"Motion, Gravitational Field, and Equilibrium of Forces" question number distribution across years

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JAMB questions for "Physics :: Motion, Gravitational Field, and Equilibrium of Forces"

Q1

A car of mass 1500kg goes round a circular curve of radius 50m at a speed of 40ms^{-1 }. The magnitude of the centripetal force on the car is

A

1.2 x 10^{3}N

B

4.8 x 10^{4}N

C

1.2 X 10^{2} N

D

4.8 X 10^{3} N

E

Q2

Two spheres of masses 5.0kg and 10.0kg are 0.3m apart. Calculate the force of attraction between them.

A

4.00 x 10^{-2} N

B

3.57 X 10^{-2} N

C

3.71 X 10^{-8 }N

D

3.50 X 10^{-10 }N

E

Q3

From the diagram beside, the bob of the pendulum has the fastest speed at

A

Z

B

X

C

W

D

Y

E

Q4

A shooter wants to fire a bullet in such a way that its horizontal range is equal to three times its maximum height . At what angle should he fire the bullet to achieve this?

A

45°

B

30°

C

68°

D

53°

E

Q5

The motion of smoke particles from a chimney is typical of

A

circular motion

B

rotational

C

random motion

D

oscillatory motion

E

Q6

A motorcyclist travelling at 30 ms^{-1} starts to apply his brakes when he is 50 m from the traffic light that has just turned red. If he just reached the traffic light, his deceleration is

A

5 m s^{-2}

B

9 m s^{-2}

C

10 m s^{-2}

D

18 m s^{-2}

E

Q7

An object is projected from a height of 80 m above the ground with a velocity of 40 m s^{-1} at an angle of 30° to the horizontal. The time of flight is

A

4 s

B

16 s

C

10 s

D

8 s

E

Q8

The value of F in the figure below when in equilibrium is

A

10N

B

12N

C

27N

D

20N

E

Q9

In the figure below, the coefficient of static friction is 0.5. If the tension in the string is T, the acceleration of the system in motion is

A

15ms^{-2}

B

3ms^{-2}

C

5ms^{-2}

D

9ms^{-2}

E

Q10

I. Jet-propelled aircraft
II. Rocket propulsion
III. The recoil of a gun
IV. A person walking
Which of the above is based on Newton's third law of motion?

A

I and II only

B

I, II, III and IV

C

I and III only

D

I, II and III only

E

Q11

A satelite is in parking orbit if its period is

A

more than the period of the earth

B

equal to the period of the earth

C

the square of the period of the earth

D

less than the period of the earth

E

Q12

A force of 100N is used to kick a football of mass 0.8kg. Find the velocity with which the ball moves if it takes 0.8s to be kicked

A

100ms^{-1}

B

32ms^{-1}

C

50 ms^{-1}

D

64ms^{-1}

E

Q13

If the total force acting on a particle is zero, the linear momentum will

A

increase then decrease

B

be constant

C

increase

D

decrease

E

Q14

The effect of a particle in a fluid attaining its terminal velocity is that the

A

weight is equal to the retarding force

B

acceleration is maximum

C

buoyancy force is more than the weight of the fluid displaced

D

buoyancy force is equal to the viscous retarding force

E

Q15

If the distance between two suspended masses 10 k each is tripled, the gravitational force of attraction between them is reduced by

A

one quarter

B

one ninth

C

one half

D

one third

E

Q16

Two forces each of 10N act on a body , one toward the north and the other towards the east. The magnitude and the direction of the resultant force are

A

10 √2N, 45°E

B

10 √2N, 45°W

C

20N, 45°W

D

20N, 45°E

E

Q17

A body weighing 80N stands in an elevator that is about to move. The force exerted by the floor on the body as the elevator moves upwards with an accelerator of 5 ms^{-2} is

A

160 N

B

120 N

C

80 N

D

40 N

E

Q18

A particle in circular motion performs 30 oscillations in 6 seconds. Its angular velocity is

A

10π rad s^{-1}

B

5π rad s^{-1}

C

6 rad s^{-1}

D

5 rad s^{-1}

E

Q19

The diagram below shows the force (F) acting on an object through a distance (X). The work done on this object is expressed as

A

Fx2 J

B

Fx J

C

f/x J

D

fx/2 J

E

Q20

The resultant of two forces acting on an object is maximum if the angle between them is

A

180°

B

90°

C

45°

D

0°

E

Q21

In the diagram below, which of the simple pendula will resonate with P when set into oscillation?

A

Q and R

B

R and T

C

T

D

U

E

Q22

A catapult used to hold a stone of mass 500 g is extended by 20 cm with an applied force F. If the stone leaves with a velocity of 40 ms^{-1} , the value of F is

A

4.0 X 10^{4} N

B

4.0 X 10^{3} N

C

2.0 X 10^{3} N

D

4.0 X 10^{2 } N

E

Q23

A hand bag containing some load weighing 162 N is carried by two students each holding the handle of the bag next to him. If each handle is pulled 60° to the vertical, find the force on each student's arm.

A

324 N

B

162 N

C

121 N

D

41 N

E

Q24

A simple pendulum has a period of 17.0s. When the length is shortened by 15.m, its period is 8.5. Calculate the original length of the pendulum.

A

1.5m

B

2. 0 m

C

3. 0 m

D

4.0 m

E

Q25

I. Its velocity is constant
II. No work is done on the body
III. It has constant acceleration directed away from the centre
IV. The centripetal force is directed towards the centre
Which combination of the above is true of a body moving with constant speed in a circular track?

A

I and III

B

I and IV

C

II and III

D

II and IV

E

Q26

The velocity v of a particle in a time t is given by the equation v = 10 + 2t^{2}. Find the instantaneous acceleration after 5 seconds

A

10 ms^{-2}

B

15 ms^{-2}

C

20 ms^{-2}

D

60 ms^{-2}

E

Q27

If the force and the velocity on a system are each reduced simultaneously by half, the power of the system is

A

doubled

B

constant

C

reduced to a quarter

D

reduced by half

E

Q28

A rope of being used to pull a mass of 10 kg vertically upward. Determine the tension in the rope if, starting from rest, the mass acquires a velocity of 4 ms^{-1} in 8s. ( g = 10ms^{-2})

A

105 N

B

95 N

C

50 N

D

5 N

E

Q29

A stream is flowing at 0.75 ms^{-1} and a boat heading perpendicular for the stream landed at the opposite bank at angle 30°. Calculate the velocity of the boat .

A

0.65ms^{-1}

B

0.86 ms^{-1}

C

1.00 ms^{-1}

D

1.50 ms^{-1}

E

Q30

The diagram below shows the velocity-time graph of a vehicle. Its acceleration and retardation respectively are

A

8.0 ms^{-2} and 4.0 ms^{-2}

B

4.0 ms^{-2} and 8.0 ms^{-2}

C

4.0 ms-^{2 }and 2.0 ms^{-2}

D

2.0 ms^{-2 }and 4.0 ms^{-2}

E

Q31

Two bodies have masses in the ratio 3:1 . They experience forces which impart to them acceleration in the ratio 2:9 respectively . Find the ratio of the forces the masses experience

A

1 : 4

B

2 :1

C

2 : 3

D

2 :5

E

Q32

A particle of mass 10^{-2} kg is fixed to the tip of a fan blade which rotates with angular velocity of 100 rad s^{-1} if the radius of the blade is 0.2m, the centripetal force is

A

2 N

B

20 N

C

200 N

D

400 N

E

Q33

In Fleming's right-hand rule, the thumb, the fore-finger and the middle finger if held mutually at right angles represent respectively, the

A

motion, the field and the induced current

B

induced current, the motion and the field

C

field, the induced current and the motion

D

induced current, the field and the motion

E

Q34

A body on the ground is acted on by a force of 10N at a point P as shown in the diagram. What force is needed to stop the body from moving eastward?

A

5N in the direction of East

B

5N in the direction of West

C

5√3N in the direction of West

D

10N in the South-West direction

E

Q35

A ball is moving at 18 ms^{-1 }in a directional inclined at 60°C to the horizontal. The horizontal component of its velocity is

A

9√3 ms^{-1}

B

6 √3 ms^{-1}

C

6√3 ms^{-1}

D

9 ms^{-1}

E

Q36

In free fall, a body of mass 1 kg drops from a height of 125 m from rest in 5 s. How long will it take another body of mass 2 kg to fall from rest from the same height?

A

5 s

B

10 s

C

12 s

D

15 s

E

Q37

A ball of mass 0.15 kg is kicked against a rigid vertical wall with a horizontal velocity of 50 ms^{-1}. If it rebounced with a horizontal velocity of 30 ms^{-1}, calculate the impulse of the ball on the wall.

A

3.0 Ns

B

4.5 Ns

C

7.5 Ns

D

12.0 Ns

E

Q38

The force of attraction between two point masses is 10^{-4} when the distance between them is 0.18m . If the distance is reduced to 0.06m, calculate the force

A

1.1 x 10^{-5}N

B

3.3 x 10^{-5}N

C

3.0 x 10^{-4}N

D

9.0 x 10^{-4}N

E

Q39

A bullet fired at a wooden block of thickness 0.15m manages to penetrate the block. If the mass of the bullet is 0.025 kg and the average resisting force of the wood is 7.5 X 10^{3} N, calculate the speed of the bullet just before it hits the wooden block.

A

450 ms^{-1}

B

400 ms^{-1}

C

300 ms^{-1}

D

250 ms^{-1}

E

Q40

In an experiment, a constant force is applied to several masses (m) and the corresponding accelerations (a) are measured. Which of the following graphs correctly represent the experiment?

A

III and IV only

B

II and IV only

C

I and III only

D

I and II only

E

Q41

At what respective values of x, y and z would the unit of force, the newton, be dimensionally equivalent to M^{x}L^{y}T^{z }?

A

-1, 1 ,2

B

1 , 1, -2

C

1, -1, 2

D

-1, 1, -2

E

Q42

The distance xm traveled by a particle in time t seconds is described by the equation x = 10 + 12t^{2}. Find the average speed of the particle between the time interval t= 2s and t =5s

A

60 ms^{-1}

B

72 ms^{-1}

C

84 ms^{-1}

D

108 ms^{-1}

E

Q43

An arrow of ma0.1 kg moving with a horizontal velocity of 15 ms^{-1 } is shot into wooden block of mass 0.4kg lying at rest on a smooth horizontal surface. Their common velocity after impact is

A

15.0 ms^{-1}

B

7.5 ms^{-1}

C

3.8 ms^{-1}

D

3.0 ms^{-1}

E

Q44

Two bodies X and Y are projected on the same horizontal plane, with same initial speed but at an angle 30° and 60° respectively to the horizontal. Neglecting air resistance, the ratio of the range of X to that of Y is

A

1 : 1

B

1 :2

C

√3 : 1

D

√1 : 3

E

Q45

Which of the following with respect to a body performing simple harmonic motion are in phase?

A

Displacement and velocity of the body

B

Displacement and force on the body

C

Velocity and acceleration of the body

D

Force acting on the body and the acceleration

E

Q46

A body of mass 2 kg moving vertically upwards has its velocity increased uniformly from 10 ms^{-1} to 40 ms^{-1 }in 4s. Neglecting air resistance, calculate the upward vertical force acting on the body .

A

15 N

B

20 N

C

35 N

D

45 N

E

Q47

A planet has mass m_{1}, and is at a distance r_{1 }from the sun. A second planet has mass m_{2} = 10m_{1} and is at a distance of r_{2} = 2r_{1} from the sun. Determine the ratio of the gravitational forces experienced by the planets.

A

1 : 5

B

2 : 5

C

3 :5

D

4 : 5

E

Q48

For what value of θ are the forces in the diagram beside in equilibrium?

A

15°

B

30°

C

45°

D

60°

E

Q49

The velocity-time graph of a body moving in a straight line and decelerating uniformly to rest is represented by

A

B

C

D

E

Q50

The acceleration of the system shown below is

A

2 ms^{-2}

B

4 ms^{-2}

C

6 ms^{-2}

D

8 ms^{-2}

E

Q51

The length of a displaced pendulum bob which passes its lowest point twice every second is

A

0.25 m

B

0. 45 m

C

0.58

D

1.00 m

E

Q52

When a ball rolls on a smooth level ground, the motion of its center is

A

translational

B

oscillatory

C

random

D

rotational

E

Q53

What is the acceleration due to gravity 'g' on the moon, if g is 10 m^{-2} on the earth?

A

0.10 ms^{-2}

B

0.74 ms^{-2}

C

1.67 ms^{-2}

D

10.00 ms^{-2}

E

Q54

A body is projected from the earth's surface with the intension of letting it escape from the earth's gravitational field. What is the minimum escape velocity of the body?

A

14 km s^{-1}

B

13 km s^{-1}

C

12 km s^{-1}

D

11 km s^{-1}

E

Q55

A vehicle of mass m is driven by an engine of power P from rest. Find the minimum time it will take to acquire a speed V

A

mv2/P

B

mv2/2P

C

mv/P

D

mv/2P

E

Q56

A boat travels due east at a speed of 40 ms^{-1} across a river flowing due south at 30ms^{-1}. What is the resultant speed of the boat?

A

1.3 ms^{-1}

B

10.0 ms^{-1}

C

50.0 ms^{-1}

D

70.0 ms^{-1}

E

Q57

An object is projected with a velocity of 80 ms^{-1} at an angle of 30° to the horizontal. The maximum height reached is

A

20 m

B

80 m

C

160 m

D

320 m

E

Q58

A motor vehicle is brought to rest from a speed of 15 ms^{-1} in 20 seconds . Calculate the retardation

A

0.75 ms^{-2}

B

1.33 ms^{-2}

C

5.00 ms^{-2}

D

7.50 ms^{-2}

E

Q59

Which of the following is TRUE of a particle moving in a horizontal circle with constant angular velocity?

A

The energy is constant but the linear momentum varies

B

The linear momentum is constant but the energy varies

C

Both energy and linear momentum are constant

D

The speed and the linear velocity are both constant

E

Q60

Calculate the velocity ratio of a screw jack of pitch 0.3cm if the length of the tommy bar is 21 cm

A

1/140 π

B

14π

C

70 π

D

140 π

E