Topic 2 Mechanics Flashcards
scalars
no direction only size
- mass
- energy
- temperature
- distance
- power
- speed
- time
vectors
both direction and size
- pressure
- force
- acceleration
- magnetic/electric/gravitational field strength
- displacement
- momentum
- velocity
distance definition
how far you have travelled (m)
displacement definition
the distance revelled in a particular direction (m)
speed definiiton
the rate of change of distance (distance/t)
velocity definition
the rate of change of displacement (displacement/t)
instantaneous speed definition
the rate of change of distance at one particular time (ms^-1)
average speed definition
the speed over a period of time (ms^-1)
acceleration definition
rate of change of velocity (v/t) ms^-2
when should you use equations of motion eg. v=u+at
if an object is accelerating at a constant rate ie. undergoing uniform acceleration
gradient of displacement-time graph represents
velocity
gradient of velocity-time graph represents
acceleration
area below line of velocity-time graph represents
displacement
area below line of acceleration-time graph represents
change in velocity (*still speeding up but the increase of velocity is getting less)
area below line of acceleration-time graph represents
change in velocity (*still speeding up but the increase of velocity is getting less)
area above x-axis of displacement graph represents
displacement in a positive direction, eg to the right of the origin
area below x-axis of displacement graph represents
displacement in a negative direction, eg. to the left of the origin
area above x-axis of velocity graph represents
motion in a positive direction (regardless of position)
area below x-axis of velocity graph represents
motion in a negative direction
area above x-axis of acceleration graph represents
acceleration in a positive direction (shows the direction of the net force)
area below x-axis of velocity graph represents
acceleration in a negative direction
relative velocity definition
the apparent or relative velocity of an object depends on the situation of the observer (called their frame of reference)
projectile motion definition
a projectile is an object moving through the air under the influence of only one force - gravity
why does the trajectory (path) of a projectile motion follows a parabola?
- VERTICAL component of velocity is constantly CHANGING (due to the force of gravity)
- HORIZONTAL component of the velocity is CONSTANT (assuming no air resistance)
- at the top vertical velocity = 0
how does the trajectory of a projectile motion object change with air resistance?
- shorter range
- lower maximum height that is reacher earlier
- gradient steeper on way down
see pg 16 topic 2 book for picture
projectile problems: horizontally, eg fired of cliff
what is the initial vertical velocity and horizontal velocity
initial vertical velocity = 0
horizontal velocity = launch velocity, v
projectile problems: at an angle above the horizontal
what is the initial vertical velocity and horizontal velocity
initial vertical velocity = v sinθ
horizontal velocity = v cosθ
projectile problems: at an angle below the horizontal
what is the initial vertical velocity and horizontal velocity
initial vertical velocity = v sinθ
horizontal velocity = v cosθ
projectile motion:
vertical motion is considered when calculating ________________
horizontal motion is considered when calculating ________________
VERTICAL motion is considered when calculating maximum HEIGHT reached or TIME of flight
HORIZONTAL motion is considered when calculating RANGE
points to remember for projectile problems
- at the highest point vertical velocity is zero
- acceleration is always downwards at 9.81ms^–2
- horizontal velocity is constant
- range = horizontal velocity x time of flight
- problems may be solved using kinematic equations of conservation of energy
what equation is used for VERTICAL motion
(max height, time in air)
s = ut + 1/2 at^2
v^2 = u^2 + 2as
v = u + at
what does fluid resistance (drag) depend on
- the velocity of the object relative to the fluid
- the size and shape of the object
- the fluid used (its viscosity)