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Welcome to GCSE Edexcel Science revision.

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Unit S P 9: Forces and their effects.

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Objects interact by exerting forces on each other.

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A force is a vector with magnitude and direction, measured in newtons.

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Contact forces require physical contact between objects.

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Examples include normal contact force, friction, tension, drag and upthrust from a fluid.

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The normal contact force is the support force acting at right angles (perpendicular) to a surface.

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It acts upwards on a horizontal table and at right angles to the slope on a sloping surface.

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The perpendicular arrow rises leftwards because the slope rises rightwards.

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Friction opposes relative sliding or the tendency to slide between surfaces.

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It can also provide useful grip, such as between shoes and the ground.

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Tension acts along a taut string or cable, pulling the attached object.

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A string does not push an object along its length.

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Air and water resistance are drag forces associated with relative motion through a fluid.

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Upthrust is an upward force from a fluid and does not require an object to be moving.

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Newton’s third law: two interacting objects exert equal, opposite forces of the same type on each other.

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These act on different objects.

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Earth attracts the Moon and the Moon attracts Earth with equal gravitational forces.

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Their different masses mean their accelerations are different.

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Non-contact forces act at a distance.

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Gravitational, electrostatic and magnetic interactions are represented using fields.

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A field is a region in which an appropriate object experiences a force.

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It is not a material string connecting the objects.

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All masses have gravitational fields and attract other masses.

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Weight is the gravitational force on an object in a gravitational field.

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Charged objects have electrostatic fields.

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Like charges repel and unlike charges attract: two electrons repel; an electron and a proton attract.

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Charge signs determine attraction or repulsion.

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Magnetic fields affect other magnets and magnetic materials such as iron, nickel and cobalt; steel can also be magnetic.

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Not all metals are magnetic.

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Like magnetic poles repel; unlike poles attract.

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An initially unmagnetised magnetic material can be attracted as magnetism is induced in it.

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A field can exist even when no test object is present.

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A force occurs when a suitable second object is placed in that field.

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A free-body diagram shows all the forces acting on one chosen object.

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Use labelled arrows pointing in the correct directions.

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Their lengths can show the sizes (magnitudes) of the forces.

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For a book resting on a horizontal table, draw weight downwards and normal force upwards.

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If no other vertical force acts, these balance.

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Weight and support on that book are not a third-law pair: both act on the book and are different interaction types.

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The partner forces act on Earth and the table.

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For a car travelling at constant velocity on level ground, driving force balances drag or friction horizontally and support balances weight vertically.

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Only forces acting on the car are shown.

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Zero resultant means no acceleration.

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This can describe rest or straight-line motion at constant velocity; it does not imply there are no forces.

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An unbalanced resultant can change speed or direction.

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Even if perpendicular forces have equal sizes, they do not cancel because they are not opposite.

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An object hanging from two angled strings has two tension forces and its weight acting on it.

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Each tension has a horizontal and vertical part (component).

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The horizontal parts can cancel while the vertical parts together balance the weight.

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Scalars such as mass, time, distance and speed have magnitude only.

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Force, weight, displacement and velocity have magnitude and direction and are vectors.

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For forces in one straight line, add those in the same direction and subtract those in opposite directions, stating the resultant's direction.

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For angled forces, choose a scale such as 1 centimetre equals 2 newtons, draw accurate lengths and use a protractor for directions.

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In the head-to-tail method, draw the second vector from the head of the first without rotating it.

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The resultant joins the first tail to the final head.

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Preserve each vector’s magnitude and direction when moving it head to tail.

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In the parallelogram method, draw both forces from one point and complete the parallelogram.

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Its diagonal from that point is the resultant.

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Both construction methods give the same resultant.

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Measure the resultant's length and direction on the drawing and convert length back to force using the chosen scale.

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Drawing thickness and protractor reading limit precision.

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The equilibrant is a force the same size as the resultant but in the opposite direction.

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Adding it balances the forces, giving a zero resultant.

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To resolve a force means to split it into two parts (components) at right angles.

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On a scale drawing, make the force the diagonal of a rectangle: its sides show the components.

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Together they have the same effect as the original force, but their lengths do not simply add to the diagonal’s length.

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The components form the sides; the original force is the diagonal.

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A 3 newtons horizontal force plus 4 newtons vertical force has a 5 newtons diagonal resultant.

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A scale drawing also gives its direction, roughly 53 degrees above the horizontal.

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In equilibrium, forces form a closed head-to-tail polygon.

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Check both horizontal and vertical balance; cancelling one direction alone is insufficient.

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A force can rotate an object about a pivot.

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Its moment equals force times perpendicular distance from the pivot to the force’s line of action, measured in newton metres.

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The lever’s total length is not automatically the perpendicular distance.

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Distances are measured perpendicular to the force lines from the pivot.

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For an object with no overall turning effect, total clockwise moment equals total anticlockwise moment: rotational equilibrium.

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To stay completely at rest (static equilibrium), its resultant force must also be zero.

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Balanced moments alone do not stop it moving in a straight line.

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A longer perpendicular lever arm gives a larger moment for the same force, so a long spanner can make a nut easier to turn.

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If the line of action passes through the pivot, the moment is zero.

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A lever can give a larger output force by placing that force nearer the pivot than the input force.

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The input side then moves farther; the lever does not create extra energy.

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Meshing gears transmit rotational effects.

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Two directly meshing gears turn in opposite directions; a small gear driving a larger one generally gives slower rotation and a larger torque, ignoring losses.

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Ignoring losses, a gear with twice as many teeth turns at half the speed.

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For example, a 20-tooth gear driving a 40-tooth gear makes the larger gear turn at half the speed.

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This is an inverse relationship between rotation speed and number of teeth.

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Real gears also have friction and other losses.

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That completes Forces and their effects.

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Revisit the notes and test yourself on the revision website.
