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Physics
UTME / JAMB 1986
Mechanics and Properties of Matter
Diagram
fig 1 is a graph of force against extension for a spiral spring, the force constant of the spring is given by the
Attached Figure / Diagram
A
slope of the linear prtion of the graph
B
length of the linear portion of the graph
C
area under the linear portion of the graph
D
area under the entire graph
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 #41658)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
Which of the following statements are true about the spring balance and the chemical balance? i. both are used to measure the mass of an object. ii. either of them may be used to measure the weight of an object. iii. the spring balance works on the principle of Hooke's law while the chemical balance works on the principle of moments. iv. a change in gravity does the readings of a spring balance but not that of a chemical balance.
A
i, and iv
B
ii and iii
C
ii and iv
D
i, ii and iii
E
i and iii
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
- the spring balance works on the principle of Hooke's law while the chemical balance works on the principle of moments.
- The mass of a body is measured using beam or chemical
- Chemical balance is a delicate instrument which is used to weigh small amounts of substances
- The weight of a body can be measured using a spring balance
Source: Myschool Past Questions Archive (Record #28554)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
If a car starts from rest and moves with a uniform acceleration of 10ms-2 for ten seconds, the distance it covers in the last one second of its motion is
A
95m
B
100m
C
500m
D
905m
E
1000m
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Distance in 105, using, x = ut + \(\frac{1}{2}\)at2
x = (0 x 10) + (\(\frac{1}{2}\) x 10 x 10 x 10) = 500m
distance in 9s; x - (0 x 9) + (\(\frac{1}{2}\) x 10 x 9 x 9) = 405m
distance in last is = difference
= 500 - 405
= 95m
Source: Myschool Past Questions Archive (Record #28557)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
A block of mass 2.04kg resting on a smooth horizontal plane is acted upon simultaneously by two-forces, 10N due North and 10N due East. The magnitude of the acceleration produced by the force on the block is
A
0.10ms-2
B
7.07ms-2
C
10.00ms-2
D
14.10ms-2
E
20.00ms-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
R = \(\sqrt {10^2 + 10^2}\)
R = 14.14N
R = F = ma
14.14 = 2 x a
a = 7.07ms-1
Source: Myschool Past Questions Archive (Record #28560)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
A metal block of mass 5kg lies on a rough horizontal platform. If a horizontal force of 8N applied to the block through its center of mass just slides the block on the platform, then the coefficient of limiting friction between the block and platform is
A
0.16
B
0.63
C
0.80
D
1.60
E
2.00
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
F = \(\mu\)R
= \(\mu\)mg
8 = \(\mu\) x 5 x 10
\(\mu\) = 0.16
Source: Myschool Past Questions Archive (Record #28561)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
Which of the following is NOT a force?
A
Friction
B
Tension
C
Upthrust
D
Weight
E
Impulse
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Impulse is not a force; it is a measure of the change in momentum produced by a force acting over a period of time.
Source: Myschool Past Questions Archive (Record #28562)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Two masses 40g and 60g respectively, are attached firmly to the ends of the light meter rule. The center of gravity of the system is
A
at the mid-point of the meter rule
B
40cm from the lighter mass
C
40cm from the heavier mass
D
60cm from the heavier mass
E
indeterninate because the meter-rule is light
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 #28563)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
A 0.05kg bullet travelling at 500ms-1 horizontally strikes a thick vertical wall. It stops after penetrating through the wall horizontal distance of 0.25m. What is the magnitude of the average force the wall exerts on the bullet?
A
25N
B
50N
C
250N
D
500N
E
25 000N
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
F = ma
= m\(\frac{(v^2 - u^2)}{2s}\)
F = 0.05\(\frac{(0 - (500)^2)}{2 \times 0.25}\)
F = 25 000N
Source: Myschool Past Questions Archive (Record #28565)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
In a gas experiment, the pressure of the gas is plotted against the reciprocal of the volume of the gas at a constant temperature. the unit of the slope of the resulting curve is
A
force
B
force/m
C
work
D
force/m3
E
energy/m3
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
slope = pressure \(\div\) \(\frac{1}{volume}\)
= \(\frac{N}{m^3}\) x \(\frac{m^3}{1}\)
= Nm = work
Source: Myschool Past Questions Archive (Record #28599)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
Which of the following statements are NOT correct?
A
boiling occurs when the saturated vapour pressure of the liquid involved equals the external pressure
B
both the boiling point and the saturated vapour pressure of a given liquid depends on the external pressure
C
the saturated vapour presssure rises with increase in temperature
D
the saturated vapour pressure is independent of the volume available for the vapour
E
it is possible to boil water at a lower temperature than 100oC at high altitude
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
While external pressure can affect the liquid's boiling point (i.e., boiling occurs when the saturated vapor pressure equals the external pressure), the saturated vapor pressure itself is determined solely by the liquid's temperature.
Source: Myschool Past Questions Archive (Record #28615)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
In order to find the depth of the sea, a ship sends out a sound wave and receives an echo after one second. If the velocity of sound in water is 1500ms-1, what is the depth of the sea?
A
0.75km
B
1.50km
C
2.20km
D
3.00km
E
3.75km
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Echo time = 1 \(\div\) 2 = 0.5sec
depth = velocity x time
= 1500 x 0.5
= 750m = 0.75km
Source: Myschool Past Questions Archive (Record #28619)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
If the distance between two stationary charged particle is doubled, the magnitude of the electro-static force between them will be
A
doubled
B
halved
C
a quarter of its former value
D
unchanged
E
four times the original value
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
F \(\alpha\) \(\frac{1}{d^2}\)
F x d2 = constant
F1 x (d1)2 = F2 x (d2)2
d2 = 2d1
F1 x (d1)2 = F2 x (2d1)2
F2 = \(\frac{1}{4}\)F1
Source: Myschool Past Questions Archive (Record #28639)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
An electric kettle, connected to a 240V mains, produces 6.0 x 105J of heat energy to boil a quantity of water in 5 minutes. Find the resistance of the kettle.
A
14.4\(\Omega\)
B
28.8\(\Omega\)
C
144\(\Omega\)
D
288\(\Omega\)
E
2880\(\Omega\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Heat energy = Electrical energy
6 x 105 = \(\frac{V^2}{R}\)t
R = \(\frac{240 \times 240 \times 5 \times 60}{6 \times 105}\)
= 28.8\(\Omega\)
Source: Myschool Past Questions Archive (Record #28649)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
On which of the following does the operation of a moving coil ammeter depend? i. Electromagnetic induction ii. Force on a carrying-current conductor iii. Magnetic effect of an electric current
A
i only
B
ii only
C
iii only
D
ii and iii only
E
i,ii and iii
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
A moving coil ammeter operates based on the torque produced when current flows through a coil in a magnetic field, which stems from the force on a current-carrying conductor and the magnetic field generated by the electric current itself.
Source: Myschool Past Questions Archive (Record #28650)
Physics
UTME / JAMB 1985
Mechanics and Properties of Matter
Solution
A force of 100N stretches an elastic string to a total length of 20cm. If an additional force of 100N stretches the string 5cm further, Find the natural length of the string
A
15cm
B
12cm
C
10cm
D
8cm
E
5cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Using, f1 = f2
e1 = 20 - L ; e2 = 5cm
\(\frac{f_1}{e_1}\) = \(\frac{f_2}{e_2}\)
\(\frac{100}{20 - L}\) = \(\frac{100}{5}\)
hence, L = 15cm
Source: Myschool Past Questions Archive (Record #28567)