Paper 2 - P5 - Forces Flashcards
Vector quantity
> Vector quantities have magnitude and direction.
E.g. force, velocity, displacement, acceleration, momentum.
They can be represented by an arrow:
-The length of the arrow shows the magnitude and the direction of the arrow shows the direction of the quantity.
Scalar quantity
> Scalar quantities only have magnitude and NO direction.
>E.g. speed, distance, mass, temperature, time.
How does velocity (vector) follow on from speed (scalar)?
> Velocity is a vector, but speed is a scalar quantity.
Both bikes are travelling at the same speed but they have different velocities because they are travelling in different directions.
What two groups can forces be put into?
> All forces are either contact and non-contact.
Force - defintion
> A force is a push or a pull on an object that is caused by it interacting with something.
Contact forces
> When two objects have to be touching for a force to act, that force is called a contact force.
E.g. friction, air resistance, tension in ropes, normal contact force.
Non-contact forces
> If the objects do not need to be touching for the force to act, the force is non-contact.
E.g. magnetic force, gravitational force, electrostatic force.
What happens when forces interact?
> When two objects interact, there is a force produced on both objects.
An interaction pair.
This is basically Newton’s 3rd law.
E.g. the Sun and the Earth are attracted to each other by the gravitational force. This is a non-contact force. An equal but opposite force of attraction is felt by both the sun and the Earth.
E.g. a chair exerts a force on the ground, whilst the ground pushes back at the chair with the same force (the normal contact force). Equal but opposite forces are felt by both the chair and the ground.
Interaction pair - definition
> A pair of forces that are equal and opposite and act on two interacting objects.
Gravitational force
> Gravitational force is the force of attraction between masses.
Gravity attracts all masses, but you only notice it when one of the masses is really really big, e.g. a planet.
Anything near a planet or star is attracted to it very strongly.
It has 2 important effects.
The two important effects of gravity.
1) On the surface of a planet, it makes all things fall towards the ground.
2) It gives everything weight.
Mass - definition
> Mass is just the amount of ‘stuff’ in an object. For any given object this will have the same value anywhere in the universe.
Weight - definition
> Weight is the force acting on an object due to gravity (the pull of the gravitational force on the object).
Close to the Earth, this force is caused by the gravitational field strength around the Earth.
Gravitational field strength - info
> GFS varies with location.
>It’s stronger the closer you are to the mass causing the field, and stronger for larger masses.
Weight - info
> The weight of an object depends on the strength of the gravitational field at the location of the object. This means the weight of an object changes with its location.
E.g. an object has the same mass whether it’s on the Earth or Moon, but it’s weight will be less on the Moon as the GFS is weaker (1.6N/kg).
Weight is a force measured in newtons.
You can think of the force as acting from a single point on the object, called its centre of mass. For a uniform object this will be at the centre of the object.
Weight is measured using a calibrated spring balance (or newtonmeter).
Mass - info
> Mass is not a force.
>It’s measured in kilograms with a mass balance.
Relationship between mass and weight
> Mass and weight are directly proportional.
>Increasing the mass of a subject increases its weight, if you double the mass, you double the weight etc.
EQUATION - WEIGHT
Weight (N) = Mass (kg) x Gravitational Field Strength (N/kg).
What type of diagram show all the forces acting on an object?
> A free body diagram
Free Body Diagrams
> The size of the arrows show the relative magnitudes of the forces and the directions show the directions of the forces acting on the object.
What is the overall force on a point or object?
> Resultant force
Resultant Force
> The overall force on a point or an object.
If you have a number of forces acting at a single point, you can replace the single force (the resultant force).
If the forces all act along the same line, the overall effect is found by adding those going in the same direction and subtracting any going in the opposite direction.
Consider the horizontal and vertical directions separately. State the size and direction of the resultant force, e.g. 200N to the left.
Resultant Force Theory
> If a resultant force moves an object, work is done.
When a force moves an object through a distance, energy is transferred and work is done on the object.
1)To make something move, a force must be applied.
2) The thing applying the force must have a source of energy (like fuel or food).
3)The force does ‘work’ to move the object and energy is transferred from one store to another.
4) Work done and energy transferred are the same thing.
EQUATION - WORK DONE
> Work Done (J) = Force (N) x Distance (moved along the line of action of the force) (m).
> 1 Joule = 1Nm
Work done - explained example
> When you push something along a rough surface (like a carpet) you are doing work against frictional forces.
Energy is being transferred to the kinetic energy store of the object because it starts moving but some is being transferred to the thermal energy stores due to the friction.
This causes the overall temperature of the object to increase.
What do you use to find resultant forces?
> A scale drawing
Steps to a ‘scale drawing’
- Draw all the forces acting on an object, to scale, ‘tip-to-tail’.
2.Then draw a straight line from the start of the first force to the end of the last force - this is the resultant force. - Measure the length of the resultant force on the diagram to find the magnitude and angle to the direction of the force. Give as bearing.
>Basically pythag theorem.
Other than finding the resultant force what else can scale drawings be used for?
> You can use them to check to see if forces are balanced.
When is an object at equilibrium?
.If all forces on it are balanced.
Equilibrium and scale drdawings
> If all forces acting on an object combine to give a resultant force of zero, the object is in equilibrium.
On a scale drawing, this means that the tip of the last force you draw should end where the tail of the first force you drew begins. E.g. for 3 forces, the scale diagram will form a triangle.
Might be told forces acting on an object, and told to find a missing force, given that the object is in equilibrium. To do this, draw out the forces you do know (to scale and tip-to-tail), join the end of the last force to the start of the first force.
This line is the missing force so measure its size and direction.
Applying forces to a spring
> When you apply a force to an object you may cause it to stretch, compress or bend.
To do this, you need more than one force acting on an object - otherwise the object would simply move in the direction of the applied force instead of changing shape.
Work is done when a force stretches or compresses an object and causes energy to be transferred to the elastic potential energy store of the object.
If it i elastically deformed all this energy is transferred to the object’s elastic potential energy store.
Elastic deformation
> An object has been elastically deformed if it can go back to its original shape and length after the force has been removed.
Objects that can be elastically deformed are called elastic objects (e.g. a spring).
Inelastic deformation
> An object has been inelastically deformed if it doesn’t return to its original shape and length after the force has been removed.
The equation used with springs
> F (N) = k (N/m) x e (m)
Force = spring constant x extension
> The equation also works for compression.
What is extension directly proportional to?
> Force.
Spring constant
> N/m
>The spring constant depends on the material that you are stretching - a stiffer spring has a greater spring constant.
Limit of proportionality
> There is a maximum force above which the graph curves, showing that extension is no longer proportional to force.
The idea that there’s a limit to the amount of force you can apply to an object for the extension to keep increasing proportionally.
Investigating Springs Practical - equipment
>Clamp >Fixed ruler >Spring >Tape (to mark end of spring) >Hanging mass >Extra masses >Weighted stand
Investigating Springs Practical - pilot experiment
> Before starting you should do a quick pilot experiment to check your masses are an appropriate size for your investigation:
-Using an identical spring to the one you will be testing, load it with masses one at a time up to 5. Measure extension each time.
Work out increase in extension in the extension of spring with each mass, if its extension is bigger than previous mass then its passed the limit of proportionality and use smaller masses.
Investigating Springs Practical - checking whether deformation is elastic or inelastic?
> To check whether the deformation is elastic or inelastic, you can remove each mass temporarily and check to see if the spring goes back to the previous extension.
Investigating Springs Practical - method
- Measure the natural length of the spring with a millimetre ruler clamped to the stand. Make sure you take the reading at eye level and and add a marker to the bottom of the spring to make the reading more accurate.
- Add a mass to the spring and allow the spring to come to rest. Record the mass and measure the new length of the spring. The extension is the the change in length.
- Repeat process until you have enough measurements. (no fewer than 6).
Investigating Springs Practical - plotting results
> Once you’ve collected results, you can plot a force-extension graph of your results.
It will only start to curve once it has passed its’ limit of proportionality
Straight line = linear relationship between force and extension.
Bend + non-linear relationship, the spring stretches more for each unit increase in force.
Equation for work-done for linear relationship (springs)
> E(J) = 1/2 x k (N/m) x e^2 (m)
>Elastic potential energy = half x spring constant x extension squared.
What does the are under a force-extension graph show?
> The energy in the elastic potential energy store of a stretched spring.
Moment - defintion
> The turning effect of a force.
Moment equation
> M(Nm) = F(N) x d(m)
Moment of a force = force x distance
Distance is the perpendicular distance from the pivot to the line of action of the force.
Moments - key info
> If the total anticlockwise moment equals the total clockwise moment about a pivot, the object is balanced and won’t turn.
To get maximum moment you need to push at perpendicular to the spanner.
A larger force or longer distance would mean a larger moment.
Levers
> Levers make it easier for us to do work.
Levers increase the distance from the pivot at which the force is applied.
Since M=Fd this means less force is needed to get the same moment.
This means levers make it easier to do work, e.g. lift a load or turn a nut.
Examples of a simple levers
> Long sticks or bars
>Wheelbarrows.
Gears
> Gears transmit rotational effects.
Gears are circular discs with ‘teeth’ around their edges.
Their teeth interlock so that turning one causes another to turn in the opposite direction.
They are used to transmit the rotational effect of a force from one place to another.
Different sized gears can be used to change the moment of the force. A force transmitted to a larger gear will cause a bigger moment as the distance to the pivot is greater.
The larger gear will turn slower than the small gear.
Pressure definiton
> The force per unit area.
Fluid - definition
> A liquid or gas.
>Substances that can ‘flow’ because their particles are able to move around.
Fluid pressure
> As a fluids particles move around, they collide with the collide with surfaces and other particles.
Particles are light, but they still have a mass and exert a force on the object they collide with. Pressure is force per unit area, so this means the particles exert a pressure.
The pressure of a fluid means a force is exerted normal to any surfaces in contact with the fluid.
Equation to calculate the pressure at the surface of a fluid
> Pressure (Pa/) = force (N) x Area (m^2)
Pressure in pascals.
Force normal to a surface.
Area of that surface.
What does the pressure in a liquid depend on?
> Depth
>Density
Pressure of a liquid - density
> For a given liquid, the density is uniform (the same everywhere) and it doesn’t vary with shape or size.
The density of a gas can vary though.
The more dense a given liquid is, the more particles it has in a certain space. This means there are more particles that are able to collide so the pressure is higher.
Density - defintion
> Density is a measure of the ‘compactness’ of a substance, i.e. how close together the particles together the particles in a substance are.
Pressure of a liquid - depth
> As the depth of a liquid increases, the number of particles above that point increases.
The weight of these particles adds to the pressure felt at that point, so liquid pressure increases with depth.
You can calculate pressure at certain depth - pressure = height x gfs x density.