head start Flashcards
what is standard scientific notation?
using conventional symbols and units, and writing very large and very small numbers in standard form
what is index notation?
writing units like m/s as ms^-1
what does ms^-1 mean?
m/s
what is the standard symbol and unit for displacement?
symbol: s
unit: metre, m
what is the standard symbol and unit for time?
symbol: t
unit: second, s
what is the standard symbol and unit for velocity?
symbol: v
unit: metre per second, ms^-1
what is the standard symbol and unit for acceleration?
symbol: a
unit: metre per second squared, ms^-2
what is the symbol for metres per second squared?
ms^-2
what is the standard symbol and unit for mass?
symbol: m
unit: kilogram, kg
what is the standard symbol and unit for force?
symbol: F
unit: newton, N
what is the standard symbol and unit for gravitational field strength?
symbol: g
unit: newton per kilogram, N kg^-1
what is the standard symbol and unit for energy?
symbol: E
unit: joule, J
what is the standard symbol and unit for work?
symbol: W
unit: joule, J
what is the standard symbol and unit for power?
symbol: P
unit: watt, W
what is the standard symbol and unit for frequency?
symbol: f
unit: hertz, Hz
what is the standard symbol and unit for wavelength?
symbol: λ
unit: metre, m
what is the standard symbol and unit for charge?
symbol: Q
unit: coulomb, C
what is the standard symbol and unit for electric current?
symbol: I
unit: ampere, A
what is the standard symbol and unit for potential difference?
symbol: V
unit: volt, V
what is the standard symbol and unit for resistance?
symbol: R
unit: ohm, Ω
what does the prefix “tera” (T) mean?
a multiple of 10^12
what does the prefix giga (G) mean?
a multiple of 10^9
what does a prefix of mega (M) mean?
a multiple of 10^6
what does a prefix of kilo (k) mean?
10^3
what does a prefix of centi- (c) mean?
a multiple of 10^-2
what does a prefix of “milli-“ (m) mean?
a multiple of 10^-3
what does a prefix of “micro-“ (μ) mean?
a multiple of 10^-6
what does a prefix of “nano-“ (n) mean?
a multiple of 10^-9
what does a prefix of “pico-“ (p) mean?
a multiple of 10^-12
what does a prefix of “femto-“ (f) mean?
a multiple of 10^-15
what do you do if the question asks you to “give your answer to an appropriate number of significant figures”?
round your answers to the same number of significant figures as the given data value you’ve used in the calculation with the least significant figures. Then write the number of significant figures you’ve rounded your answer to
give some limitations of the equation speed = distance/time
- it only tells you the average speed. The object could vary its speed from fast to slow and even go backwards. So long as it gets from A to B in the same time you get the same answer.
- We assume that the object takes the shortest possible path between the two points (a straight line) rather than meandering around
give the equation that connects displacement, velocity and time taken (include units)
velocity (ms^-1) = displacement (m) / time taken (s)
v = s/t
what do you need to do whenever you make a scale drawing?
make sure you state the scale you are using
can you use an arrow to represent velocity, because it’s a vector?
yes - the longer the arrow, the greater the speed of the object. A typical scale might be 1 cm to 1 ms^-1
what do you do to add two velocity or displacement distances?
you can’t simply add together the two distances as this doesn’t account for the different directions of the vectors. What you do is:
1. Draw arrows representing the two vectors
2. Place the arrows one after the other “tip-to-tail”.
3. Draw a third arrow from start to finish. This is your resultant vector.
OR use Pythagoras if the vectors make a right angle triangle
how do you subtract vectors?
you need to flip the direction of the vector you are subtracting. This changes the sign of the vector. Adding the flipped vector is the same as subtracting the vector (3-4 = 3 + -4). If the vectors are at right angles you can also use Pythagoras.
what is resolving vectors?
basically the opposite of finding the resultant - you start from the resultant vector and split it into two separate vectors at right angles to each other.
what do you need to do to find the components of a vector, v?
you need to use trigonometry (a resultant vector and its components make a right-angled triangle - you can use cos to find the lengths of the components or the angles)
why is it useful to resolve vectors? Give a real life example of this.
because the two components of a vector don’t affect each other. This means you can deal with the two directions completely separately:
e.g. if you throw a ball diagonally up and to the right:
- only the vertical component of the velocity is affected by gravity
- you can calculate the ball’s vertical velocity (which will be affected by gravity)
- and you can calculate the ball’s horizontal velocity (which won’t be affected by gravity)
what is acceleration? is it a scalar or a vector?
the rate of change of velocity. Like velocity, it is a vector quantity.
give two equations for acceleration, include units
- acceleration (ms^-2) = change in velocity (ms^-1) / time taken (s) ((delta v) / t)
- acceleration = (final velocity - initial velocity)/time taken (a = (v-u)/t)
give an equation for acceleration, include units
acceleration (ms^-2) = change in velocity (ms^-1) / time taken (s)
delta v / t, or (v-u)/t where v is the final velocity and u is the initial velocity.
what is deceleration? Which direction does it act in?
negative acceleration and acts in the opposite direction to motion.
what do you do when calculating acceleration with velocities in different directions?
you’ll often only need to think about velocities in one dimension, say left to right. But you still need to recognise the difference between velocities from right to left and velocities from left to right.
choose a direction to be positive (usually right). All velocities in this direction will from now on be positive, and all those in the opposite direction will be negative
what is the acceleration due to gravity, and what is the symbol for it? Is it usually positive or negative?
when an object is dropped, it accelerates downwards at a constant rate of roughly 9.81 ms^-2. This is the acceleration due to gravity and it has the symbol g. It usually seems sensible to take the upward direction as positive and down as negative, making the acceleration due to gravity -9.81 ms^-2
what does a displacement-time graph tell you? What does it not tell you?
how far an object is from a given point, in a given direction, as time goes on. As the object moves away from that point the displacement on the graph goes up, and as it moves towards it the displacement goes down. However, these graphs only tell you about the motion in one dimension - e.g. a graph could tell you how far up a ball had been thrown, but not how far it has moved horizontally.
what is the gradient of the line in a displacement-time graph?
the velocity - velocity = displacement / time, so the gradient of a displacement-time graph tells you how fast an object is travelling, and what direction it is moving in.
what does a straight line in a displacement-time graph mean?
the velocity is constant
what does a curved line in a displacement-time graph mean?
the object is accelerating or decelerating (the velocity is changing)
on a displacement-time graph, does a steepening curve mean acceleration or deceleration?
acceleration
on a displacement-time graph, does a flattening curve mean the object is accelerating or decelerating?
decelerating
what can you use a velocity-time graph to calculate?
- the distance the object has moved
- The acceleration
what is the area under the line in a velocity-time graph? Why?
the distance travelled - the area under the line is usually a trapezium, sowhen you’re working out the area, you’re multiplying time (the horizontal length) by average speed (the average vertical length) so the result is distance
give 2 ways to work out the area under a velocity time graph
- divide the shape into trapeziums, triangles, and/or rectangles and add up the area of each one
- Or work out how many metres each grid square on the graph is worth, then multiply by the number of squares under the line. For squares cut by a diagonal part of the line, you’ll need to estimate the fraction of the square that’s under the line
what is the gradient of the line in a velocity-time graph?
the acceleration - negative gradient means deceleration
what does a curved line mean in a velocity time graph?
that the acceleration is changing - if the line is curved, the acceleration is not constant - a steepening curve means the acceleration is increasing, and a flattening curve means the acceleration is decreasing.
what is the resultant force?
the sum of all the forces
what is Newton’s first law? What does this mean?
Newton’s First law states that the velocity of an object will not change unless a resultant force acts on it. This means an object will stay still or move in a straight line at a constant speed, unless there is a resultant force acting on it.
what does a resultant force cause an object to do?
accelerate in the direction of the force
what is Newton’s Second Law?
Newton’s second law states that the acceleration is directly proportional to the resultant force - F = ma
what is Newton’s third law?
Newton’s Third Law states that each force has an equal and opposite reaction force