Question

QUESTION ONE [Total: 20 Marks]

a. Friction is indispensable in the affairs of human being.Explain briefly in your own words (NOT MORE THAN 100 WORDS) why the above accession is true or is it false? U [8marks]

b. SI Unit is the modern form of metric system, and is the most widely used System of Measurement. It comprises a coherent system of units measurement built on seven base units. Name and explain each of these base units. U [7marks]

c. Study carefully the table 2 below, copy and fill the blank spaces.

Multiplier	Prefix	Symbol
109		G
	pico	p
	femto	f
103		k
10-6	micro

QUESTION TWO [Total: 20 Marks]

1. While you are on your way coming to lectures you met Mr. Koffie and his wife; Mr. Koffie has a body mass of 100kg, the body mass of Mrs. Koffie is 50kg more. Assuming these two individuals have the same line of application; draw their forces in the following scenarios:

1. Mr. Koffie and Mrs. Koffie are moving in the same direction.
2. Mr. Koffie and Mrs. Koffie are moving in the opposite direction.
3. What is the magnitude of their resultant when they are moving in the same direction?
4. What is the magnitude of their resultant when they are moving in the opposite direction?

                                                                                                   AP [8marks]

2. Because of the COVID 19 pandemic, a company in Ghana was contracted by AIT to produce nose masks for distribution to students. This company has a belt drive facility that dispatches the nose masks from the producing house to the packaging house. The mass of the normal force between a belt and its driver wheel is 880kg. Calculate the maximum force which can be transmitted when the belt is running at a constant speed. Assuming the static coefficient is 0.81 and the dynamic coefficient of friction is 0.77.                                                                                       

                                                                                                               AP [7 marks]

3. A bar has a shape of a rectangle, a tensile force of 27 KN was applied to it. Assuming the bar has a cross sectional area of 105 mm². Calculate the stress

in this bar.

                                     QUESTION THREE [Total: 20 Marks]

1. Due to the water crises that hit your area of residence last year, your landlord built an underground water tank for all the tenants in the house. The dimensions of the tank is 400mmx300mmx100mm. Assuming the mass of the tank is 56.8Kg. Determine:

1. The Volume of the tank.
2. The Density of the tank
3. The Relative Density of the tank

                                                                                                      AP [8 marks]

b. Johnny your good friend, visited you and praised your landlord for his kindness. He then asked you, “what is the minimum force that can be applied on the tank?” He also wanted to know the pressure of the tank. Discuss mathematically what you told him.

                                                                                                      AP [7 marks]

c. Analyse the table 2 below carefully, copy and fill the blank spaces.                                                         

Quantity	Name	Symbol
Frequency		Hz
Volume	Cubic Meter
	Kilogram	Kg
Pressure	Pascal
Acceleration		m/s2

Answer 1

Friction will always acts in opposite direction to body mation. when you are standing an a Idadder shad rest against a rigid wall, ladder Stable in their Friction helps in making moov Surface place. when aihich to for that You are walking on a smoom pour it will cause you Sliding down, may injuries. mat is placed, and mat prevents you from sliding . it you st slippers you walia easily on Smoom bespaces One con cese Lubomo fro walk it is hard to conclude friction is good or No 2002 bad. It depends upon the scenario C002950 cehen you frictions helps you 22 prisper But when in mechanical devices Prahon is bad conig due to friction in mechanical bro delices loss of energy Takes place.

cuestion (6) Fundamental is cenits Seven {1} length meter (m) becond(s) Time Amount of substance » mall (male) electric curent Ampere (A) A singh Bebas Temperature cuminous Inetensity 7 Candela (cd) my Keluin (K) P. mass - kilogram (kg). dow clerghh - meter (m) is defined by Taking Fixed numerical Value of Speed 04 Oglet m Vaccum (c) to be osupressed m undt (m/s). when 299,792, 458 OV Time becond (s) fireed PALE is defined by taking Numerical value Of Gesium frequency AVcsThe wperturbed ground State hyperfine ransition frequency of cesium 133 to be When expressed in one cnit which is equal to St. q 192,631,770 do atom, Hi

Amount of scubstance - male (mal) of one 16.022 14076 X 1023 one mole contains exactly This member is fized Memenical Value Avogadro constant, NA, when erepresed in conit moil and is called Magadro number Fogo HOM 3 electric corrent - Amphore (A) not one fired ist is defined by taking labad to be Memerical value charge. of 1.602176634 x 619 when exprened in unit c (coulom] which is equal to AS. elementory e മാ Temperature 2 Keluin of bu it is defined -29 |value of Taking fixed numerical baltzman constent K to be 1.380649x15² when expressed in unit IK', which is equal to of Egm? 5² ki Bit BOT con clominous Intensity > Candela (Cd) it is defined by taking fired numerical value of luminous efficaly of monochromaho radiation of frequency 540 x 10' bon 12 mo Hz

mass -> (cilogram (kg) -34 Value it is defined by taking Fixed Nemenical planck Constant h to be 6-6260701580 when expressed in unit Jş, which is equal to kg m s. Queshon (C) multiplier Symbol. Prefix 109 Griga M 106 Mega P 12 pico f -us femdo 10 X 3 kilo M -6 lo micro

Baluation to one Question TWO 2 Question given data My Kaste lookg woon 150kg Mrs katse Two Individuals have some line of radari application 12നാടൻ പാ that to Find: (1) , (ii) , (170) , (iv) balution :- be wnie let us Assume My kaffe fit Mrs Kofte = F2 sitrovno nord [meuton] mass & acceleration F= Force DAT due to +7 grauity Mo kotle and Mrs keffe moving in same direction Fi fo line of action same for both of them (1) They are moving in opposite direction. blen mo's in this case. There are Two

Towards each other Case (1) mouing DU (case (ii) mowing away from each other to suior OUT in same direction when morning - brit Ol Resultant from (i) fi Fa Since both one mowing in same direction ZA Resultant tFitFa Bign convention efter er 77 Take it as the > Force as ve = [100x 9.81] + [150x9-81] R = 24 52.5 N

[iv] magnitude of Result and when moving in opposite from (ii) direction obwi bre rot Jota o Саме (1) fl F2 12 Resultant this -FatFi CH (150X9.811 + (100x9-81) R = - 490.5 N case (1) Flerot F2 inom Binula Resultant Do +F2 -fi (150 X9-81) (600x9-81) Enoduced R = + 490.50

Question (a) Best drive sum ndogo sp given data ? mass of the Normal force between belt and Door driver D300 (N) 880kg 0-81 static Coefficient Ms Dynamic coefficient MD = 0.7 op To Find? Maximum Force which can be cuhen beet is running at constant Transmitted speed Gaspx bolution no opht Manümum Force when bect is running Constent Sped Mox Nx9.81 at g= 9.81 mi§ : accelerahon duce to gravity 0.77 x 880 x 9-81 Maniforce 6647.256 Result & Moenim force that can be transmitted when beet is running at constant Speed 6647.256 N 11

Question (m) given data- Rectangle bas mm oou Tensill tone = 27KN Cross sectional 105 mm2 area To Find - Eness in the bar lp Salution P2 Stress Force telet N/mm² Area 27x03 105 big IN/mm² 1 Mega Pascal | Nimm - (Мра Stress 257.1428 Mpa Result? in bas Stress in bas 257.1428 Mpa cam UT mov

(ods Question 3 tubul bab Question (a) poby gruen data src dimensions 400 x 300 x 100 mm mass of Tank = 56.8 kg To Find - bolo W Valume of tank (ii) Density of Tank (iii) Relative Density of Tanko Salution Eauxre (1) volume of Tank (V) V dength & Breadh x height - 400 x 300 xloo V → 12,000,000 mma (ii) Density of Tank (e) M 84.12 mass of Tank kg mm Volume of Tank 56.8 12,000,ooo 4.7333 x 06

1 mm = 10 m. Imm3 - 10 m2 boito - 4-7333 x06 kg WIDT 109 ma minta bis e .=) 4-733 x 10 103 ma WOOD in) Relative density of Tank. 13-P density of Tank density of Standord Fleid = water moo porte type =7 ribed tebou 4-733 xos 1000 RO 4.939 NAP enlerin suewater numinine (600 kg ma neblanes brus all Result? X DO V= 12,000, 600 mma 733 x 103 Kg (1) 4.733 x - ma (od RD 4.733

Question (6) 100mm To find - Pressure on the 300 mm 400mm Tank and minimum Tore on the TonK balution- We know That Now Pressure P- egh a (7m2) Anot to stiansta 1000 x 9.81 x 100x63 bunt srusnote h= loo mm = 20 height of Tank Р - 981 ander Full Condition minimum force f = f = egah consider (300 X 100) area because This is one Smaller area and n = 9 - Looo x 9.81 x 300 x 200 x 100 x 10 2 FF 14.715. N If you consider (Boox400) area ta 1000 x9-81 & Boo x 63 x 400 х 3 2 F = 19.62 Nl

Question 2009 Quantity Name Symbal no tanio Hertz tor bond Hz Frequency soup or 3 3 M Cubic meter Volume nome kg mass bu kilogram Do the Pati Pascal win metre for Second square. m/s2 Pressure om on. Acceleration Dor 42