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Mr Powell 2008Index
D
Only accelerating force is gravity in vertical plane.
Assuming air resistance is negligible.
Mr Powell 2008Index
D
Using the idea that in a circle the velocity relates to pi and radius and period
Then sub out “v” from standard KE formula.
vT
rr
v
T
r
vT
f
2
2
2
2
2
22
2
22
2
2
2
2
4
2
2
1
2
1
T
mrKE
T
rmKE
T
rmKE
mvKE
Mr Powell 2008Index
C
Simply apply formulae for velocity at place x.
339.07.09.09.8
12
2
22
22
v
xAfv
Mr Powell 2008Index
B
For A & D there is no change as T m or T k
By inspection leaves B or C TL=1.414T Tm=0.707T So period is double.
g
lT
k
mT
2
2
g
lT
g
lT
l
l
22
22
k
mT
k
mT
m
m
2
12
22
Mr Powell 2008Index
A
Difference in charge is 20C spread over 120mm.
Points should cancel out 4/20th away from +4 C charge
So (120mm /20C) * 4C = 24mm
r
QV
04
Mr Powell 2008Index
A r
QV
04
1
At point P distance by simple pythagoras.
Then difference between +Q and –Q for potential hill is 2Q.
+Q and +Q cancel out.
24
2
4
1
2
0
0
22
a
QV
r
QV
aaa
Mr Powell 2008Index
B
Simply use formulae Sub in for “Q” to get It Then plug in numbers
10
2010
2
1
2
1
2
1
2
2
2
C
ItE
C
QE
Mr Powell 2008Index
D
V must go down by 10% so plug into decay equ. V=IR as constant current so plug this in as well.
sCI
V
tRC
RC
t
V
V
eVV
o
RC
t
10549.0
1ln
9.0
1ln
ln
0
IRV
IRV
VV
/
9.00
Mr Powell 2008Index
C
Q=0.5Q after 10 seconds...
4.142ln
10
102ln
5.010
0
RC
RC
RC
QeQ
eQQ
RC
RC
t
o
o
eQ
Q
367.0
367.01
Mr Powell 2008Index
A
F=BiL Hence direction of current creates opposite
effect If i -> 2i then effect doubled
Mr Powell 2008Index
C
Using FBI. Electron is negative
From image electron moves in reverse to direction of current (second finger)
B-field is first finger
Hence C as not elliptical!
Cannot be D or A/B as curves
Mr Powell 2008Index
B
Make sure you use pos->neg for current flow on second finger – rotate hand to make field N->S
Motion Downwards.
Mr Powell 2008Index
B B – no as Ws-2=Js-3
C – certainly is by units
D – Fd = work or WD/D = F
A - ATm – sub into the equation and works. & F = BIL (of course!)
NATm
mCm
sN
s
CATm
Mr Powell 2008Index
?
......
C
If speed increases then PD output goes up.
Also frequency of rotation increases according to formulae as shown.
BAN
t
tBAN
sin
sin