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Moments, Levers And Gears (physics Only) (GCSE Physics)

The following is a GCSE Physics test covering 'Moments, Levers And Gears (physics Only)' from the broader topic Forces. The test is geared towards the AQA exam board style syllabus.
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A force of 10 N is applied at a perpendicular distance of 0.40 m from a pivot. What is the moment (turning effect) of this force about the pivot?
Which change will increase the moment produced by a force applied to a lever?
A force is applied to a lever at an angle such that only a component perpendicular to the lever causes turning. If a 30 N force is applied at 60° to the lever, what perpendicular component produces the moment?
A wrench has two possible positions to apply a 50 N force: at 0.10 m or at 0.30 m from the nut. What is the ratio of the moments produced at the two positions (moment at 0.30 m : moment at 0.10 m)?
If power transmission through gears is ideal (no losses), which quantity remains the same in the driver and driven shafts?
Gear A with 10 teeth drives gear B with 40 teeth. If gear A rotates at 200 rpm, what is the rotational speed of gear B?
A spanner (wrench) handle is 0.30 m long. Applying 80 N at the end produces the same moment as applying which force at 0.60 m?
A seesaw is balanced when a 20 kg child sits 1.5 m from the pivot on one side. At what distance must a 30 kg child sit on the other side to balance the seesaw? (Take g constant and cancel where appropriate.)
A simple calculation: a child pushes down on a see-saw 0.8 m from the pivot with a moment of 24 N m. What force did the child apply?
A lever is in equilibrium. If an extra 10 N force is applied at 0.5 m on the effort side clockwise, how must the other side change to remain balanced?
When two gears mesh directly (single pair), how does the direction of rotation of the driven gear compare with the driver?