Question 1 · Define2 marks
Define the Bernoulli principle and the Magnus force.
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- Bernoulli principle: air molecules exert less pressure the faster they travel and more pressure the slower they travel
- Magnus force: a force created by a pressure gradient on opposing surfaces of a spinning body moving through the air
Question 2 · Identify2 marks
A right-handed golfer hits a drive that curves from right to left. Identify the type of spin and state where the eccentric force was applied to the ball.
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- Hook / sidespin
- Eccentric force applied to the right of the centre of mass
Question 3 · Draw4 marks
Draw and label a diagram to show how backspin affects the flight of a golf ball.
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- Direction of travel shown, with airflow in the opposite direction, and backspin shown on the ball
- Below the ball: airflow slower / higher pressure
- Above the ball: airflow faster / lower pressure
- Magnus force acts upwards (from high to low pressure), so the ball stays in the air longer / travels further
Question 4 · Explain5 marks
Using the Bernoulli principle, explain how a tennis player uses topspin to hit a fast shot that still lands in the court.
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- Eccentric force applied above the centre of mass creates topspin
- The top surface of the ball rotates into the oncoming airflow, so airflow above the ball is slower and pressure is higher
- The bottom surface rotates with the airflow, so airflow below the ball is faster and pressure is lower
- The pressure gradient creates a Magnus force acting downwards (from high to low pressure)
- The ball dips / flight path is shortened, so it can be hit harder and still land in
- Credit beyond the flight points: on landing the ball kicks forward / skids through quickly, giving the opponent less time (max 5)
Question 5 · Apply3 marks
A right-footed player curls a free kick around the wall with the inside of their foot, and the ball swerves from right to left. Explain how the spin causes the swerve.
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- Eccentric force applied to the right of the centre of mass gives sidespin (anticlockwise when viewed from above)
- Airflow on the left side of the ball is faster / lower pressure; airflow on the right side is slower / higher pressure
- Magnus force acts to the left (from high to low pressure), so the ball swerves left around the wall
Question 6 · Compare3 marks
Compare the flight of a tennis ball hit with topspin and one hit with backspin, at the same speed and angle of release.
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- Topspin: Magnus force downwards, so the ball dips and has a shorter flight
- Backspin: Magnus force upwards, so the ball floats / stays in the air longer
- So the topspin ball lands shorter and the backspin ball lands further
- Credit beyond the flight points: on the bounce topspin kicks forward / skids through quickly; backspin checks / slows
The bounces in the simulator are illustrative only.