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OCR A-level PE (H555) · Biomechanics
Mini-Lesson

Biomechanics

This mini-lesson covers OCR's Biomechanics: Newton's laws in sport, force, momentum and impulse, the three lever systems and mechanical advantage, projectile motion, angular motion, and the fluid mechanics of drag, lift and spin.

linear motion levers & flight rotation & fluids how physics governs sporting technique

Work through each screen, answer the questions (some wordy, some calculations you must recompute) and collect ⭐ stars. Press Start when you're ready.

Linear motion · Newton's laws

Newton's three laws of motion

Newton's laws underpin every technique. Learn the law and match it to a movement:

  • 1st law — law of inertia: a body remains at rest or moving uniformly until a net external force acts. A curling stone glides in a straight line until friction or a sweeper's action changes it.
  • 2nd law — law of acceleration: acceleration is proportional to the force and inversely proportional to mass, giving F = ma (force is proportional to the rate of change of momentum). A harder golf strike accelerates the ball more.
  • 3rd law — law of reaction: every action has an equal and opposite reaction. A basketball player pushes down into the floor to jump; the floor pushes up with an equal reaction force.

Exam tip: examiners want the law named, the force identified and the sporting effect described — three marks, three parts.

Quick check

Name the law

?A high-jumper plants their foot and pushes down hard into the runway; the ground pushes back and launches them upward. Which of Newton's laws explains the upward drive?
Linear motion · F = ma

Force and Newton's second law

A force is a push or pull measured in newtons (N) that alters an object's motion. Its size is fixed by Newton's second law:

F = m × aF = force (N) · m = mass (kg) · a = acceleration (m/s²)

Because force is proportional to the rate of change of momentum, the same mass accelerates more when a larger net force acts. A heavier player therefore needs more force to reach the same acceleration.

Net force: only the resultant (net) force accelerates a body. Balanced forces (equal and opposite) produce no acceleration.

Calculate

Your turn — resultant force

1A prop forward of mass 90 kg drives forward with an acceleration of 2 m/s². Calculate the resultant force, in newtons.
N
Working

F = m × a

F = 90 kg × 2 m/s²

F = 180 N

Hint: F = m × a = 90 × 2.
Linear motion · momentum & impulse

Momentum and impulse

Linear momentum is mass multiplied by velocity — how hard a moving body is to stop:

p = m × vp = momentum (kg·m/s) · m = mass (kg) · v = velocity (m/s)

Impulse equals force multiplied by the time it acts, and it produces the change in momentum. Coaches use impulse two ways: increase it to speed up (long drive phase), or spread it over more time to cushion a landing and cut the peak force.

Impulse = F × t = change in momentumbending the knees on landing lengthens t, so the force felt falls

Impulse–momentum graphs: for a runner's foot strike, area above the time axis is positive (accelerating) impulse; area below is negative (braking) impulse. Net positive = speeding up.

Calculate

Your turn — momentum

2A speed skater of mass 70 kg travels at 8 m/s. Calculate their momentum in kg·m/s.
kg·m/s
Working

p = m × v

p = 70 kg × 8 m/s

p = 560 kg·m/s

Hint: p = m × v = 70 × 8.
Quick check

Softer landings

?A gymnast is taught to bend the knees and roll on landing rather than land rigidly. Using the impulse–momentum relationship, why does this protect the joints?
Levers · three systems

Lever systems in the body

Every lever has a fulcrum (F, the pivot/joint), an effort (E, the muscle force) and a load/resistance (R, the weight). The middle component names the class:

  • First classFulcrum central (E–F–R). Example: the triceps extending the elbow; nodding the head at the atlanto-occipital joint.
  • Second classResistance central (F–R–E). Example: standing on tip-toe (plantar-flexion) — the ball of the foot is the fulcrum, body weight the load, calf muscles the effort. High force output.
  • Third classEffort central (F–E–R). Example: the biceps flexing the elbow in a dumbbell curl. This is the body's most common lever and favours speed and range.

Recall trick: the numbers 1-2-3 point to the middle component F-R-E. First = Fulcrum, second = Resistance, third = Effort.

Levers · mechanical advantage

Mechanical advantage

Mechanical advantage (MA) is the ratio of the two lever arms, and it decides whether a lever is built for strength or for speed:

MA = effort arm ÷ resistance armeffort arm = fulcrum→effort distance · resistance arm = fulcrum→load distance
  • MA > 1 — effort arm longer than resistance arm; a small effort overcomes a large load (second-class levers, tip-toe raise).
  • MA < 1 — resistance arm longer; more muscular effort is needed, but the end of the lever moves quickly over a wide range (third-class levers, elbow flexion in a throw).

Design trade-off: long limbs give a big resistance arm (low MA) but high end-point speed — useful for throwers and strikers who want racket or club-head velocity.

Sort it

Which lever system?

Tap a statement, then tap the lever class it belongs to.

① First (E–F–R)

② Second (F–R–E)

③ Third (F–E–R)

Calculate

Your turn — mechanical advantage

3In a third-class lever (the biceps at the elbow) the effort arm is 3 cm and the resistance arm is 30 cm. Calculate the mechanical advantage.
(no units)
Working

MA = effort arm ÷ resistance arm

MA = 3 cm ÷ 30 cm

MA = 0.1 (MA < 1, so it favours speed and range, not force)

Hint: MA = 3 ÷ 30.
Quick check

Built for force

?Rising onto the toes to lift the whole body is a second-class lever with a mechanical advantage greater than 1. What does this tell you about the movement?
Projectile motion

Projectile motion

A launched body — a javelin, a diver, a basketball — follows a parabola. We treat its motion as two independent components of the release velocity:

horizontal = v·cosθ   vertical = v·sinθv = release speed · θ = release angle above the horizontal
release velocity v v·cosθ (horizontal) v·sinθ (vertical)
Horizontal velocity stays constant; gravity acts only on the vertical component.

Three release factors govern the flight path: the speed, the angle, and the height of release. A high release point lets a lower, flatter angle still maximise distance.

Calculate

Your turn — horizontal component

4A ball is released at 10 m/s at an angle of 60° above the horizontal. Calculate the horizontal component of its release velocity. (Use cos60° = 0.5.)
m/s
Working

horizontal = v·cosθ

= 10 × cos60° = 10 × 0.5

= 5 m/s

Hint: horizontal = v·cosθ = 10 × 0.5.
Angular motion

Angular motion & conserving spin

Rotating athletes — a diver's tuck, a trampolinist's twist — obey the rules of angular motion:

  • Moment of inertia — the resistance of a rotating body to a change in its angular motion. It grows when mass is spread further from the axis (a layout position) and shrinks when mass is tucked in close.
  • Angular momentum = moment of inertia × angular velocity. Once airborne, with no external torque, angular momentum is conserved.

So a diver leaves the board with fixed angular momentum, then tucks to cut the moment of inertia; angular velocity rises and they somersault quickly. Opening out before entry raises the moment of inertia and slows the rotation for a clean entry.

Key phrase: "moment of inertia down, angular velocity up" — the conservation of angular momentum in one line.

Quick check

Quicker somersault

?A diver leaves the board and pulls into a tight tuck. What happens to the rate of rotation, and why?
Fluid mechanics

Fluid mechanics: drag, lift & spin

Objects moving through air or water experience fluid forces that a smart performer manages:

  • Drag — resistance acting against motion through a fluid. A skier in a tuck or a swimmer holding a streamlined line reduces frontal area and surface friction to cut drag.
  • Lift & the Bernoulli principle — where a fluid flows faster, its pressure is lower. Angling a discus or ski-jumper's body so air moves faster over the top creates a lower pressure above and an upward lift force.
  • The Magnus effect — a spinning ball speeds the air on one side and slows it on the other, so pressure differs across the ball and its path curves. A footballer's sidespin bends a free kick around the wall.

Two sides of one coin: sprint and downhill athletes fight to reduce drag, while throwers and ball players use lift and the Magnus effect to gain distance or swerve.

Match it

Match each term to its meaning

Tap a term on the left, then its matching definition on the right.

Term
Meaning
Recap

The big ideas to know

Newton: 1st = inertia · 2nd = F = ma · 3rd = equal and opposite reaction (ground reaction force)

Momentum: p = m × v · impulse = F × t = change in momentum (bend knees → longer t → smaller force)

Levers: 1-2-3 → F-R-E in the middle · 2nd class = high MA (force) · 3rd class = MA < 1 (speed/range), most common

MA: effort arm ÷ resistance arm

Projectiles: horizontal = v·cosθ, vertical = v·sinθ · speed, angle, height of release

Angular & fluid: conserve angular momentum (tuck → faster spin) · drag, lift/Bernoulli, Magnus effect

You've covered the whole of OCR Biomechanics. Press Finish to see your score.

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