蔥四第張六第 日二初月九年酉辛歷夏
WAH KIU YAT PO
郭日僑華
1982
中學會考試題預習專欄
(ii)What is the direction
and magnitude of the
force exerted
((-)
物理
明德出版社盧雄團提供資料
PHYSICS (1)
MILL & DALE. PRESS LTD
Mechanics
Exercise. One
(Where necessary, take
the acceleration due
gravity, g=10 ms-2)
(a) In figure 1, a wheel
of mass 100kg and 10m
in diameter reata on
a horizontal surface.
Fi
4m
What horizontal force
applied at the axle
would be necessary
to enable it to
surmount a step oỏi
height 4 meters?
1982
force exerte
to the wheel so that
the wheel will be
pulled up the step?
(b)In figure 2, two blocks
of masses 10kg and 5kg are placed in contact.
on a frictionless table
A horizontal force F
is applied to one of
the blocks,
∙lokg ・5 kg.
Fig. 2
Find the force between
the blocks if
(1)F-15N,
is pplied
the 10kg block,
(ii)F=15N, is applied
the 5kg block.
In figure 3, a block hange from a spring balance supported from the ceiling
of an.
square of the roots of
x-x-5-0
中學會考試題預習專欄
Express your equation
2
the form ax +bx+c=0;
數
(-).
where a, b and c are
明德出版社文長波提供資料 integers.
MATHEMATICS(Syll,2) (1)
2.
MILL & DALE PRESS LTD,
CP MAN
This course provides the candidates of HKCEE 1982 a general revision in
Mathematics{Alternate Syllabus). A knowledge of Mathematics up to IKCEE is assumed, and the subject is developed by a concentrate treatment, in which euch exercise is used to illustrate ideas already treated.
Exercise.
Attempt All questions in
Section A and any Five questions in Section B. (Geometry theorem need not be quoted when used in Section A)
Section A
Form a quadratic equation whose roots are the
If tanA and 270 A43609
find the value of
2ainA-coSA 38ïuA+COSA
In the figure, PQ/BC BC-8cm, PQ«5cm; the lines BC, Pu are 2cm apart. Find the area of APO
manufacturer'§ cate-
logued prices are 25%
above cost, but buyers are
allowed a discount of 8%
off these prices. What is
the manufacturer's net
gain per cent?
*) If the elevator has RO
upward acceleration of
2.5ma and the balance
reads 100N, what is
the ture weight of the
block?
(b)What sort of motion
wil the elevatör
perform if the balance.
reads 64N.
e)What will the balance
read if the elevator
moves upwards with uniform speed.
(d)What will the balance
read if the elevator
noves downwards with
uniform speed.
)What will the balance
read if the elevator cable breaks?
5.
二期星
3. In figure, a uniform ladder of mass 160kg and
length 10cm is placed
vith its upper end against a smooth
vertical wall. If the
lower end of the ladder
is on from the foot of
the
(1)construct a force
diagram indicating all the forces acting on
the ladder.
(ii) find the magnitude
and direction of the force acting on the
upper end of the
ladder.
find the magnitude
direction of frict-
ional force between
the lower end of the
ladder and the hor
Section B
In the figure, £A-LB-90° 19. ¿AED=30°, ¿CEB÷60°, AD×4cm In the figure, ABCDEF -BC»3/3en, Calculate the
length of DC.
Find the value of X, if
51ogX-1-410g2-1og5,
the base of logarithm
being 10:
7.9
The first three terms of
a geometric
are (2,2, Y
fourth term:
8.
ogression
Find the
In the figure, 0) is the centre of the circle. AB
is the diameter LABQ=28°
a regular hexagon of side 7cu and the traingles are all isosceles, each hav- ing its equal sides 8cm Tong. It is then folded along the edges of the hexagon to form a right pyranid with ABCDEF -* base and with the six points P,Q,R,S,T,U coming together at the
may V
Calculate;
(•)height of the pyramid
and AQ40p, Calculateza(P. (b)volume of the pyramid
日九廿月九年一八九一曆公年十七國民華中目播离敬
izontal fluor,
(iv)find the resulant
force acting on the
lower end of the
ladder.
In figure 5, a bullet of mass 0.01kg is shot frorizontally through the centre of 2kg wooden block A with velocity 2400ms and becomes
embedded in a 0.99kg
wooden block B. If the
centre of gravity of
block A is observed to rise a vertical distanc of 0.2m, calculatë
(*)
fi)the velocity of block
A after the bullet a
emerges,
(ii)the velocity of the
bullet as it emerges
from block
(b)If the centre of
gravity of block B
observed to rise h
meters, find h.
The bisector of LADC meets
A¤ at Y. If BX is a line
parallel to DX meeting
AC at X, prove that (#) 4 ABX FACDY. (b)BXDY is a // gram
4 ABY AD A BCY DC
(c)
11.
If(x+y) ∞ (x-y), show that
(*):xxy
(b) llence, deduce that
‚2 ) x (x2-xy+y2)
12
A particle 1 starts from.
a point
bt 0 and moves along straight line so that its velocity V m/s after
time t sec. is given by
2 2-6t+5.
Calculate
a)the velocity with which
the particle leave the point 0%
-B
Fig. 5
figure 6, a uniform rod of mass 1.2kg, length.
65 and specific gravity
0.5 is hinged at one end
3m below the water
surface. A weight wis
attached to the other
end of the rod so that
5m of the rod are
submerged.
Fig. 6
Water
(1)Where is the point
application of the bouyant fore
on the rod?
(ii)Find the magnitude
of the bouyant mentioned in (1)
(111)Find the weight
be paid back in 3 equal
the annual instalments,
first instalment being. paid at the end of one-
year and compound interest being
calculated
at 15% p.a. How much did
he repay each year?
14.
In the figure, ABFE, BCGF and CDHG are three cons
gruent squares, Prove (.). FG
∙AP
FH
(b) p+q
15.
G
that
In the figure, ABCD is // gram AB-3cm, BC=4cm and 4 ABC=150° (b)the time taken for the Calculate:
velocity of ♪ to reach (*)Area of ABCH
(b)legth
(c)the minimum velocity (*). Z BAC.
(c)angle between the face
VBC and the base
ABGUEPS
50 m
of P.
10.
ABCD is a parallelogram,
A man borrowed $40000 to
15.
AC
4cm
Jom
7
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