"Motion" question number distribution across years

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WAEC questions for "Physics :: Motion"

Q1

In a hydraulic press, a force of 40 N is applied to the smaller piston of area 10 cm^{2 }. If the area of the larger piston is 200 cm^{2 } , calculate the force obtained.

A

800 N

B

500 N

C

80 N

D

50 N

E

**Answer:** A

Q2

Which of the following types of motion will be produced when a pair of equal and opposite non-collinear parallel forces acts on a body ?

A

Vibrational motion

B

Random motion

C

Translational motion

D

Rotational motion

E

**Answer:** D

Q3

A body moving in a circle at constant speed has

I. a velocity tangential to the circle

II. a constant kinetic energy

III. an acceleration directed towards the circumference of the circle .

Which of the statements above **correct**?

A

I and II only

B

II and III only

C

I and III only

D

I,II and III

E

**Answer:** C

Q4

A car moves with speed of 30 ms^{-1 .} Calculate the distance traveled in 30 s .

A

30 m

B

60 m

C

450 m

D

900 m

E

**Answer:** D

Q5

A moving body accelerates when it

A

changes it direction at constant speed

B

maintains a constant linear speed

C

covers equal distance in equal times in a straight line

D

is acted upon by balanced forces

E

**Answer:** C

Q6

Two forces 6N and 8N, act eastwards and northwards respectively on a body. Calculate the magnitude of their equilibrant.

A

2 N

B

7 N

C

10 N

D

14 N

E

**Answer:** C

Q7

The period of a simple pendulum of a length of the pendulum was increased by X. Calculate X

A

26.7cm

B

40.0cm

C

160.0cm

D

240.0cm

E

**Answer:** C

Q8

A body of mass 5kg moving with a velocity of 30ms^{-1} due east is suddenly hit by another body and changes its velocity to 50ms^{-1} in the same direction. Calculate the magnitude of the impulse received.

A

100 Ns

B

150 Ns

C

250 Ns

D

400 Ns

E

**Answer:** A

Q9

A boat is rocked by waves of speed 30ms^{-1} whose successive crests 10 m apart. Calculate the rate at which the boat receives the waves

A

30s^{-1}

B

10s^{-1}

C

3s^{-1}

D

1s^{-1}

E

**Answer:** C

Q10

Which of the following is/are in random motion?

I. Pollen grains in water

II. The molecules of hydrogen gas

III. Fine chalk particles floating in air

A

I and II only

B

I and III only

C

II and III only

D

I, II and III

E

**Answer:** D

Q11

A car travelling with a uniform velocity of 30 ms^{-1 }along a horizontal road overcomes a constant frictional force of 600N. Calculate the power of the engine of the car

A

18kW

B

20kW

C

180kW

D

200kW

E

**Answer:** A

Q12

The diagram here represents the displacement-time graph of the motion of an object thrown upwards. The velocity of the object at the point P is

A

maximum

B

uniform

C

zero

D

terminal

E

**Answer:** D

Q13

A very sensitive spring balance was used to determine the weight of an object at a pole. When the same spring balance was used to measure the weight of the same object at the equator, it was found to reduce. The explanation for this observation is that

A

it is very hot at the equator

B

the spring balance has expanded

C

the acceleration of free fall due to gravity varies with location

D

terminal

E

the mass of the body is reduced

**Answer:** C

Q14

The diagram here shows three forces **F**_{1 }**F**_{2} and **F**_{3} which keep the bar **AB **in horizontal equilibrium . which of the following equation is correct?

A

F_{3} = F_{1} + F_{2}

B

F_{2} = F_{1} + F_{3}

C

F_{1} =F_{2}-F_{3}

D

F_{1=} F_{2}+ F_{3}

E

**Answer:** D

Q15

A mass attached to a string is moving in a circular path. If the speed is doubled, the tension in the string will be

A

doubled

B

halved

C

four times as great

D

one-fourth as much

E

**Answer:** D

Q16

An object of mass 2 kg moving with a velocity of 3ms^{-1} collides head on with another object of mass 1kg moving in the opposite direction with a velocity of 4ms^{-1 . }If the objects stick together after collision , calculate their common speed

A

0.60 ms^{-1}

B

0.67ms^{-1}

C

2.00ms^{-1}

D

3.33 ms^{-1}

E

**Answer:** B

Q17

A ball is dropped and it hits the floor at a point A. It rebounds upwards to a point B . While moving from A to B its

A

Kinetic energy is increasing

B

potential energy s increasing

C

potential energy is decreasing

D

kinetic energy remains constant

E

**Answer:** C

Q18

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 of contact

A

I and II only

B

I and III only

C

II and III only

D

I, I I and III

E

**Answer:** D

Q19

A man 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 expression is correct?

A

Fu =mg

B

U + F - mg = 0

C

U -F =mg

D

F - U -mg = 0

E

**Answer:** D

Q20

A body moving at a constant speed accelerates when it is in

A

rectilinear motion

B

translational motion

C

circular motion

D

vibrational motion

E

**Answer:** B

Q21

An object of mass 2 kg moves with a uniform speed of 10 ms^{-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}

E

**Answer:** A

Q22

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

E

**Answer:** D

Q23

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 expression

A

s = ( v -2 ) t

2

B

s = ( v + 2u ) t

2

C

s = (v+u)t

2

D

s = (2v + u) t

2

E

**Answer:** C

Q24

A body accelerates uniformly from rest at 2ms^{-2. }Calculate the magnitude of its velocity after traveling 9m

A

4.5ms^{-1}

B

6.0ms^{-1}

C

18.0ms^{-1}

D

36.0ms^{-1}

E

**Answer:** B

Q25

The diagram above illustrates three forces acting on an object at point O . If the object is in equilibrium, determine the magnitude of the force P

A

10.5N

B

11.0N

C

17.3N

D

20.0N

E

**Answer:** D

Q26

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

E

**Answer:** D

Q27

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 streched and released, what is the angular frequency of the subsequent motion? [ g = 10 ms^{-2} ]

A

10√15 rads s^{-1}

B

5√2 rads s^{-1}

C

5 rad s^{-1}

D

√5 rads s^{-1}

E

**Answer:** B

Q28

An eternal 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}

E

**Answer:** C

Q29

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

240.00N

B

800.00N

C

1600.00N

D

2400.00N

E

**Answer:** A

Q30

A plane inclined at 30^{o } to the horizontal has an efficiency of 50% . Calculate the force parallel to the plane required to push a load of 120 N uniformly up the plane

A

50.0N

B

120.0N

C

200.0N

D

240.0N

E

**Answer:** D

Q31

An object is said to undergo oscilatory motion when it moves

A

in an erratic manner

B

to and fro about a fixed point

C

in a circular path

D

along a continuos path from the starting point

E

**Answer:** B

Q32

A moving car of mass 800kg experiences a frictional force of 200N. if it accelerates at 2 ms^{-2} calculate the magnitude of the force applied to the car

A

600N

B

1000N

C

1600N

D

1800N

E

**Answer:** D

Q33

A body is rotating in a horizontal circle of radius 2.5m with an angular speed of 5 rad s^{-1} . Calculate the magnitude of the radial accelaration of the body

A

62.50ms^{-2}

B

31.25ms^{-2}

C

12.50ms^{-2}

D

10.00ms^{-2}

E

**Answer:** A

Q34

Uniform speed occurs when there is equal change of

A

distance in equal times

B

displacement in equal times

C

velocity in equal times

D

acceleration in equal time

E

**Answer:** A

Q35

A car accelerates uniformly from rest at 5 ms^{-2} . Determine its speed after 10s

A

50.0 ms^{-1}

B

25.0ms^{-1}

C

2.0ms^{-1}

D

0.5ms^{-1}

E

**Answer:** A

Q36

The diagram above shows the speed-time graph of a car. If the car covered a total distance of 600m in 25s, calculate its maximum speed

A

30 ms^{-1}

B

25ms^{-1}

C

20 ms^{-1}

D

15 ms^{-1}

E

**Answer:** A

Q38

Which of the following statements about simple harmonic motion is correct?

A

total mechanical energy is always conserved

B

linear acceleration is directed to any variable point

C

linear acceleration varies inversely with displacement

D

period of oscilation varies linearly as acceleration due to gravity

E

**Answer:** B

Q39

A force acting on a body causes a change in the momentum of the body from 12kg ms^{-1 }to 16 kgms^{-1 }in 0.2s. Calculate the magnitude of the impulse.

A

28.0Ns

B

20.0Ns

C

4.0 Ns

D

0.8 Ns

E

**Answer:** C

Q40

A stone of mass 2.0kg is thrown vertically upwards with a velocity of 20.0ms^{-1 },calculate the initial kinetic energy of the stone

A

200 J

B

400 J

C

800 J

D

1600 J

E

**Answer:** B

Q41

The velocity ratio of an inclined plane, inclined at an angle Θ to the horizontal can be expressed as

A

( sin θ)

B

sin θ

C

( cos θ)^{-1}

D

cos θ

E

**Answer:** A

Q42

The friction which exist between two layers of liquid in relative motion is called

A

capillarity

B

surface tension

C

viscosity

D

cohesion

E

**Answer:** C

Q43

A body of mass 25kg, moving at 3ms^{-1} on a rough horizontal floor is brought to rest after sliding through a distance of 2.50cm on the floor. Calculate the coefficient of sliding friction [g = 10.0ms^{-2}]

A

0.09

B

0.18

C

0.36

D

0.54

E

**Answer:** F

Q44

A wheel and axle of radil 800mm and 200mm respectively is used to raise a body of weight 800N by the application of 250N. Calculate the efficiency of the machine

A

85%

B

80%

C

60%

D

20%

E

**Answer:** B

Q45

Masses M_{1} and M_{2} at the 20-cm and 65-cm marks respectively of a uniform meter rule freely suspended at its centre of gravity. If the meter rule balances horizontally, determine the tratio m_{2:}m_{1}

A

2:1

B

3:3

C

2:3

D

1:2

E

**Answer:** A

Q46

Which of the following type of motion does a body does undergo when acted upon by a couple?

A

Vibrational

B

Translational

C

Rotational

D

Random

E

**Answer:** C

Q47

A body starts from rest and accelerates uniformly at 5ms^{-2} until it attains a velocity of 25ms^{-1}. Calculate the time taken to attain this velocity

A

2.5s

B

5.0s

C

10.0s

D

125.0s

E

**Answer:** B

Q48

A particle accelerates uniformly from rest at 6.0ms^{-2} for 8s and then decelerates uniformly to rest in the next 5s. determine the magnitude of the deceleration.

A

9.6ms^{-2}

B

24.0ms^{-2}

C

30.0ms^{-2}

D

48.0ms^{-2}

E

**Answer:** A

Q49

The frequency of a swinging pendulum is the

A

number of complete oscillations the pendulum makes in one second

B

number of amplitudes the bob makes in one second

C

angle the bob swings through in one second

D

distancew the bob covers in one second

E

**Answer:** A

Q50

Which of the following statements about an object perfoming simple harmonic motion is correct? Its acceleration

A

is maximum at the extreme ends

B

constant and directed towards a fixed point

C

is zero when it is diosplaced from the eqwulibrum positions

D

varies linearly with the displacement from a fixed point and is directed towards the fixed point

E

**Answer:** B

Q51

A body of mass 5kg moving with a velocity of 10ms^{-1 }colides with a stationary body ofg mass 6kg. If the two bodies stick togther and move in the same direction after the collision, calculate their common velocity

A

4.55ms^{-1}

B

12.00ms^{-1}

C

30.00ms^{-1}

D

50.00ms^{-1}

E

**Answer:** A

Q52

Fuel was consumed at steady rate of 5.0 x 10^{-2} kg per second in a rocket engine and ejected as gas with a speed of 4 x 10^{3} ms^{-1}. Determine the thrust on the rocket.

A

20N

B

80N

C

200N

D

800N

E

**Answer:** C

Q53

An elastic string of farce constant 200 Nm^{-1} is stretched through 0.8m within its elastic limit. Calculate the energy stored in the string .

A

64.0 J

B

80.0 J

C

128.0 J

D

160 .0 J

E

**Answer:** A

Q54

The speed of an object in rectillinear motion can be determined from the

A

area under a velocity-time graph

B

area under a distance-time graph

C

slope of a distance-time graph

D

slope of a velocity-time graph

E

**Answer:** C

Q55

A body is said to be moving with uniform acceleration if it experiences equal

A

increases in velocity at equal time intervals

B

decreases in velocity at equal time interval

C

increases in speed at equal time intervals

D

decreases in speed at equal time interval

E

**Answer:** A

Q56

A body dropped from a certain height above the ground level, falls with uniform

A

speed

B

velocity

C

acccelaration

D

retardation

E

**Answer:** C

Q57

A body of mass 8kg moving with a speed of 30ms^{-1} is brought to rest in 2.5s by a constant retarding force. Calculate the magnitude of the force

A

240N

B

96N

C

20N

D

9N

E

**Answer:** B

Q58

A force acting on a body causes a change in the momentum of the body from 12kgms^{-1} in 0.2s. Calculate the magnitude of the force.

A

140.0N

B

20.0N

C

4.0N

D

0.8N

E

**Answer:** B

Q59

The bob of a simple pendulum has a mass of 0.02 kg. Determine the weight of the bob

[g= 10 ms^{-2} ]

A

0.02N

B

0.20N

C

4.0N

D

0.8N

E

**Answer:** B

Q60

A ball bearing is projected vertically upwards from the ground with a velocity of 15ms^{-1}. Calculate the time taken by the ball to return to the ground.

[g = 10ms^{-2} ]

A

1.5s

B

3.0s

C

5.0s

D

7.5s

E

**Answer:** B