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Q:1) Which of the following is a vector quantity? Paragraph: Sol: A:) kinetic energy B:) force C:) power D:) work Q:2) Which of the following is a derived units for force? Paragraph: Sol: A:) 1
kgm
B:) kgms ^1
C:) kgms
2 D:) 2
kgms
Q:3) A force, F, acts in the x direction with a magnitude given by F ax^2 where x is in metres and
a 5 Nm ^2. Find the work done by this force as it acts on a particle which moves from
x 0 to
x 6. 0 m
Paragraph: Sol: A:) 180 J B:) 360 J C:) 30 J D:) 210 J
Q:4) A force, F, acts in the x direction with a magnitude given by
2
F ax where x is in metres and
a 5 Nm ^2. If the particle has a mass of 1 kg and was moving with a velocity of 20 ms ^1 when it passed
x 0 , what is its velocity at x 6. 0 m
Paragraph: Sol:
A:) 13.
1
ms
B:) 23.4 ms ^1
C:) 33.4 ms ^1
D:) 43.
1 ms
Q:5) A hailstone with a mass of 10g falls a distance of 100 m to the ground which it hits with a
velocity of 30 m/ s. How much work has been done by air resistance? (Take g to be 9.8 ms ^2 )
Paragraph: Sol: A:) 1.6 J B:) 5.3 L C:) 8.3 J D:) 3.6 J
Q:6) A box moves 3 m horizontally when force F = 20 N is applied at angle
135. What is
the work done on the box by F during the displacement?
Paragraph: Sol: A:) 70.7 J B:) – 70.7 J
C:) 32 .0N
D:) 124 .2N
Q:10) A uniform meter rule of mass 20 kg is pivoted at the 40 cm mark, and a weight of 15N is
hung at the 30 cm mark. What is the reaction at the pivot? (Take g to be 9.8 ms-^2 )
Paragraph: Sol:
A:) 211N
B:) 87N
C:) 37N
D:) 320.2N
Q:11) A force of 200N pulls a block of mass 50kg and overcomes a constant frictional force of 50N. What is the acceleration of the block? Paragraph: Sol:
A:) 2.8 ms ^2
B:) 3.0 ms ^2 C:) 3.3 ms ^2 D:) 4.0 ms ^2 Q:12) A car of mass 1000kg is accelerating at 3m/s2. If the resistance to the motion is 1000N, What is the force due to the engine? Paragraph: Sol: A:) 1000N
B:) 2000N
C:) 4000N
D:) 3000N
Q:13) When a force acts on an object, it produces acceleration which may be given as a=F/m where F is force on the object and m is the mass of the object. This is otherwise known as Paragraph: Sol: A:) First law of motion B:) Newton’s second law C:) Third law D:) All of the option Q:14) A ball is thrown vertically upwards. The quantity which remains the same is Paragraph: Sol: A:) displacement B:) speed C:) kinetic energy D:) acceleration Q:15) A particle in simple harmonic motion has a period of 0.4s. If the maximum speed attained during the motion is 0.3m/s, what is the amplitude of the motion? Paragraph: Sol: A:) 0.018m B:) 0.19m C:) 0.3m
D:) the length of the pendulum and the acceleration of gravity Q:19) Water has a higher specific heat capacity than iron. This means that Paragraph: Sol: A:) water is more dense than iron. B:) water is hotter than iron. C:) water heats more rapidly than iron. D:) water heats more slowly than iron. Q:20) In general, when a liquid is heated Paragraph: Sol: A:) it will neither expand nor contract. B:) it will expand at a greater rate than a solid. C:) it will expand at a lesser rate than a solid. D:) it will contract at a greater rate than a solid.
Q: 2 1) A boy of mass 50 kg running at 2 m/s, accelerates uniformly at 0.5 ms ^2 for a minute.
What is his work done within the interval?
Paragraph: Sol:
A:) 10,300 J
B:) 19,100 J
C:) 25 ,600 J
D:) 31 ,400 J
Q: 2 2) What are the dimensions of energy and force?
Paragraph: Sol:
A:) ML ^3 T , MLT^2
B:) MLT , MLT
1
C:) ML^2 T ^2 , MLT ^2
D:) ML^2^ T ^2 , ML^2 T^2
Q: 2 3) Which of the following are the correct dimensions of density and pressure?
Paragraph: Sol:
A:) ML ^3 , ML ^1 T ^2
B:)
2 1 2
ML ML T
C:) ML ^2 T ^2 , ML ^3
D:) ML^3^ , ML ^1 T^2
Q: 2 4) Which of the following is equivalent to kg m-^1 s -^2?
Paragraph: Sol: A:) Ns ^1
B:) Pa
C:) J
D:) Js ^1
Paragraph: Sol: A:) momentum, velocity, force B:) acceleration, momentum, force C:) momentum, kinetic energy, force D:) momentum, velocity, displacement Q: 2 9) Dimensionally energy can be written as: Paragraph: Sol:
A:) ML^2 T ^2
B:)
2
MLT
C:)
2 3
ML T
D:)
2 1
ML T
Q:30) The _______________ of the particle is defined as the change in velocity divided by the
time interval during which that change occurs
Paragraph: Sol:
A:) Speed
B:) Average acceleration
C:) Displacement
D:) Average speed
Q: 3 1) Given hat the period of oscillation of a pendulum is given by T kmx^ lygz where k is a constant.
Which of the following is correct? Paragraph:
Sol: A:)
l
m
T K
B:) T Km^3 gl
C:)
g
l
T K
D:) T K m^2 gl Q: 3 2) Which of the following is not a fundamental unit of measurement in mechanics? Paragraph: Sol: A:) second B:) metre C:) volt D:) kilogram
Q:3 3 ) The position of a boy is given by X 4 5 t 3 t^2 m, the instantaneous velocity at t=3s is given
as? Paragraph: Sol: A:) 11m/s B:) 18m/s C:) 16m/s D:) 13m/s Q: 3 4) The position of a boy is given by 2
X 4 5 t 3 t m, the instantaneous acceleration at t=3s is
given as? Paragraph:
B:) 7 m/s C:) 8 m/s D:) 9 m/s
Q: 3 8) The position of a boy is given by X 4 5 t 3 t^2 m, what is his average acceleration between
t = 1 s and t = 3 s?
Paragraph:
Sol:
A:) 6 ms ^2
B:) 7 ms ^2
C:) 8 ms ^2
D:) 9
ms ^2
Q: 3 9) The displacement of a car as a function of time t is given as ( 3 2 1 )
2
S t t m. find its
velocity at time t = 4 s
Paragraph: Sol:
A:) 12m/s
B:) 10 m/s
C:) 2 2m/s
D:) 0.33m/s
Q:40) The displacement of a car as a function of time t is given as ( 4 2 1 )
2
S t t m. find its
acceleration at time t = 2 s
Paragraph: Sol:
A:) 6 ms ^2
B:) 7 ms ^2
C:) 8 ms ^2
D:) 9 ms ^2
Q: 4 1) Which of the following is an equation in Kinematics?
Paragraph: Sol:
A:) v = u + at
B:) F = ma
C:) w=F x d
D:) P.E. = mgh
Q: 4 2) A force of 5N makes an angle of 30° with the horizontal. What is the value of vertical
component of the force?
Paragraph: Sol:
A:) 5.0 N
B:) 7.5 N
C:) 2.5 N
D:) 4.3 N
Q: 4 3) Which of these is not correct about work?
Paragraph: Sol:
A:) work is a scalar quantity
B:) work done by the system is negative
C:) work done on the system is negative
D:) none of the options
Q: 4 4) Which of these is the correct definition for torque acting on a body?
C:) it is a product of work and velocity
D:) none of the options
Q: 4 8) A uniform beam of mass 2 kg and length 80 cm is pivoted at position 30 cm. At what
position must a body of mass 1 kg be hung on it in order to achieve static equilibrium?
Paragraph: Sol:
A:) 20 cm to the left of the pivot
B:) 40 cm to the left of the pivot
C:) 15 cm to the right of the pivot
D:) 30cm to the right of the pivot
Q: 4 9) A uniform meter rule is pivoted at point 50 cm. If a load of mass 10 kg is placed at point 15
cm on the meter rule, what load will balance it at 70 cm mark on the meter rule?
Paragraph: Sol:
A:) 7.5 cm
B:) 1 7.5 cm
C:) 15 .5 cm
D:) 35.5 cm
Q:50) The centripetal acceleration in a circular motion is given by
Paragraph: Sol:
A:) a r ^2
B:)
2
r
v
a
C:) A and B
D:) none of the options
Q:51) Which of the following is not an instrument for measuring mass? Paragraph: Sol: A:) Chemical balance B:) spring balance C:) ballistic balance D:) Vernier balance Q:52) Which of the following is the instrument used for measuring inertial mass? Paragraph: Sol: A:) Chemical balance B:) spring balance C:) ballistic balance D:) Vernier balance Q:53) Which of the following is not an example of fundamental quantities? Paragraph: Sol: A:) Force B:) Temperature C:) Mass D:) Time Q:54) Which of the following is not an example of fundamental quantities? Paragraph: Sol: A:) electric current
Q:58) A Lagos commercial bus is driving at a speed of 219 ft. per minute. Express this speed in meter per second. Paragraph: Sol: A:) 2. 35 ms ^1 B:) 2. 31 ms ^1 C:) 1. 75 ms ^1 D:) 1. 11 ms ^1 Q:59) A Lagos commercial bus is driving at a speed of 219 ft. per minute. Express this speed in km per hour. Paragraph: Sol: A:) 4. 01 kmh ^1 B:) 8. 10 kmh ^1 C:) 4. 10 kmh ^1 D:) 8. 01 kmh ^1 Q:60) A Lagos commercial bus is driving at a speed of 219 ft. per minute. What is this speed in light-year per year? Paragraph: Sol:
A:) 2. 71 10 ^9 ly / y
B:) 3. 71 10 ly / y
9
C:) 4. 71 10 ^9 ly / y
D:) 5. 71 10 ^9 ly / y
Q:61) The distance from the north pole to the equator is 10 million meters. If 5 miles=8 km and 1mile= 5280 ft, what is the distance from the south pole to the equator in feet? Paragraph: Sol:
A:) 5. 03 107 ft
B:) 1. 01 107 ft
C:) 8. 20 107 ft
D:) 3. 30 107 ft
Q:62) A body is released from rest and allowed to fall freely from a given height under gravity. The kinetic energy at its halfway point is………. Paragraph: Sol: A:) a little above half of its initial energy B:) a little below half of its initial energy C:) a half of its initial energy D:) a little above its initial energy
Q:63) If Z A ^3 and the percentage error in A is 4%, calculate the percentage error in Z.
Paragraph: Sol: A:) 4% B:) 8% C:) 12% D:) 16% Q:64) Which of the following has the same unit as energy?
