Physics

Physical quantities are the quantities with magnitude and any unit, does not have to be si

Temperature is a physical quantity and its si unit is K
45K

Know all of this

convert 218m to micromerter and nanometer

Definitions

• Systematic Error: A consistent, repeatable error where measurements differ from the true value by a fixed amount or ratio in the same direction every time. [1, 2, 3, 4, 5]. The problem is in the apparatus and experimental design

Affects Accuracy

• Random Error: Unpredictable variations in measurements that fluctuate above and below the true value due to chance, environmental changes, or human limitation like human reaction time and changing eye level.

Affects precision

Systematic error can be when the line does not pass from (0,0)
Caused by zero error

Uncertainites

Both the uncertainty and value needs to be same decimal places

Basically just add

The percentage uncertainty in difference is 1.2/34 × 100 = 3.59%

We add the percentage uncertainty of both quantities to get the percentage uncertainty of 2ab.
And then after getting the percentage uncertainty we calculate the absolute uncertainty .

We multiply the power by percentage uncertainity

Another rule: Always only the percentage uncertainty stays same
radius = 2.63 (+-) 0.01cm

Find percentage uncertianity and the final value

Coplanar vectors are the vectors that are either parallel or anti parallel( on the same axes but in different direcitons)

Also scalar- Pressure
Also vector-

Ok so follow the theorem
it is v-u
so first draw v and then at head of v draw ‘-u’
then collect the two lines

A vector triangle in equilibrium
For equilibrium, the three force vectors must form a closed triangle, with the arrow of each vector connecting to the tail of the next

B
The weight acts downwards so in vector triangle it must act downwards

Absolute power means the modulus of the power

We can do the second one by putting denominator at numerator.

Displacement is represented as a straight line it is shortest distance between to poiints

remember it pleasee

Used when acceleration is constant

During free fall the ball only experiences the -9.8m/s² acceleration

When an object is thrown upwards and is in free fall, it slows down because it has a downward acceleration due to gravity. Since the acceleration is opposite to its upward velocity, the object decelerates.
Same for force even if resultant force is on left the object can be still be moving to right if velocity is positive.
Force determines direction of acceleration
Velocity determines direction of motion

Opposite signs means that acceleration is in the opposite direction sort of like resisting the movement

When an object is falling.

When horizontal velocity is constant zero acceleration

Initial vertical velocity is 0

See that vertical velocity is same but different direction when they are at same height

Gravity only affects the vertical component of velocity

At the peak there is no vertical velocity. vertical velocity is zero

Total speed²= (horizontal component of velocity)² + (vertical component of velocity)²

A
First identify the forces and their directions
So for this one all the forces are acting downwards so resultant downward force is air resistance + weight
if air resistance will decrease resultant force also will decrease

Mass is a property of an object that resists change in motion
Linear momentum (Momentum in straight line)— Product of mass and velocity
Force - rate of change of momentum
Weight- Effect of gravitational field on a mass
Weight of an object may be taken as acting at a single point known as its centre of gravity
Drag force= VIscous force
Drag force increases as speed increases.
Principal of conservation of momentum - The sum or total momentum of the bodies in a closed system is constant provided no resultant external forces act.
Elastic collision- Total kinetic energy is conserved and the relative speed of approach is equal to the relative speed of separation
Moment of a force- Force x perpendicular distance of the pivot from the line of action of force.
Torque of a couple- one of the forces x perpendicular distance of the two forces
Density- mass per unit volume
Pressure-force per unit area

Newton’s first law of motion- An object will remain at rest or in a state of uniform motion unless it is acted upon by a resultant force.
If a object has a high mass it has more inertia meaning that it has more resistance to acceleration and hence requires a larger resultant force to be act upon

Newton’s second law of motion- Resultant force is proportional(or equal) to the rate of change of momentum.
Can be also written as -Resultant force is proportional(or equal) to mass x acceleration.
Basically — F=ma

Newton’s third law of motion- When two bodies interact, The forces they exert on each other are of equal in magnitude but opposite in direction.
The forces must be same type

Head on elastic collision means they collide and then move in same plane but with different directions.

For newtons third law of motion
The opposite forces must be of the same type

You push a wall with a contact force.

• The wall pushes you with a contact force.
  
  Earth pulls you downward with gravitational force.

• You pull Earth upward with gravitational force.
  
  Remember that earth pulls you
  
  Earth exerts a gravitational force on the book → pulls the book toward Earth.

• The book exerts a gravitational force on Earth → pulls Earth toward the book.
  
  

When elastic collision happen
magnitude of relative velocity before = magnitude of relative velocity after
or
can be phrased as relative speed before = relative speed after

A

Newton’s third law two forces act on different objects

They are not the cause of an object being in equilibrium

For an object to be equilibrium the forces should be acting on the same object be equal in magnitude and opposite in direction basically there vector resolution should be zero.

Both are newton’s third law pair

The equilibrium force that keeps book intact is the Earth pulls down on the book and table pushes up on the book as both of them act on book.

Write value of all forces

mg sin theta = 145
mg cos theta=312

mg is the hypotenuse

mg sin theta is not the whole length of ramp infront of object.

You need to get the angle that is to horizontal

C

A
there are two blocks bro
The upward force of block p is balanced by normal force

For each mass on both sides

The heavier mass moves down

But magnitude of acceleration for both is same

resultant force is the upward force - downward force

B
Resultant force is 40kg x 9.8 =392N
392N = (600+640) a

To find tension in rope
Just use one side
the total downward weight is 600× 9.8=5880
x-5880 =392
x=6272N

2-D momentum

A couple is a pair of forces that act to produce rotation only.
Briefly speaking,
A couple is a pair of equal, parallel but opposite forces whose effect is to produce a turning effect on a body by giving it a rotational acceleration.

Torque of this couple is the product of one of the forces and the perpendicular distance between the forces

Torque of the couple is FS.
The moment is about every point

B
It does not have to be end

Apply toque couple

C

Objects in equilibrium always form a closed vector polygon
You need to connect the tip to tail for every vector.

Assume that the resultant force on spider is 0.
Draw the vector triangle

Even if the masses are different, in a vacuum objects have the same acceleration due to gravity.

Is it in equilibrium? why

no as even if resultant force=0 resultant moment is not zero

How to derive the pgh = pressure formula (Δ P)
It is the formula for hydrostatic pressure and measures the difference between pressure at the bottom and at the top
Total pressure of a object in water = atmospheric pressure + hydrostatic pressure

Upthrust is the F = ρgV which is the weight
of liquid or gad displaced
when you add an object in water or air.
Archimedes principle- The upthrust acting
on a body is equal to the
weight of the liquid or gas displaced.
Upthrust acting on an object is due
to difference in hydrostatic
pressure.

Pressure is scalar quantity as it acts in all
direction and it’s not possible
to define a direction to it.( expl not needed)

For an object submerged in a liquid:

• Pressure on the top surface produces a
  downward force.

• Pressure on the bottom surface
  produces an
  upward force.

• Since liquid pressure
  increases with depth, the
  pressure at the bottom is greater
  than at the top.

• Therefore, the upward force
  is greater than the downward force.
  
  The resultant upward force is called upthrust:

  Net Upthrust=upward force−downward force​
  Net Upthrust = pgv
  
  volume is the volume of the object that
  experiences the upthrust
  Density of the fluid

upthrust and thrust are different
Thrust is a forward-driving force that pushes an object through space or a medium

Also, when imagining drag force in
liquid apply the same principle of air
resistance that drag increases with speed.

Weight= upthrust + drag force in liquid when object it is at constant velocity or rest.

Aci
more-
Pressure acting an object inside liquid is atmospheric pressure + hydrostatic pressure

In mgh
h is the vertical displacement

A

C

A
Pressure increases with depth and as the question said the forces are acting on equal area, the deeper the bigger the force.

Manometer
The left side has higher pressure as water is down
So we use difference in height x density x 9.81

total pressure = hydrostatic pressure + atmospheric - Not really needed in this question but just remember this.

Try this question

The between is the air pocket with air pressure p. The pressure throughout the air pocket is p.
Meaning that on both ends of the air pocket pressure is p.

Divide the w tube in two u

Left side:
So just consider pressure to be 760 in the open air tube side.
In the air pocket side the pressure needs to be greater than 760.
As pressure is directly proportional to height.
x + 760 = P

Same for right side
50-y + 760 =P
810-y=P

x+760 = 810-y
x+y = 50 So it is B or C
P can either be 760 + 20 (780) or 760 +30( 790)
So the answer is

B

On the horizontal the pressure is equal remember please, So:
Pressure of gas = Patm + P hydrostatic
1×10^5 + (1000×9.81×5)
C

Work done= force x displacement in the direction of force
Gpe formula only works in uniform gravitational field strength
The important distinction is between GPE and change in GPE.

• An object can have GPE even when it is stationary.

• GPE is usually calculated as:

  Ep=mgh or deltaEp=mgh

  where h is the height above a chosen reference level.

• If the object stays in the same place, then hh doesn't change, so:

  ΔEp​=0

Note that to calculate change in Ke = final ke - initial ke

A

Efficiency of a system is the ratio of useful energy output from the system to the total energy input.

Power is the work done per unit time
Power is also force x velocity both being in same direction.

D
(note that mg sin theta can be only used when speed is steady)

Deformation is caused by tensile or compressive forces (assumed to be in one direction)

Hooke’s law- force is directly proportional to extension provided that the limit of proportionality is not reached.

Strain- extension per unit length (No unit)

Stress-force per unit cross-sectional area that acts at right angles to a surface (Pa or Nm^-2)

Young modulus- The stress in the material divided by the strain (Pa or Nm^-2)
it measures how stiff or elastic a object is

Normal force is the force that acts at right angle to the wire
Same material and diameter mean same stress

YOUNG modulus of a wire always stays same given that it is the same material and at same temperature
Spring constant changes with dimensions

C

When it is not straight it does not obey the hooke’s law meaning that it has been permanently or temporarily deformed.

Elastic deformation-Elastic deformation is the temporary deformation of a material where it returns to its original shape and dimensions once the applied force is removed.

Plastic deformation- Plastic deformation is the permanent deformation of a material where it does not return to its original shape after the deforming force is removed.
after the elastic limit is plastic region

Elastic limit- The elastic limit is the maximum stress or force that can be applied to a material without causing permanent (plastic) deformation.

Limit of proportionality does not equal to elastic limit, it can be either that it has become permanent of temporarily deformed

C

Work done in stretching or compressing the spring or the work done by the force as the force is transferred to the elastic potential energy store.

This is true for graphs that obey Hooke's law and also for those which don't.

The graphs with no plastic deformation-
All the energy is elastic potential energy. SO, Elastic potential energy for a material deformed within its limit of proportionality is found from the area under the force-extension graph 

When it is deformed beyond elastic limit the material undergoes plastic deformation meaning the
work done in stretching or compressing the spring is elastic energy stored + energy converted to thermal/internal energy

This is for a material deformed within its limit of proportionality.
Extension in meters
The final force
Why the 1/2? Because the force starts at 0 and increases to F, so the average force is:

(0+F)/2 = F/2.
So elastic potential energy is essential average forcex extension

When stretched it stores the energy
When it is freely releases it release energy
But the energy transferred does not always equal energy released as

B
As rubber heats up when it is stretched and compressed

B
When stretched - X+Y +Z
When released it - releases energy z

A

Elastic potential energy is proportional to extension square
if wires have same spring constant
Same spring constant means same dimensions(length and area) and same material(young modulus )

answer in nxt flashcard

C

Springs in parallel the share the force

When spring constant of both spring is same
F1 = F2 = Ftotal / 2
Extension of them is same

Springs in series
F1=F2=F total (quite obvious)
total extension = e1 + e2
If springs have same spring constant then obviously the extension will be same for both.

Know this

½ (20/10) (10)²
/
½ (80/5) (10)²

B

The extension should be same and the 20/10 and 80//5 are the spring constant values

Equilibrium extension vs maximum extension on a spring

Equilibrium extension is the distance until the spring obeys the hooke’s law
can be found using the formula k = F/x

When a mass is placed on a spring it oscillates upwards and downwards, maximum extension is the extension when the mass is at the most bottom
Can be found using the formula
mgh = ½ k (x)²

Translate this on google
Г(russian 1/2/3/4 letter)

Go to previous flashcard for the answer

Electric current is the flow of charge carriers
Charge on charge carriers is quantised
this means -Charge is quantised, so a charge carrier's charge is always a whole-number multiple of the elementary charge(e).

The elementary charge is the magnitude of the charge and is always 1.6 ×10 ^-19 C
Electron has charge of -1.6×10^-19 C
Proton has a charge of 1.6×10^19 C
But both of them still have elementary charge of 1.6 ×10^-19

A current carrying conductor:
I = Anvq

n is the number density of charge carriers ( number of charge carriers( electrons or ions) per unit volume)
I is the current
A is the cross sectional area
v is the mean drift velocity ( average speed of all charged particles when there is a current),
when no current the mean drift velocity of electrons is zero, thought they are still moving.
q is the elementary charge (1.6×10^-19)

No need to know definition for EMF only understand it

Potential difference across a component is the energy transferred per unit charge.
v = energy transferred / charge
Same for EMF

Power
P = VI
P=I²R
P=V²/R

We add individual powers in parallel circuit and series circuit depending on whether current or voltage is constant

Resistance is the ratio of potential difference to current
“The ohm is the resistance of a component when a potential difference of 1 volt drives a current of 1 ampere through it”

Current and potential difference are directly proportional to each other when resistance is constant
When current =0, voltage =0
So their ratio also remains same V/I is same.
Metallic conductors have different resistances, so gradients of their graph will be different, but they will all be straight lines passing through origin.

Ohm’s law
To check if a conductor obeys make sure the resistance stays same

A conductor that does not obey ohm’s law is also known as non ohmic.

- The I–V characteristic of a filament lamp is shown.

• The line passes through the origin (as for an ohmic component).

• For very small currents and voltages, the graph is roughly a straight line.

• At higher voltages, the line starts to curve. The current is a bit less than we would have expected from a straight line. This suggests that the lamp’s resistance has increased. You can also tell that the resistance has increased because the ratio V/I is larger for higher voltages than for low voltages.

- The last point shows that resistance of a filament lamp depends on temperature. As the voltages get higher and more current flows, the lamp gets hot. As temperature increases, the resistance also increases.

At higher temperatures the ions vibrate more which obstruct the way of electrons

Resistance depends on length of wire, cross sectional area, material, temperature
Resistance is inversely proportional to length and inversely proportional to area

If material and temperature of wire is same then
p is the resistivity constant

Inverse relationship

Inverse relationship