States that the resultant force is proportional to the rate of change of momentum
F= (final momentum - initial momentum)/time
Back
Thermal capacity
Front
Two different objects with the same mass and energy input will have different temperature changes
Energy required to raise an objects temperature by 1K
C= Energy / change in temp
Back
Average speed
Front
distance travelled/total time taken for journey
Back
Ideal gas
Front
follows the gas laws for all values of P, V and T
Back
Percentage Uncertainties
Front
(Difference from average/average measurement) x 100
Back
Velocity-time graph
Front
The gradient of this graph shows the acceleration and the area under the graph shows the distance travelled
Back
Acceleration-time graph
Front
The area under graph gives the final velocity
Back
Description of a force
Front
should include
Its magnitude
Its direction
the object on which it acts
the object that exerts the force
the nature of the force
Back
Newton's laws of motion
Front
1st law of motion- States that 'an object continues in uniform motion in a straight-line or at rest unless an external force acts on it'
2nd law of motion- 'Force = mass x acceleration (F=ma)
This also means that the acceleration of an object
- is proportional to the force applied
- is inversely proportional to its mass
also as mass is greater then the acceleration from the force will be smaller
however if mass becomes smaller acceleration will become greater.
3rd law of motion- 'Every action has an equal opposite reaction' (e.g. when two bodies A and B interact, the force that is exerted on A is equal and opposite to the force that B exerts on A)
There are some rules that apply to the 3rd law
- the force are equal
- the force acts on different bodies
- the forces acts in opposite directions
- the forces must both be the same type
Back
Types of energy and their equations
Front
Types:
Kinetic energy= 1/2mv^2
Gravitational energy= mgh
Elastic potential energy
- spring constant, F= k.x
- Elastic PE= 1/2F.x
therefore = 1/2k.x^2
Thermal energy
Chemical energy
Internal energy
Electrical energy
Back
Charles's law
Front
Vi / Ti = Vf / Tf where Pressure has to be constant
Back
Specific Latent heat
Front
amount of energy per unit mass absorbed or released during a change of state
vaporisation = E= SHLV.M
Fusion = E = SHLF.M
Back
Equations used for motion
Front
S= displacement or distance travelled
U= initial velocity
V= final velocity
A= acceleration
T= time taken
Back
Gas molecules
Front
1) molecules move randomly
2) there are no forces of attraction between molecules
3) the volume of the molecules is negligible
4) molecule collisions are elastic - no energy is lost
Back
Scalar measurements
Front
Mass (kg), Length (m), Time (s), Current (A), Temperature (K), Speed (m/s), Pressure (Pa), Potential difference (V), Resistance (ohms), Energy (J), Charge (C), Power (W), Frequency (Hz)
Back
Elastic and inelastic collisions
Front
A collision which no energy is lost is called an elastic collision
A collision where a large amount of energy is lost through heat and sound however momentum is still conserved is called perfectly inelastic collision
A collision where only some energy is lost however the total momentum still remains the same is called inelastic collision
Back
Conservation of Momentum
Front
'Momentum is always conserved if there are no other external force acting on the system'
This means that when 2 masses interact momentum before interaction = momentum after interaction
So, m.v1 + M.V1 = m.Vf + M.Vf
Back
Systematic error
Front
An error that occurs on all measurements that are caused by mostly instruments and apparatus used to measure data. Systematic error cannot be reduced by repeating experiments.
Back
Thermal energy in gases
Front
Temperature, volume and pressure are all interrelated
Back
To calculate mole
Front
n = N / NA
Back
Average velocity
Front
Distance travelled in a specific direction/time taken
Back
What is work
Front
Work is done when a force move its points of application in the direction of the force. However if the force moves at right angles to the direction of the force, then no work has been done.
Work is define as if the force and the displacement are in the same direction, this can be simplified to
'Work done = force x distance'
Back
Latent Heat
Front
The amount of energy required to change an objects state
L= E/M
There are 2 types of latent heat
Fusion - Changes solid to liquid
Vaporisation - Changes liquid to gas
Latent heat does not effect kinetic energy but effects potential energy (breaking and forming bonds)
Back
What can a force do
Front
A force causes a CHANGE in velocity, however if the force is zero this makes the velocity constant. A force causes acceleration.
Back
Vector measurements
Front
Force (N), Displacement (m), Acceleration (m/s2), Velocity (m/s)
Back
Instantaneous velocity
Front
The speed and direction at an instant in time
Back
Powers Uncertainties
Front
if y= a^n then the uncertainty would be n(difference from average/average measurement) (e.g. cube has 5cm +/- 5mm length
% Uncertainty in length= 0.5/5= 10%
Volume = (length)^3= 125cm^3
% Uncertainty in volume = 3 x (% uncertainty in length)= 3x10= 30%
Absolute uncertainty= 30% of 125 =37.5
Volume of cube = 125 +/- 38cm^3)
Back
General gas equation
Front
P.V / T = R or p.v = n.R.T
however the value of the constant depends on the amount of gas
Back
Specific heat capacity
Front
the energy required to raise a unit of mass by a temperature of 1k
SHC = Energy / mass x change in temp
= I.t.V / m(T2 - T1)
Back
Momentum
Front
The product of mass and velocity
Momentum = mass x velocity
p = mv
Because velocity is a vector this makes momentum a vector.
Back
Power
Front
power is the amount of energy supplied per second;
P= E/T
Therefore it could be; P= W.D/t which equals P= F.D/t
so power can also be measured by P= force x velocity
Back
Equilibrium
Front
If the resultant force on an object is zero then it is said to be in equilibrium
An object could only be said to be in equilibrium when:
- An object that is constantly at rest
- An object that is moving with constant velocity in a straight line
if in equilibrium
T sin theta = P (since no resultant horizontal force)
T cos theta = W (since no resultant vertical force)
Back
Absolute Uncertainties
Front
Difference between the average and the original values (e.g. 15.5cm +/- 5mm therefore the value must be between 15cm and 16cm) answer is 5mm
Back
Pressure law
Front
Pi / Vi = Pf / Vf where Volume has to be constant
Back
Distance-time graph
Front
The gradient of this graph shows the speed
Back
Friction
Front
There are 2 types of friction
Static
- The 2 surfaces have no relative motion
Dynamic
- The 2 surfaces are moving over each other
Equations
Back
Instantaneous speed
Front
The speed at an instant in time
Back
Fractional Uncertainties
Front
Difference from average/average measurement
Back
Internal energy
Front
is the total random kinetic energy plus the potential energy that is stored by the chemical bonds between the molecules
Back
Different types of forces
Front
Gravitational force, Electrostatic force, Magnetic force, Normal reaction, Friction, Tension, Compression, Upthrust, Lift
Back
Acceleration
Front
is the change in velocity/time (acceleration due to gravity= 9.81m/s^2 since the gravitational force=9.81N)
Back
Boyle's Law
Front
Pi . Vi = Pf . Vf where Temperature has to be constant
Back
Impulse
Front
impulse is the result of change in momentum
Back
Thermal Equilibrium
Front
When 2 objects come in contact together, after a period of time they will reach the same temperature.
Back
Efficiency
Front
Is the measurement if the energy transferred is useful or not.
Efficiency= useful work out/total energy in
= useful power out/total power in
Back
Random error
Front
Is an unpredictable and largely uncontrollable uncertainty which are made by humans. Random uncertainties can be reduced by taking the average reading from the datas.