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Physics
WAEC / WASSCE 2009
Mechanics and Properties of Matter
Solution
A machine of efficiency 80% is used to lift a box. If the effort applied by the machine is twice the weight of the box. Calculate the velocity ratio of the machine
A
0.50
B
0.63
C
0.80
D
1.60
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Y = \(\frac{M.A}{V.R} \times \frac{100}{1}\)
= \(\frac{\frac{1}{2}}{V.R} \times \frac{100}{1}\)
V.R = 0.625
Source: Myschool Past Questions Archive (Record #35169)
Physics
WAEC / WASSCE 2009
Mechanics and Properties of Matter
as a bicycle Tyre was being pumped up, it was noticed that contrary to Boyle's law the volume increased as the pressure increased. The best explanation of this is that Boyle's law is only true for
A
ideal gases
B
a fixed mass of gas
C
a mixture of gases
D
a gas at variable temperature
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #35179)
Physics
WAEC / WASSCE 2009
Mechanics and Properties of Matter
Solution
A thin lens is placed 50cm from an illustrated object. The image produced has linear magnification of \(\frac{1}{4}\). Calculate the power of the lens in dioptres
A
2.5D
B
5.0D
C
10.0D
D
25.0D
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\frac{1}{v} = \frac{1}{u}\)
m = \(\frac{v}{u} = \frac{1}{4} = \frac{v}{50}\)
v = 12.5
But \(\frac{1}{v} + \frac{i}{u} = \frac{1}{f}\)
= \(\frac{1}{50} + \frac{1}{12.5} = f\)
f = 10m
P = \(\frac{100}{10} = 10D\)
Source: Myschool Past Questions Archive (Record #35196)
Physics
WAEC / WASSCE 2009
Mechanics and Properties of Matter
A satellite in circular motion around the earth does not have
A
a gravitational force acting on it
B
a uniform velocity
C
an acceleration
D
a centripetal force acting on it
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #35200)
Physics
WAEC / WASSCE 2009
Mechanics and Properties of Matter
Solution
The main difference between x-rays and \(\gamma-rays\) lies in their
A
ionizing ability
B
absorption rate
C
mode of production
D
mode of propagation
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
X-rays and γ-rays are both electromagnetic radiations with similar properties (they propagate the same way, have high ionizing ability, and similar absorption behavior).
The "main difference" is how they are produced:
- X-rays → produced by interactions involving electrons outside the nucleus (e.g., in an X-ray tube when fast electrons hit a metal target).
- γ-rays → produced by processes inside the nucleus (e.g., during radioactive decay when an unstable nucleus releases excess energy)
Source: Myschool Past Questions Archive (Record #35219)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Which of the following statements about the pressure in a liquid is NOT correct? It
A
acts in all direction
B
changes with the material of the container
C
is the same at all points in the same horizontal plane
D
varies with the density of the liquid
E
varies with the depth of the liquid
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #43046)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Solution
A ball of mass 100g falls from a height of 5m onto a concrete floor and rebounds to a height of 3m. Calculate the energy lost. (g = 10ms-2)
A
2J
B
20J
C
100J
D
1000J
E
2000J
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
To calculate the energy lost when a ball falls from a height of \(5 \, \text{m}\) and rebounds to a height of \(3 \, \text{m}\):
Given: Mass of the ball, \( m = 100 \, \text{g} = 0.1 \, \text{kg} \), Initial height, \( h_1 = 5 \, \text{m} \),
Rebound height, \( h_2 = 3 \, \text{m} \), Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \)
Calculating the potential energy at height \( h_1 \):
\(\text{PE}_1 = mgh_1 = 0.1 \, \text{kg} \cdot 10 \, \text{m/s}^2 \cdot 5 \, \text{m} = 5 \, \text{J}\)
Calculating the potential energy at height \( h_2 \):
\(\text{PE}_2 = mgh_2 = 0.1 \, \text{kg} \cdot 10 \, \text{m/s}^2 \cdot 3 \, \text{m} = 3 \, \text{J}\)
The energy lost is:
\(\text{Energy lost} = \text{PE}_1 - \text{PE}_2 = 5 \, \text{J} - 3 \, \text{J} = 2 \, \text{J}\)
Thus, the energy lost is: \({2 \, \text{J}}\)
Source: Myschool Past Questions Archive (Record #43048)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Two forces of magnitude 8N and 4N act at right angle to each other. The angle between the resultant and the 8N force is
A
23.9°
B
26.6°
C
29.5°
D
60.0°
E
63.4°
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #43049)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Solution
A ball of mass 0.1kg moving with a velocity of 20ms-1 is hit by a force which acts on it for 0.02s. If the ball moves off in the opposite direction with a velocity of 25ms-1 , calculate the magnitude of the force.
A
25N
B
125N
C
225N
E
100N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Impulse = \(\Delta\) momentum
F x t = m(V\(_2\) - V\(_2\))
F = \(\frac{M(V_1 - V_2)}{t}\) = \(\frac{0.1(-25 - 20)}{0.02}\) = \(\frac{- 4.5}{0.02}\) = - 225N
Therefore, the force = 225N
Source: Myschool Past Questions Archive (Record #43059)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
An object of mass 2kg moves for 5s with a uniform velocity of 10ms. What is the magnitude of its acceleration in ms-2
?
A
zero
B
2.5
C
10
D
12.5
E
100
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #43060)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Solution
The work done in extending a spring by 40 mm is 1.52J. Calculate the elastic constant of the spring.
A
38.8 Nm-1
B
60.8 Nm-1
C
190.0 Nm-1
D
1900.0 Nm-1
E
3800.0 Nm-1
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Force = Elastic constant x extension
Work done = \(\frac{1}{2} K \times e^2\)
Given Work done = 1.52J; Elastic constant (k) = ?; e = 40mm = 0.04 m
\(\therefore 1.52 = \frac{k \times (0.04)^2}{2}\)
\(3.04 = k \times 1.6 \times 10^{-3}\)
\(k = \frac{3.04}{1.6} \times 10^3\)
= 1.9 x 10\(^3\)
= 1900 Nm\(^{-1}\)
Source: Myschool Past Questions Archive (Record #43064)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Solution
Which of the following statements about water is NOT correct?
A
Pure water freezes at 0°C under normal pressure
B
The volume of a given mass of water at 0° is less than its volume at 4°C
C
Water boils at a definite temperature
D
Water evaporates at all temperatures
E
Water has its maximum density at 4°C
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Water has its least volume and highest density at 4^\circC
Source: Myschool Past Questions Archive (Record #43072)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Calculate the heat energy lost when 10g of boiling water changes to ice at 0°C. [Specific latent heat of ice 336Jg-1 . Specific heat capacity of water 4.2Jg-1 K-1]
A
840J
B
3360J
C
3420J
D
4200J
E
7560J
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #43081)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Calculate the work done in charging a capacitor of capacitance 20µF through a potential difference of 1000V.
A
0.02 J
B
0.10 J
C
0.20 J
D
1.00 J
E
10.00 J
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #43084)
Physics
NECO SSCE 2009
Mechanics and Properties of Matter
Two forces A and B act at a point. If their resultant is [given by] (B - A) in the direction of B, then
A
A and B are equal
B
A is greater than B
C
the angle between A and B is 0°
D
the angle between A and B is 90°
E
the angle between A and B is 180°
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #43086)