Physics - Derivation Hints

Derive V = u + at

A = v - u / t

Rearrange

Derive S = ut + ½ at²

use Vavg = u + v / 2 AND v = u + at

V also = s/t

sub in and rearrange.

Derive v² = u² + 2as

v = u + at

s - ut + ½ at²

Square out (v = u + at), simplify

find S in there.

Show f = ma is a special case of newtons 2nd law.

First write out newtons 2nd law.

F ∝ mv - mu / t

factorise out m, and sub in a

then add constant k, and show why it is 1.

F = ma

Derive v = rw

θ = s/r

Divide both sides by t

get W and V in there.

rearrange.

Derive a relationship between the period of orbit and the radius of orbit.

F = G(m₁m₂)/r², F = mv²/r , v = s/t, s = 2(pi)(r)

set two equal to eachother and cancel.

sub in 2pir/t

multiply out and cancel

get in terms of t.

Show an object obeying hookes law undergoes SHM

F ∝ -s
F = -ks

sub in ma

-k/m = -w²

Derive the diffraction equation nλ = dsinθ

Draw diagram.

sinθ = (n)(lambda) / d

rearrange.

Derive an equation for resistors in series

Draw diagram

v = v1 + v2
ir = ir1 + ir2 ( I is a constant)

r1 = r2 = r3

derive equation for resistors in parallel

Draw diagram

I = v/r

equate them all, v’s cancel.

1/r = 1/r1 + 1/r2 ….

Derive the force on a moving charge (F = QVB)

I = Q/t, F = ILB

sub in q/t for I, and then vt for L

t’s cancel.