Forces Flashcards
(59 cards)
vector quantities
quantities with both magnitude (size) and direction
examples:
force, acceleration, displacement, velocity, momentum
usually represented by an arrow - length shows the magnitude, direction shows direction of the quantity
scalar quantities
quantities with only magnitude (size)
examples:
speed, distance, mass, temperature, time
contact forces
two objects touching for force to act
e.g. friction, air resistance, tension in ropes
non-contact forces
objects do not need to be touching for the force to act
e.g. magnetic force, gravitational force, electrostatic force, nuclear forces
gravitational force
the force of attraction between masses
important effects:
- makes all things fall towards the ground on the surface of a planet
- gives everything a weight
mass
the amount of ‘stuff’ in an object
for any given object this will have the same value anywhere in the universe
NOT a force
- measured in Kg with a mass balance
weight
the force acting on an object due to gravity (the pull of the gravitational force on the object)
changes with location as it depends on the strength of the gravitational field at the location of the object
measured in newtons
- acts from a single point on the object (the centre of mass) - a point at which you assume the whole mass is concentrated (the centre of the object for a uniform object)
- measured using a calibrated spring balance (or newtonmeter)
gravitational field strength
varies with location
(9.8 on Earth)
- stronger the closer you are to the mass causing the field
- stronger for larger masses
Weight equation
Weight (N) = Mass (kg) x Gravitational Field Strength (N/kg)
W = m x g
For earth, g ≈ 9.8N/kg
For moon, g ≈ 1.6N/kg
Mass and Weight are directly proportional
- increasing the mass of an object increases its weight
- if you double the mass, the weight doubles too - directly proportional
- can be written using the direct proportionality symbol, as W ∝ m
resultant force
the overall force on a point or object
- a single force which has the same effect as all the original forces together)
Found by adding forces going in one direction and subtracting any going in the opposite direction
free body diagrams
show all the forces acting on an object
e.g. a skydiver
- arrow pointing down represents skydiver’s weight pulling him to the ground
- arrow pointing up represents air resistance acting on him in the opposite direction to his motion
The sizes of the arrows show the relative magnitudes of the forces and the directions show the directions of the forces acting on the object.
Arrows are drawn from centre of gravity of the object.
energy transferred and work done
When a force moves an object through a distance, ENERGY IS TRANSFERRED and WORK IS DONE on the object
When you are pushing something along a rough surface (e.g. 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 also being transferred to the thermal energy stores due to friction. This causes the overall temperature of the object to increase.
Work done equation
Work done (J) = Force (N) x Distance (m)
W = Fs
scale drawings
used to find resultant force
shows all forces acting on an object
1. draw all the forces acting on an object, to scale ‘tip-to-tail’
2. draw a straight line from the start of the first force to the end of the last force - this is the resultant force
3. measure the length of the resultant force on the diagram to find the magnitude and the angle to find the direction of the force
you can split a force into components
- draw the force to scale on a scale grid
- add the horizontal and vertical components along the grid lines
- measure the lines
an object is in equilibrium if…
…the forces on it are balanced
e.g. on a scale diagram for three forces the scale diagram will from a triangle
elastically deformed
an object can go back to the original shape and length after the force has been removed
- objects that can be elastically deformed are called elastic objects (e.g. a spring)
inelastically deformed
an object doesn’t return to its original shape and length after the force has been removed
stretching, compressing and bending transfers energy
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 is elastically deformed, ALL this energy is transferred to the object’s elastic potential energy store.
extension is … to force
directly proportional so F ∝ e
F = ke
Force (N) = Spring constant (N/m) x Extension (m)
The spring constant depends on the material that you are stretching - a stiffer spring has a greater spring constant
This equation also works for compression (where e is just the difference between the natural and compressed lengths - the compression)
HOWEVER this STOPS working when the force is great enough
- there’s a limit to the amount of force you can apply to an object for the extension to keep on increasing proportionally
limit of proportionality
extension is no longer proportional to force
find the work done in stretching or compressing a spring
as long as its not stretched past its limit of proportionality
Ee = 1/2ke^2
Elastic potential energy (J) = 1/2 x Spring constant (N/m) x extension^2 (m)
for elastic deformation, this formula can be used to calculate the energy stored in a spring’s elastic potential energy store - it’s also the energy transferred to the spring as it’s deformed (or transferred by the spring as it returns to its original shape).
moments
a moment is the turning effect of a force
the size of the moment of the force is given by
M = Fd
Moment of a force (Nm) = Force (N) x Distance (m) - the perpendicular distance from the pivot to the line of action of the force
- if the total anticlockwise moments equals the total clockwise moment about a pivot, the object is balanced and won’t turn.
Levers make it … for us to do work
easier
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.
gears
gears transmit rotational effects
- gears are circular disks with ‘teeth’ around their edges
- their teeth interlock so that turning one causes another to turn, in the opposite direction
- 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 smaller gear