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Summary 1st term PFC CHEM1111 $3.86   Add to cart

Summary

Summary 1st term PFC CHEM1111

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A condensed summary of all relevant equations and graphs for physics for chemists term 1, with detailed explanations. This significantly reduces time spent revising this module.

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  • May 28, 2023
  • 10
  • 2022/2023
  • Summary
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Vector Algebra
·
(a1 is magnitude of a, if this is 1 then it's a




mit vector, represented by a

· Vector
of zolength is the null vecto -8) (bold zero

Normalisation
to find unit vector do A
1a1

Centre of mass equation
[2 =2 -

0
Itotal
what is the angle betwee
mass of e.g 1)b (5,
(2,2, 3,4)
-




molente
a
= =




hydrogen
-




(a) (2 3 12



:if diatomic
+ =


=




(b) (5312 558
= +
=




there
moleute

of are a.b (2)(5) (2)( 3) 1 17(R)
-
+ -




the divide
+

=




e.8
= 2




byz, if coso =




cosO=
s
Eso
840
0
=




scalar dot product ↑
dot product is and a gives
mal
a.b
a magnitudes as a direction of velocity3) and
=




bond angle
gives
between two sides.

(abi)i [dyby(j (acbz(k
9.b =
+
Divide by unit vector length, e.g
overall
+




if gives value of -1,
meay bonds are 1800 to
each other




cross product
cross product by two lines

|axbl absinO and b
=




gives line at
~
magnitudes of a a
have


normaldisease
(9ybz xzby)i (a2bx anbz)j
In
axb
(anby -aybx)l
=
-




+ -
+




A
=
a

dee use matrices to calculate
this formula
and then rearrange.
more
easing
so form
Mis




I laybaitasbitcan
sell-bearin-Byai-base in

Find
determinant
lit:it is it) b Gross produt
↳ to two original
othogonal
=
-
43i +
135 k
+




vectors

, ↑inematics
v
A=
=




a
d=
=




for object with constant acceleration

r(t)
Jadt
=




-at + ro-constant/velocity at t 0)=




r(t) =

SrC+)d+
=
((at voldf +




taterot
=



+ro-where - is is

the initial
position

Newton's first Law

A body remains at rest or trounds at a constant velocity unless
a net external force acts on it,


Newtons second Law
of body to the net force
the acceleration a is proportional
acting on it and inversely proportional to it's mass


F ma =




Newton's third Law
when one body exsets a force on a second body, the


second body expects a force of equal size and

opposite direction on the first body.

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