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M1 Essentials

Chris Kay Maths AS level Inglés 21 fichas

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1ParticleMass, but no size
2Rough/SmoothFriction present/not present
3LightNo Mass
4Rigid bodyMass and Size, does not deform
5Elastic/InelasticDeforms/does not deform
6PlaneFlat surface (eg, a slope)
7Vector quantitiesDisplacement
Velocity
Acceleration
Force
8Scalar quantitiesDistance (m)
Speed (ms^-1)
(Magnitude of) acceleration (ms^-2)
(Magnitude of) force (N)
mass (kg)
time (s)
9Displacement-Time graphDisplacement = Height
Velocity = Gradient
10Velocity-Time graphDisplacement = Area
Velocity = Height
Acceleration = Gradient
11SUVAT valuess = displacement (m)
u = initial velocity (ms^-1)
v = final velocity (ms^-1)
a = acceleration (ms^-2)
t = time (s)
12SUVAT equationsv = u+at
v^2 = u^2+2as
s = 1/2(u+v)t
s = ut+1/2at^2
s = vt-1/2at^2
13Manipulating vectors[a] + [c] = [a+-c]
[b] - [d] = [b+-d]
k*[a] = [ka]
[b] [kb]
14Resolving vectorsF = [F cos A]
[F sin A]
A = angle
15Kinematics in 2 dimensionsIn 1 dimensional problems, direction is given as +ve or -ve
In 2 dimensional problems, direction is defined by the vector
16EquilibriumA particle in equilibrium has constant velocity (could be at rest), and has a resultant force of 0N acting on it (forces are balanced)
17Always true FrictionF<= uR
18In motion or limiting frictionF = uR
19Newton's second lawF = ma
20ProjectilesHorizontal: v constant
Vertical: a = -9.8, SUVAT equations
21Conservation of momentumm1u+m2u=m1v+m2v