Component 1: Motion, Energy and Matter Flashcards
SI Quantities and Units... Name - Mass Symbol - ? Name of unit - ? Abbreviation - ?
SI Quantities and Units... Name - Mass Symbol - m Name of unit - kilogram Abbreviation - kg
SI Quantities and Units... Name - Length Symbol - ? Name of unit - ? Abbreviation - ?
SI Quantities and Units... Name - Length Symbol - l Name of unit - metre Abbreviation - m
SI Quantities and Units... Name - Time Symbol - ? Name of unit - ? Abbreviation - ?
SI Quantities and Units... Name - Time Symbol - t Name of unit - second Abbreviation - s
SI Quantities and Units... Name - Electric Current Symbol - ? Name of unit - ? Abbreviation - ?
SI Quantities and Units... Name - Electric Current Symbol - I Name of unit - Ampere Abbreviation - A
SI Quantities and Units... Name - Amount of Substance Symbol - ? Name of unit - ? Abbreviation - ?
SI Quantities and Units... Name - Amount of Substance Symbol - n Name of unit - mole Abbreviation - mol
Express as SI units…
Newton (N) =
Joule (J) =
Watt (W) =
Newton (N) = kgms^(-2)
Joule (J) = kgm^(2)s^(-2) = (Nm)
Watt (W) = kgm^(2)s^(-3) = (Js^(-1))
What makes an equation homogeneous?
- Two quantities can only be added or subtracted together if they have the same units - then the answer has the same units.
- Units on both sides of the equation are the same.
What is the difference between a scalar and vector quantity?
A scalar quantity has magnitude. A vector quantity has magnitude AND direction.
Examples of scalars…
density, mass, volume, area, distance, length, speed, work, energy, power, time, resistance, temperature, pd, electric charge
Examples of vectors…
displacement, velocity, acceleration, force, momentum
How to add and subtract vectors…
Nose-to-tail method.
At AS, only need to + and - with vectors at right angles.
How to find horizontal (x) and vertical (y) components of vectors…
Trigonometry.
What is the symbol for density?
ρ (rho)
Which equation includes, Mass, Density and Volume?
ρ = m / V (kgm^(3)) = (kg)(m^(3))
(Provided in exam formula booklet, so don’t need to learn.)
What is meant by the turning effect of a force?
The turning effect of a force is also called a moment. It is dependant on the size of force, direction, and the distance between the pivotal point and where the force is applied. (A moment of a force can also be called its torque. Symbol: t )
What is the principle of moments?
For a body to be in equilibrium under the action of a number of forces…
-The resultant moment about an point is 0.
(or)
-The sum of the clockwise moments about any point is equal to the sum of the anticlockwise moments about the same point.
How do you calculate the moment of a force?
moment of a force = force x perpendicular distance (from force to point).
What is an object’s ‘centre of gravity’?
The mass of an object is spread out, however a point can be identified at which it can be considered all of its weight is acting. This point is the centre of gravity.
It is worth knowing the C of G for objects such as spheres, cylinders and cuboids.
What does it mean if a body is said to be in equilibrium?
It is moving and rotating at a constant rate, or not moving at all.
Resultant force on an object = 0
Resultant moment about any point = 0
How do you measure the density of a solid?
The two components required to calculate the density of a solid are mass and volume. Mass can be calculated using an electronic balance.
The volume of a regular shape can be calculated using equations e.g. cuboid v = lbh, cylinder v = (πd^(2)l) / 4
The volume of a irregular shape can be calculated by submerging the solid in a beaker of water. The increase in volume is the volume of the solid.
(Don’t forget using resolutions to calculate uncertainties)
How do you measure mass using the principle of moments?
Place a pivot at the C of G of the scale. Place a known mass (m), ‘y’ distance from the pivot. Move the unknown mass (M) away from the pivot on the opposite side until it reaches a distance (x), where the scale is balanced.
Mgx=mgy
(…) Mx=my
Allowing you to rearrange to find the unknown M.
Details of displacement-time graphs…
displacement (y-axis), time (x-axis)
Gradient = Δx / Δt = velocity
Straight upwards slope = positive constant velocity
Curved upwards slope (gradient decreasing) = Increasing deceleration
Horizontal slope = Stationary
Curved downwards slope = Increasing acceleration (towards origin/opposite direction)
Straight downwards slope = positive constant velocity (towards origin/opposite direction)
Details of velocity-time graphs…
velocity (y-axis), time (x-axis)
Gradient = Δv / Δt = Mean acceleration
Area between graph and x-axis = Displacement
Horizontal slope = constant velocity
Straight upwards slope = positive and constant acceleration
Straight downwards slope = Negative and constant acceleration.
What does SUVAT stand for and what are the SUVAT equations?
s (sometimes 'x') - Displacement u - Initial velocity v - Final velocity a - Acceleration t - Time
v = u + at (Given in exam)
s = (1/2)(u+v)t (Given in exam)
s = ut + (1/2)at^(2) (Given in exam)
v^(2) = u^(2) + 2as (Given in exam)
s = vt - (1/2)at^(2) (Not provided in exam)
How do you derive the SUVAT equations?
https://www.youtube.com/watch?v=fmd_oIoPTjA
How do you use the SUVAT equations?
- ) Choose which direction is positive and which is negative. Whether it be in the horizontal plane or vertical plane.
- ) Always write the quantities you know, to identify which SUVAT equation to use.
- ) Rearrange the equation so to have the value you are looking to find on one side and what you know on the other side.
- ) Insert the figures and calculate.
Describe the motion of bodies falling in a gravitational field with and without air resistance…
All objects fall freely at the same acceleration when in the same gravitational field without air resistance, this acceleration due to gravity is called ‘g’.
When an object is freely falling, if it is assumed that downwards is the positive direction, the acceleration will be g = 9.81 ms^(-2).
When an object is projected upwards the, if it is assumed upwards is the positive direction then acceleration will be -g = -9.81 ms^(-2)
So when using SUVAT equations on free falling objects or objects projected vertically upward, acceleration will be +g or -g, depending on the positive direction chosen.
(The addition of air resistance is discussed in the Dynamics chapter)
Are the vertical and horizontal motion of a body moving freely under gravity independent of each other?
Yes.
When a ball is dropped from a point, it will reach the ground at the same time as an identical ball projected horizontally from the same point.
This is because, both balls accelerate downwards at the same rate (g), which is not impacted by the velocity of ball 2.
(Must be able to explain the motion of an object due to a uniform velocity in one direction and uniform acceleration in a perpendicular direction, and perform simple
calculations.)
How do you measure g using freefall? (Equation)
You measure the time (t) it takes for an object to fall from a specific height (x).
Using x = ut + (1/2)at^(2), with u = 0, and a = g, the equation becomes:
x = (1/2)gt^(2) g = (2x) / t^(2)
How do you measure g using freefall? (Method)
Apparatus: Electromagnet AC Supply Metre Rule Steel Sphere Hinged flap Electronic timer
Method:
The steel sphere is held in place by the electromagnet, x m/cm/mm from the hinged flap, with the height measured by the metre rule. When the AC supply is switched off the timer starts and the ball falls, hitting the hinged flap, breaking the circuit and stopping the timer.
Analysis:
x is plotted against t^(2), and that means the gradient is (1/2)g. Doubling the gradient allows you to calculate g.
(There is systematic error in this method, due to short time delays between the the switch change on the AC supply and magnet / between the hinged flap and stopping the timer.)
What is Newton’s 3rd Law (N3)?
If a body A exerts a force on a body B, the B exerts an equal and opposite force on A.
What is the equation to calculate momentum from mass and velocity?
p = mv (kgms^(-2)) = (kg)(ms^(-2)) (kgms^(-2)) = (Ns)
Velocity is a vector so state its direction as well as its magnitude.
What is the principle of conservation of momentum?
The vector sum of the momenta of the bodies in an isolated system (a system where no external forces act, and no particles leave or enter) is constant.
What is the kinetic energy equation in terms of mass and velocity?
KE = (1/2)mv^(2)
kg) (m(^2)s^(-2)) = (kg)(m(^2)s^(-2)
(kg) (m(^2)s^(-2)) = (J)
What is the difference between elastic and inelastic collisions?
Elastic - Collisions which no kinetic energy is lost.
Inelastic - Collisions which kinetic energy is lost.
What happens to momentum when a force is applied to an object? (When the mass remains constant).
Momentum changes when a force is applied to the object. The resultant force applied is directly proportional to the rate of change of momentum.
F(res) = Δp / Δt (N) = (Ns) / (s)
What makes forces an N3 pair?
- The forces must be equal and opposite.
- They must act on different bodies.
- They must be the same kind of force.
What is a normal force?
If an object rests against a surface, the surface exerts a force on the object. The force is at right angles to the surface.
What is friction?
Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.
Static friction is the friction between two surfaces that are not in relative motion with each other.
Dynamic (aka Kinetic) friction is the friction between two surfaces that are in relative motion with respect to each other.
What is air resistance?
Air resistance (AKA Drag), is the force that oppose the relative motion of an object through the air.
What is a free-body diagram? And why are they useful?
A free-body diagram is used to show the forces on a particular object/body. Isolating the single object from all of the objects involved makes the forces much easier to identify.
What is the equation for Force in terms of mass and acceleration? (When the mass of an object remains constant)
F = ma
kg) (ms^(-2)) = (kg)(ms^(-2)
(kg) (ms^(-2)) = (N)