AQA Physics paper 2

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Vector quantities

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Physics

11th

146 Terms

1

Vector quantities

have magnitude and direction

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Examples of vector quantities

force, velocity, momentum, acceleration

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3

Scalar quantities

Only have magnitude and no direction

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4

Examples of scalar quantities

speed, distance, time

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5

Vectors

represented by an arrow - the length of the arrow shows the magnitude. The direction of the arrow shows the direction of the quantity

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6

A force is

a push or pull on an object that is caused by it interacting with something

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when two objects are touching for the force to act, its a ....

contact force

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examples of contact forces

friction, air resistance, tension in ropes. etc

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If the objects do not need to be touching for the force to act, the force is a ......

non contact force

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10

examples of non contact forces

magnetic force and gravitational force

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11

Two effects of gravity

  • makes all things fall towards the ground

  • gives everything a weight

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12

What is mass?

The amount of material an object is made of It is the same value everywhere Measured using a mass balance

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What is weight?

The force acting on an object due to gravity It depends on the strength of the gravitational field at the location of the object Measured using a calibrated spring balance - newtonmeter

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Equation for Weight

Weight (N) = Mass (kg) x Gravitational Field Strength (N/kg) W=mg

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What is weight directly proportional to?

mass

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What are free body diagrams?

Diagrams that show all the forces acting on an object

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What is the resultant force?

The single force that replaces multiple forces acting at a single point

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How is work done?

When a force moves an object through a distance, energy is transferred and work is done on the object

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Equation for 'Work Done'

Work done (J) = Force (N) x Distance (m) W=Fs

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What is 1J equal to?

1Nm

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If all the forces acting on an object combine to give a resultant force of zero then the object is in ?

equilibrium

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What could happen when you apply a force to an object?

It may stretch, compress or bend

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What happens when an object is elastically deformed

The object can go back to its original shape and length after the force has been removed

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What happens when an object is inelastically deformed?

The object won't return to its original shape and length after the force has been removed

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Equation for Force 1

Force (N) = Spring Constant (N/m) x Extension (m) F=ke

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Extension is directly proportional to? (Hooke's Law)

The force applied F∝e

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What is the limit of proportionality?

The point at which extension is no longer directly proportional to force

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What is momentum?

Momentum is the product of mass and velocity. Momentum is also a vector quantity – this means it has both a magnitude and an associated direction

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Equation for Elastic potential energy

Elastic potential energy (J) = 1/2 x Spring Constant (N/m) x extension^2 (m) Ee = 1/2Ke^2

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What is displacement?

It measures the distance and direction in a straight line from an object's starting point to its finishing point

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What is velocity?

Speed (how fast you're going) in a given direction

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Equation for Speed

Distance Travelled (m) = Speed (m/s) x Time (s) s=vt

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typical speeds

typical speed of a person walking 1.5m/s typical speed of a person running 3m/s Typical speed of a person cycling 6m/s what is the typical speed of a car 25m/s Typical speed of a train 55m/s Typical speed of a plane 250m/s

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What factors affect speed?

Fitness of the person Age of the person Distance travelled Terrain Climate Gender of the person

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What factors affect wind speed?

Temperature Atmospheric pressure Any large buildings or structures nearby e.g. forests reduce wind speed travelling through them

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Acceleration

change in velocity in a certain amount of time

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Equation for Acceleration

Acceleration (m/s²) = Change in Velocity (m/s) / Time (s) a=Δv/t

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What is deceleration?

Negative acceleration - when something slows down, the change in velocity is negative

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What is constant acceleration?

Uniform acceleration - acceleration due to gravity is uniform for objects in free fall

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Equation for Uniform Acceleration

Final velocity² (m/s) - Initial velocity² (m/s) = 2 x Acceleration (m/s²) x Distance (m) v²-u²=2as

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Distance-Time Graphs - Features

  1. Gradient = speed

  2. Flat sections = object is stationary

  3. Straight uphill sections = object is travelling at a steady speed

  4. Curves = object is accelerating or decelerating

  5. Steepening curve = object is speeding up

  6. Levelling off curve = object is slowing down

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Velocity-Time Graphs - Features

  1. Gradient = acceleration

  2. Flat sections = object is travelling at a steady speed

  3. Uphill sections = object is accelerating

  4. Downhill sections = object is decelerating

  5. Curves = object is changing acceleration The steeper the graph, the greater the acceleration or deceleration

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What does friction do?

It causes objects to slow down when they rub against another surface

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What is drag?

The resistance you get in a fluid Air resistance is a type of drag

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How do you reduce drag?

Keep the shape of an object streamlined

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process of a falling object

  1. When a falling object first sets off, the force of gravity is much more than the frictional force slowing it down, therefore the object accelerates

  2. As the speed increases, the friction builds up

  3. The acceleration is gradually reduced until eventually, the friction force is equal to the accelerating force - the resultant force is 0

  4. At this point, it will have reached maximum speed or terminal velocity and will fall at a steady speed

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What determines the terminal velocity?

The terminal velocity of any object is determined by its drag in comparison to its weight

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In the last few metres of his descent during the parachute stage, the person travels at a terminal velocity. Explain why (2)

  • Because the drag had the same force on the parachuter as the weight

  • weight pushes him down

  • Drag/air resisance keeps him. Hes reached terminal velocity (2)

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What is the tendency for objects to continue at the same speed in the same direction called?

Inertia

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50

Newton's First Law - Law of Inertia

If the resultant force on a stationary object is zero, the object will remain stationary If the resultant force on a moving object is zero, it will just carry on moving at the same velocity

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Newton's Second Law

Force ∝ Acceleration Acceleration is inversely proportional to the mass of an object

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Equation for resultant force

Resultant Force (N) = mass (Kg) x acceleration (M/s^2) F=ma

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Newtons third Law

When two objects interact, the forces they exert on each other are equal and opposite An action always has an equal and opposite reaction

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Explain why you don't move when you lean on a wall, even though you are exerting a force (3)

When you lean on a wall, you exert a force on the wall. Due to Newtons third Law, the wall also exerts an equal but opposite force back onto you.(1) You also exert a force on the ground and the ground exerts a force on you(1)The resultant force is zero, so you remain stationary (1)

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Investigating effect of mass

Add masses to the trolley one at a time to increase the mass of the system 2)Record average acceleration for each mass To reduce the effect of friction use an air track.

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Investigating acceleration

  1. Set up a trolley so it holds a piece of card that will interrupt the signal on the light gate twice.

  2. This will measure acceleration.

  3. Using a light measure the first and second point it passes. Work out an average acceleration. To reduce the effect of friction use an air track.

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investigating effect of force

  1. Keep total mass of the system the same but the change the mass on hook

  2. Start with all the masses onto trolley

  3. Transfer the hooks one at a time to the hook, to increase the accelerating force

  4. The mass of the system stays the same as you're transferring the masses from one part of the system to another (the hook)

  5. Record the average acceleration for each force To reduce the effect of friction use an air track.

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58

What is the thinking distance?

How far the car travels during the driver's reaction time

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What is the braking distance?

The distance taken to stop under the braking force

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What is stopping distance?

The distance it takes for a car to stop in an emergency

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Equation for Stopping Distance

Stopping Distance = Thinking Distance + Braking Distance

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What is thinking distance affected by?

  1. Speed - the faster you're going, the further you'll travel during your reaction time

  2. Your reaction time - the longer it is, the longer your thinking distance

  3. Alcohol

  4. Drugs

  5. Sleep deprivation

  6. Distractions

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What is braking distance affected by?

  1. Speed - the faster a vehicle travels, the longer it takes to stop

  2. Weather/Road surface - if it's wet or icy, there is less grip (and less friction) between a vehicle's tyres and the road, which can cause tyres to skid

  3. Condition of tyres - if the tyres are bald, then they cannot get rid of water in wet conditions, thus leading to skidding on top of the water

  4. Quality of brakes - if brakes are worn or faulty, they won't be able to apply as much force as well-maintained brakes, which could be dangerous when wanting to brake hard

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What happens when a vehicle is going really fast?

It has more energy in its kinetic energy stores, so the more work needs to be done to stop it - a greater braking force will be needed to make the vehicle stop within a certain distance, therefore the deceleration will be larger The larger the deceleration, the more dangerous it will be as the brakes could overheat or cause the vehicle to skid

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65

At one time in the investigation, the cyclist was distracted. The distraction increased the stopping distance of the bike but did not affect the braking distance Explain why the stopping distance increased

The cyclist's reaction time increased (1) The thinking distance increased (1) Stopping distance is thinking distance plus braking distance (1)

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66

Describe how Newtons third law applies to the forces between the bike and the trailer

The forces of the bike on the trailer and the trailer on the bike are equal in size and opposite in direction

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Typical reaction time

in between 0.2 - 0.9

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Measure reaction time :

  • Ruler drop test

  • Computer based experiments

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Marks reaction time is tested using the ruler drop test. He is tested early in the afternoon and at night. In the afternoon, he catches the ruler after it has fallen a distance of 16.2cm. At night, he catches the ruler after it has fallen 18.5cm. a) Calculate Mark's reaction time in the afternoon. Give your answer to 2 significant figures

v^2 - u^2 = 2as v^2 = 2 x 9.8 x 0.162 + 0 = 3.1752 (1) v= √3.1752 = 1.781 m/s (1) a = Δv/t t = Δv / a = 1.781 / 9.8 = 0.181 s (1) = 0.18 (to s.f)

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What is momentum?

How much 'oomph' an object has All moving objects have it The momentum of one thing is always equal to the momentum of another thing e.g. a skateboarder has the same momentum as the skateboard

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Equation for Momentum

Momentum (kg m/s) = mass (kg) x velocity (m/s) p=mv

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What is the conservation of momentum?

In a closed system, the total momentum before an event is the same as after the event

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Wave

something that transfers energy from one place to another

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transverse waves

The vibrations are perpendicular (at right angles) to the direction of energy transfer

  • direction of energy transfer is sideways - but oscillations are up and down

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examples of transverse waves

  • electromagnetic waves e.g light

  • Ripples and waves in water

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longitudinal waves

The oscillations are parallel to the direction of energy transfer

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examples of longitudinal waves

sound waves e.g ultrasound

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78

Explain the differences between the properties of the sound waves produced by the motor and the water waves in the ripple tank

Sound waves are longitudinal, in longitudinal waves the oscillations are parallel to the direction of energy transfer

Water waves are transverse. In transverse waves, the oscillations are perpendicular to the direction of energy transfer

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79

Explain why the light is refracted

Because light travels more slowly (in the glass block than in the air) so it changes direction

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Compression

regions where the air particles are very close together

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Rarefaction

regions where the air particles are spaced out

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wave speed equation

wave speed (m/s) = frequency (H/z) x wavelength (m) V = f λ

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amplitude

The amplitude of a wave is the greatest distance a point on the wave moves from its undisturbed postion

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wavelength

The wavelength of a wave is the distance from a point on one way to the equivalent point on the adjacent wave

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measure wavelength on longitudinal waves

measure from one compression to the next compression or from one rarefaction to the next rarefaction

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frequency

the number of waves passing a point each second 1 Hz = 1 wave per second

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period

time (in seconds) for one wave to pass a point

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equation for period

period = 1/frequency (H/z)

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What is the speed of sound in air?

330m/s

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90

measuring the speed of water ripples practical

use signal generator attached to dipper of ripple tank - can create water waves at set frequency use strobe light to see wave crests on a screen below the tank increase frequency of strobe light until wave pattern on the screen appears to freeze and stop moving. Distance between each shadow line is equal to one wavelength Measure the distance between shadow lines that are 10 wavelength apart, then divide this distance by 10 to find the average wavelength use V = f λ

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strobe is effective because

it allows you to measure a still pattern instead of a constantly moving one

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required practical: waves in a solid

  • Turn on the signal generator and vibration transducer. String will start to vibrate

  • Adjust the frequency of the signal generator until there's a clear wave on the string

  • Measure the wavelength of these waves by measuring the lengths of 5 half wavelengths in one go, then divide to get the mean half wavelength, then double this to get a full wavelength

  • Frequency of the wave is whatever the signal generator is set to

  • use V = f λ to find the speed of the wave

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3 things that could happen when a wave meets a boundary between two materials :

  • The wave is transmitted through the material - carries on travelling

  • The wave is absorbed by the material

  • The wave is reflected - 'sent back' - this is how echoes are produced

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Rule for all reflected waves

Angle of incidence = angle of reflection

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What is the angle of incidence?

The angle between the incoming wave and the normal

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What is the angle of reflection?

the angle between the refracted wave and the normal

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What is the normal?

An imaginary line that's perpendicular to the surface at the point of incidence

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Length of a radio wave

1m-10⁴m

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99

Length of a microwave

10⁻²m

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100

Length of a infrared wave

10⁻⁵m

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