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Physics
WAEC / WASSCE 2007
Current Electricity & Electric Circuits
Solution
A liquid of volume 2.00 m3 and density 1.00 x 103 is mixed with 3.00 m3 of another liquid of density 8.00 x 103kg m-3. Calculate the density of the mixture [Assuming there is no chemical reaction]
A
5.20 x 102 kg m-2
B
1.13 x 103 kg m-3
C
8.80 x 102 kg m-3
D
5.20 x 103 kg m-3
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
\(V_T = 5m^3, m_1 = 2 \times 1 \times 10^3 = 2 \times 10^3\)
\(M_2 = 3 \times 8 \times 10^3 = 24 \times 10^3\)
MT = 26 x 103
D = \(\frac{m}{v} = \frac{26 \times 10^3}{5} = 5.2 \times 10^3\)
Source: Myschool Past Questions Archive (Record #34805)
Physics
WAEC / WASSCE 2007
Current Electricity & Electric Circuits
Which of the following statements about solid friction are correct? It i. is a force ii. occurs between the surfaces of two bodies in contact iii. depends on the area in contact
A
i and ii only
B
i adnd iii only
C
ii and iii only
D
i, ii and iii
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 #34813)
Physics
WAEC / WASSCE 2007
Equilibrium of Forces, Moments & Flotation
Solution
A mass of mass m, experiences a viscous drag, F and an upthrust, U as he descends towards the ground at a steady velocity, Using a parachute. If the acceleration of free fall is g, which of the following expressions is correct?
A
FU = mg
B
U + F - mg = 0
C
U - F = mg
D
F - U - mg = 0
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The forces acting on the mass include:
Weight: W = mg (downward)
Upthrust: U (upward)
Viscous Drag: F (upward)
Since the mass is descending at a steady velocity, the net force acting on it is zero. This means that the upward forces (upthrust and viscous drag) balance the downward force (weight): mg = U + F = U + F - mg = 0
Source: Myschool Past Questions Archive (Record #34825)
Physics
WAEC / WASSCE 2007
Scalars, Vectors & Relative Motion
Solution
a body moving at a constant speed accelerates when it is in
A
rectilinear motion
B
translational motion
C
circular motion
D
vibrational motion
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
A body moving at a constant speed can accelerate if it is in circular motion. This is because acceleration is a change in velocity, and velocity is a vector quantity, meaning it has both magnitude (speed) and direction. In circular motion, the direction of the velocity is constantly changing, even if the speed is constant, so there is acceleration.
Source: Myschool Past Questions Archive (Record #34826)
Physics
WAEC / WASSCE 2007
Current Electricity & Electric Circuits
Solution
An object of mass 2 kg moves with a uniform speed of 10ms-1 for 5s along a straight path. Determine the magnitude of its acceleration
A
0 ms-2
B
1 ms-2
C
3 ms-2
D
4 ms-2
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
a = \(\frac{v - u}{t} = \frac{10 - 10}{5} = 0\)m/s
Source: Myschool Past Questions Archive (Record #34830)
Physics
WAEC / WASSCE 2007
Current Electricity & Electric Circuits
Solution
The term rectilinear acceleration means the rate of increase of
A
velocity along a circular path in a unit time
B
distance along a rectangular path in a unit time
C
displacement along a straight-line path in a unit time
D
velocity along a straight-line path in a unit time
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Rectilinear acceleration refers to the acceleration experienced by an object moving in a straight line (rectilinear motion). Acceleration is defined as the rate of change of velocity with respect to time, which aligns with the rate of increase of velocity along a straight-line path.
Source: Myschool Past Questions Archive (Record #34837)
Physics
WAEC / WASSCE 2007
Current Electricity & Electric Circuits
A body moving with an initial velocity U accelerates until it attains a velocity of V within a time t. The distance, s covered by the body is given by the expressions
A
s = (\(\frac{v - u}{2}\))t
B
s = (\(\frac{v + 2u}{2}\))t
C
s = (\(\frac{v + u}{2}\))t
D
s = (\(\frac{2v + u}{2}\))t
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #34844)
Physics
WAEC / WASSCE 2007
Current Electricity & Electric Circuits
Solution
A body accelerates uniformly from rest at 2ms-2. Calculate the magnitude of its velocity after travelling 9m
A
4.5 ms-1
B
6.0ms-1
C
18.0-1
D
36.0-1
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
v = \(\sqrt{U^2} + 2as = \sqrt{0^2} + 2 \times 2 \times 9 = 6\)m/s
Source: Myschool Past Questions Archive (Record #34845)
Physics
WAEC / WASSCE 2007
Work, Energy, Power & Simple Machines
A swinging pendulum between the rest position and its maximum displacement possesses
A
Kinetic energy only
B
potential energy only
C
gravitational energy only
D
both kinetic and potential energy
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #34846)
Physics
WAEC / WASSCE 2007
Elasticity, Density, Pressure & Fluids
Which of the following observations is not an effect of surface tension?
A
droplets of water dripping slowly from a tap
B
mercury spilled on a clean glass plate forms spherical droplets
C
an indect walking across the surface of a pond
D
water flowing out more easily then engine oil from a container
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #34742)
Physics
WAEC / WASSCE 2007
Elasticity, Density, Pressure & Fluids
Solution
A block of mass 4.0kg causes a spiral spring to extend by 0.16m from its unstretched position. The block is removed and another body of mass 0.50kg is hung from the same spiral spring. If the spring is then stretched and released, what is the angular frequency of the subsequent motion? [g = 10 ms -2]
A
10\(\sqrt 5\) rads-1
B
5\(\sqrt 2\) rads-1
C
5 rads-1
D
\(\sqrt 5\) rads-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
K = \(\frac{F}{e} = \frac{4}{0.16} = 250\)
F = \(\frac{1}{T} = \frac{1}{2 \pi \frac{\sqrt{m}}{k}}\)
= \(\frac{1}{2 pi \frac{\sqrt{0.5}}{250}}\)
= 10\(\sqrt{5}\)
Source: Myschool Past Questions Archive (Record #34849)
Physics
WAEC / WASSCE 2007
Linear Motion, Projectiles & Kinematics
Solution
An external force of magnitude 100N acts on a particle of mass 0.15kg for 0.03s. Calculate the change in the speed of the particle
A
50ms-1
B
25ms-1
C
20ms-1
D
5ms-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
a = \(\frac{F}{m} = \frac{100}{0.15} = 666.7\)
v = u + at
= 0 + 66.7 x 0.03
= 20m/s2
Source: Myschool Past Questions Archive (Record #34859)
Physics
WAEC / WASSCE 2007
Linear Motion, Projectiles & Kinematics
Solution
A car of mass 800kg moves from rest on a horizontal track and travels 60m in 20s with uniform acceleration. Assuming there were no frictional forces, calculate the accelerating force
A
240.0N
B
800.0N
C
1600.00N
D
2400.0N
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
S = at + \(\frac{1}{2} at^2\)
60 = 0 x 20 + \(\frac{1}{2}\) x a x 20\(^2\)
a = \(\frac{60}{200}\)
a = \(\frac{3}{10}\)m/s\(^2\)
F = ma = 800 x \(\frac{3}{10} = 240N\)
Source: Myschool Past Questions Archive (Record #34861)
Physics
WAEC / WASSCE 2007
Work, Energy, Power & Simple Machines
Solution
A plane inclined at 30o to the horizontal has an efficiency of 50%. Calculate the force parallel to the plane required to push a load of 120N uniformly upn the plane
A
50.0N
B
120.0N
C
200.0N
D
240N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
V.R = \(\frac{1}{sin\theta} = \frac{1}{sin 30} = 2\)
M.A = \(\frac{E \times V.R}{100} = \frac{50 \times 2}{100} = 1\)
Effort = \(\frac{load}{M.A} = \frac{120}{1} = 120N\)
Source: Myschool Past Questions Archive (Record #34864)
Physics
WAEC / WASSCE 2007
Current Electricity & Electric Circuits
Mechanical energy can be either
A
kinetic or electric
B
chemical or potential
C
potential or kinetic
D
electric or heat
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #34866)