二期星
5. In figure 6, a uniform rod of
mass 1.2kg, length 6m and specific gravity 0.5 is hinged at one end 3m below the water surface. A weight w is attached to the other end of the rod so that 5m of the rod are submerged.
真四第張八第 日九十月八年未己
1980
中學會考試題預習專欄
物理
(-)
WAH KIU YAT PO
reads 100N, what is the ture weight of the block? (b) What sort of motion will
the elevator perform if the balance reads 64N, (a) What will the balance read
if the elevator moves
報日僑華
明德出版社魯榮家提供資料
PHYSICS (1)
Mechanics
Exercise One
(where necessary, take the acceleration due to gravity g = 10ms~2)
1.(a) in figure 1, a wheel of
mass 100kg and 10m in diameter rests on a horizontal sufrace.
Figure 1
(i) What horizontal force applied at the axle
would be necessary to enable it to surmount a step of height 4 meters ?
(ii) What is the direction 2 and magnitude of the minimum force exerted to the wheel so that the wheel will be pulled up the step?
(b) In figure 2, two blocks of
A
masses 10kg and 5kg are placed in contact on a frictionless table. horizontal force F is applied to one of the blocks.
10kg
Sky
Figure 2
Find the force between the
blocks if
(i) F = 15N, is applied to
the 10kg block.
(ii) F = 15N, is applied to
the 5kg - block.
2. In figure 3, a block hangs from a spring balance supported from the ceiling. of an elevator
upwards with uniform speed.
(d) What will the balance read
if the elevator moves downwards with uniform speed?
(e) What will the balance read
if the elevator cable breaks?
3. In figure 4, a uniform ladder
of mass 160kg and length
10m is placed with its upper end against a smooth vertical wall. If the lower end of the ladder is 6m from the foot of the wall,
Figure 4
(i) 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.
(iii) find the magnitude
direction of frictional force between the lower end of the ladder and the horizontal floor.
(iv) find the coefficient of
sliding friction between the ladder and the horizontal floor,
(v) find the resultant force acting on the lower end
of the ladder.
4. In figure 5, a bullet of mass
0.01kg is shot horizontally through the centre of a 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 distance of 0.2m, calculate (a)(i) the velocity of block A
after the bullet
emerges.
(ii)the velocity of the
bullet as it emerges from block A.
(b) If the centre of gravity of block B is observed to
rise h meters, find h.
Water
Figure 6
(i) Where is the point of
application of the buoyant force exerted on the rod? (ii) Find the magnitude of the
bouyant force mentioned in (i).
(iii) Find the weight w.
1980
中學會考試題預習專欄
數學
(-) 明德出版社文長波提供資料
Mathematics (1)
This cource provides the candidates of KCEE 1980 a general revision in laths. (Alternate Syllabus P).
A knowledge of mathematics up to HKCEE is assumed, and the subject is developed by a concentric treatment in which each exercise is used to illustrate ideas already treated. Exercise 1.
Attempt ALL questions in Section A and any SIX qestions in Section B.
Section A
1. Form a quadratic equation whose roots are the square
2 of the roots of x2-x-5×0, Express your equation in the
2
form axTM+bx+c=0 where a, and e are integers. g. Find the value of x if
510gx-1=41og2-1ag5, the base of logaritiim being 10。 3. Solve the equation:
2sin(20–100)=1, where 0" @ 360°.
日九月十年九七九一居公年八十六國民華中 育教傑审
6. By selling an article for
8180 a aiopkeeper makes a profit of 44% on the cast price. At what price must it be sold in order to make a profit of 40€7 7. In the figure,
AL BE CF L DB EC PA 3 of the area of the triangles DEP and ABC. (Geometry theorem need not be quoted when nged)
B
Find the ratio
8. Calculate by how much the on 12500 compound interest at 4% p.a. for 3 years
exceeds the simple interest
on $2500 at 4% pau. for three years.
Section B
9. à hill slopes up at an angle of 28" with the
horizontal. A man without load on his back can climb at an angle of 14° with the horizontal and the other man with load on his back can climb at an angle of 50 with the horizontal. What is the angle between their tracks on the ai]]?
10, In the figure, ABCD is a parallelogram, AB=3cm, MC=hem and LABC=150o. Calculate
(a) area of // gram ABCD, (b) length of AC, (Y/BAC
3cm
vessel when closed, and (c) its total surface area。
(talie x =
£2
15. If a> by 0, show that
Bugane>(Inga+1ngh).
16. A farmer bought a certain
antuber of anjmnls for $1200. Five of them died but he sold the rest at $6 a head more
than he paid for them and ke make a profit of 5% on his total outlag, Calculate the number of animals he bought.
學能推理練習專欄 智慧社提供資料
數字推理(一)
數字推理練習一
圖形的輪機
猷把下列每题缺去的圖形逃出來,重在它的 下面畫一橫線。
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OA ? C
11. ABC is a parallelogram.
The bisector of Labe meets
AC at Y. If BX is a line' parallel to YD meeting AC at x, prove that
R☆ SA TO
8.
品
P
9. + X - 口水
? X - *
P+ Qx R-- S冂
(a) AABX ASDY,
(h) BXDY is a parallelogram,
(e) 4.19y
AD
DC
ABCY
23
12. (a) Solve the equations
3-342b=0
-13-0 (b) If x-1 is a factor of
xmx"+px+15, find the
value of p. With this value of p, find the other factors of the expression -
4. If taná÷- - and 270<<360; 13. In the figure, PR is the
find the value of Isina-icosá
5sina+3cosA
diameter of the circle and KRM is the tangent, Prove that
10. OOO 0.000
PO
11. A
RO
?
AO
BO
DA
12. O
B
C
Do
E
13. 卍 ® CA
A
? 000 A
BO
@ DO ΕΔ
14. ★☆☐☐
? ★ 0
AO B⭑
CD
你 E
M
14. A conical vessel has a
15.
?
B
honi spherical id. The total height when closed is 30cm and the maximum girth is ham. Find
A A B
谷 C
CO DO
EO
⭑E
3日
OB
15. In the figure, 0 is the
centre of the circle, AB is a diameter. LAW4-28” and 4Q// or, Calculate (AQP. (Geometry theorem need not be quoted when used.)
n
{a} Pq•PN=PR",
(b) APS and APN are
similar,
(e) QSMN is cyelic.
Figure 3
(a) If the elevator has an
upward acceleration of 2.5ms 6 and the balance
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(a) the radius of the
henisphere,
(3) the volume of the conical
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