s Law to spring systems and energy storage.

Solve for period, frequency, amplitude, and energy in SHM problems.

Apply the conservation of energy to mechanical and thermal systems.

Identify energy types in systems and describe their transformations.

Classify sources and assess energy efficiency and sustainability.

Solve for work, potential energy, and kinetic energy in various systems.

Calculate power output and energy efficiency in physical and mechanical systems.

Solve problems involving collisions, recoil, and impulse-momentum theorem.

Apply conservation laws to analyze 1D and 2D collisions.

Solve problems involving weight variation and gravitational field strength.

Calculate gravitational forces, field strengths, and planetary interactions.

Apply constant acceleration formulas to free-fall and vertical motion.

Solve problems involving gravitational potential energy changes on Earth and between celestial bodies.

Apply laws of circular motion and gravity to calculate orbital speed, period, and altitude.

Solve problems involving hydraulic systems and fluid pressure.

Apply Archimedes’ principle to problems on floating, sinking, and apparent weight.

Use Bernoulli’s equation to analyze fluid dynamics problems.