Mechanics Flashcards
speed
rate of change of distance with respect to time (ms^-1)
acceleration
rate of change of velocity with respect to time (ms^-2)
displacement
distance in a given direction (m)
vector quantity
velocity
rate of change of displacement with respect to time (ms^-1)
vector quantity
acceleration due to gravity
in the absence of air resistance, all objects near the earth’s surface, if released, will fall downwards with the same acceleration. This is acceleration due to gravity. g=9.8ms^-2
scalar
quantity with magnitude but no direction
vector
quantity with direction and magnitude (oh yeah!!)
force
anything that causes the velocity of an object to change i.e. speed up/slow down.
unit: Newton (N)
mass
(m) of a body is a measure of how difficult it is to accelerate that body
unit: kg
average speed
distance/time
the newton
1N is the force that gives a mass of 1kg an acceleration of 1ms^-1
weight
the weight of an object is the force of the earth’s gravity acting on it.
W=mg//F=ma
unit: Newton
momentum
ρ = mv
unit: kgms^-1 kilogram metre per second
Newton’s 1st law
law of inertia: a body will remain in a state of rest or travelling with a constant velocity unless an external unbalanced force acts on it
newton’s 2nd law
F = ma //
when an unbalanced force acts on a body the rate of change of the body’s momentum is directly proportional to the force and takes place in the direction of the force:
F ∝ mv-mu/t
newton’s 3rd law
every force has an equal and opposite force. i.e. friction opposes motion
friction
force that directly opposes motion in the opposite direction to the motion
principle of the conservation of momentum
momentum before = momentum after in a closed system (no external forces).
m1u1 + m2u2 = m1v1 + m2v2
density
mass per unit volume;
ρ = m/V
unit: kgm^-3
pressure
force per unit area
unit: pascal (Pa) or Nm^-2
pressure in solids
P = F/A
pressure in liquids
P = ρgh
archimedes’ principle
states that when an object is partially/fully immersed in a fluid it experiences an upthrust equal in size to the weight of the fluid displaced
law of flotation
states that the weight of a floating object is equal to the weight of the liquid displaced
boyle’s law
states that at a constant temperature the volume of a fixed mass of gas is inversely proportional to its pressure
P ∝ 1/V
PV = k
newton’s law of universal gravitation
any two point masses in the universe attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them
F ∝ m1m2/d^2 //
F = Gm1m2/d^2 //
F = GM/d^2