MTH 104 CBT PRACTICE TEST

Ace/Undergragra July 28, 2023

2 177 1 minute read

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Take your time to read instructions before taking this test.

There are 30 questions which you are to answer in 10 minutes that gives you roughly 30 seconds per question.

If you can get at least 60%, you can be rest assured that you’ll ace MTH 104 exam

In a normal exam you will be asked between 40 – 60 questions but I only arranged 40 questions

Note

Do not be in a hurry to answer the questions

Do not waste time on a question you don’t know

Move as fast as possible and starting with questions that don’t have calculation first to save time

Always crosscheck

Don’t be in a hurry to submit, you are not in a competition

Don’t be scared. Getting an A is easy

Don’t be over confident, you can end up a D, E or F. Calm your blood, no be only you sabi book

Please do well to use our comment box incase there’s a message you want to pass to us

70 – 100 A

60 – 69 B

50 – 59 C

45 – 49 D

40 – 44 E

0 – 39 F

I wish you success

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Created on July 28, 2023 By

Ace/Undergragra

MTH 104

1 / 30

1. A particle starts from rest and moves through a distance S=12t2−2t3 metres in time t seconds. Find its acceleration in 1 second.

A. 10 m s − 2

B. 12 m s − 2

C. 1.2 m s − 2

D. 0.12 m s − 2

2 / 30

Which of the following is a fundamental quantity?

A. Energy

B. Force

C. Time

D. Velocity

3 / 30

3. Copy - A particle starts from rest and moves through a distance S=12t2−2t3 metres in time t seconds. Find its acceleration in 1 second.

A. 10 m s − 2

B. 0.12 m s − 2

C. 12 m s − 2

D. 1.2 m s − 2

4 / 30

4. A car drive for 2h at 40km/h , then for another 2h at 60km/h. What is the car average speed?

A. 75km/hr

B. 25km/hr

C. 100km/hr

D. 50km/hr

5 / 30

5. What is the dimension of Tension

A. M L T^2

B. M L T^-1

C. M T^-3

D. M L T^-2

6 / 30

6. The speed of a car increases from 10m/s to 15m/s and its kinetic energy increases by E₁ later the speed of the car increases from 15m/s to 25m/s and its kinetic energy increase by E₂. What is the ratio E₁/E₂? By

A. 4

B. 2

C. 1

D. 3

7 / 30

7. Copy - The speed of a car increases from 10m/s to 15m/s and its kinetic energy increases by E₁ later the speed of the car increases from 15m/s to 25m/s and its kinetic energy increase by E₂. What is the ratio E₁/E₂? By

A. 1

B. 4

C. 3

D. 2

8 / 30

8. The position vector of a particle is given at time t by r(t) = 2t i – 3t² j , calculate the velocity of the particle

A. 2/4t

B. 2+9t2

C. 2-6t

D. T2-4t

9 / 30

9. A car is moving at 120kmh−1. Find its speed in ms−1.

A. 133.3 m s − 1

B. 33.3 m s − 1

C. 93.3 m s − 1

D. 99.9m s − 1

10 / 30

10. The position vector of a particle is give at time t by r(t) = 2t i + (t² -1) j + 3k

Find the position vector at t= 2

A. 2i-3j

B. -j

C. 4i+3j+3k

D. 2i+4k+5j

11 / 30

11. A boat initially at rest moving at 20m/s is only moving at 2 m/s in the same direction, 25 seconds later. Assuming that the boat’s acceleration was constant, what was the boat's acceleration during this time?

A. 0.88m/s^2

B. 7.2m/s^2

C. 1.6m/s^2

D. 0.72m/s^2

12 / 30

12. If a 150g ball is tied to a pole with a rope of length 1.5m and it spins around the pole at 30m/s. what is the centripetal force?

A. 120N

B. 48N

C. 90N

D. 65N

13 / 30

13. A man of mass 70kg climbs a ladder to the top of 15m height. Calculate the workdone by the weight.

A. -3.11Kj

B. 10.29Kj

C. -8.83Kj

D. -4.66Kj

14 / 30

14. A wheel is rotating at 180rpm. Find its moment of inertia if its mass is 10Kg and radius of gyration is 25cm

A. 450kgm2

B. 12.5kgm2

C. 5.91kgm2

D. 0.625kgm2

15 / 30

15. Given a particle moves from point 0 with velocity v = 3t² -6t +3 and that when t=1, and s=2m find the expression for the acceleration of the particle

A. 6t – 6

B. 4t + 2t

C. t2 +4

D. 3t2 – 4t +3

16 / 30

16. Find the angle between forces of magnitude 7N and 4N if their resultant has a magnitude of 9N.

A. 106.60°

B. 73.40°

C. 39.45°

D. 39.45°

17 / 30

17. A body travelling with a speed of 10m/s has kinetic energy 1500J. If the speed of the body is increased to 40ms^-1, what is its new kinetic energy?

A. 240000J

B. 24000J

C. 2400J

D. 240J

18 / 30

18. The path of a particle is given by r(t) = (t²-t)I + (t² +t)j, the particle is at (0,2,0) when t is?

A. -2

B. -1

C. 3

D. 1

19 / 30

19. Copy - A boat initially at rest moving at 20m/s is only moving at 2 m/s in the same direction, 25 seconds later. Assuming that the boat’s acceleration was constant, what was the boat's acceleration during this time?

A. 7.2m/s^2

B. 0.88m/s^2

C. 0.72m/s^2

D. 1.6m/s^2

20 / 30

20. Calculate excess pressure in an air bubble of radius 6mm. Surface tension of liquid is 0.58N/m

A. 384N/m2

B. 542N/m2

C. 333.3N/m2

D. 172N/m2

21 / 30

21. A body of mass 12kg hangs from a string and is pulled aside by horizontal force of 30N. Find the tension in the string

A. 170N

B. 632N

C. 360N

D. 121N

22 / 30

22. An experiment to measure the force of gravity is set up using two large spheres. The spheres are both 100kg and their mass are 2m apart. What is the force of gravity between these two spheres

A. 1.27*10^5

B. 16.675* 10^5

C. 6.65* 10^4

D. 12.221 * 10^3

23 / 30

23. A ball is thrown vertically upward on the moon returns to its starting point in 4.0s. The acceleration due to gravity there is 1.6m/s² downward. Find the ball’s original speed

A. 1.6m/s

B. 1.0m/s

C. 6.4m/s

D. 3.2m/s

24 / 30

24. Let the position of a particle P be given at time t seconds by r(t) = 2t i + (t² -1) j + 3k , find the displacement of P at the end of 2 seconds?

A. 4i + 3j +3k

B. -k + 3j

C. 4i+4j

D. 2i + 2j +6k

25 / 30

25. A stone which is thrown vertically upward with an initial speed of 80m/s is acted upon by an acceleration called gravity 10ms in the downward direction. Find the maximum height above the point of projection which is attained by the stone

A. 460m

B. 640m

C. 230m

D. 320m

26 / 30

26. A stone of mass 0.1Kg is skimmed across ice. It starts at 5m/s and across to rest after 50m, Find the coefficient of friction

A. 0.25

B. 0.259

C. 1.20

D. 0.025

27 / 30

27. What is the radius of gyration of a circular plate of diameter 26cm?

A. 0.54m

B. 0.42m

C. 0.0919m

D. 1.90m

28 / 30

28. A crate of mass 100kg is sliding down the slope that is at an angle of 30^o. A frictional force of 90N acts on the slope , calculate the net force acting on the incline

A. 400N

B. 360N

C. 200N

D. 240N

29 / 30

29. A body moves with varied acceleration a =6t – 4 and at a time t=0 the body is moving with velocity 3m/s and has a displacement 5m from the origin. Find in terms of t expression for the velocity of the particle

A. 4t2+ 4t + 2

B. 2t-0

C. 2t2 + 3t+ 5

D. 3t2 - 4t + 3

30 / 30

30. A runner covers one lap of a circular track 40.0m in diameter in 62.55 secs. For that lap, what were her average speed and average velocity?

A. 2m/s,6.2m/s

B. 6.2m/s,2m/s

C. 0m/s,2m/s

D. 2m/s,0m/s

Your score is

The average score is 34%