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(1)Vectors defer from scalars , because __ (A)direction of scalars must he considered together with the magnitude, (B)direction of vectors must be considered in computing its magnitude direction of scalars can he represented with arrow-headed I lines,(D)because direction of vectors are following methods can be used to add or resolve vectors except:(10parallelogram nule (B)triangle rule,(C)rectangle rule,(D)method of Pythagoras.(3)II'a body in motion or at rest is in equilibrium,it means that __ (A)All the forces acting on it is equivalent to zero force(B)All the forces acting on it has a resultant(C)The resultant of all the forces closes the triangle when drawn head to tail(D)The resultant of all the forces closes the rectangle when drawn head to tail (4) Statics of particle defers from that of the rigid body in the following ways except __ :(A)Forces acting at a point are studied and the shape of the body is neglected(B)Moments are not considered in particle statics(C)The r rigid body y is treated as a combination of several particles(D)The forces and their turning effects are considered in rigid body statics (5)A force of 50N and 70N acts on a hook as shown in Fig. I, the correct triangle of force for the resultant is: (6) The resultant of the 70kN C forces in Figl of Question 5 is:(A)20.85K N 50kN D (B) 30.5 KN(C)40.81KN (D) 10025KN (7)A force 50kN 70kN A & B F shown in Fig. 2 can be resolved as __ in x- axis (A)F cos 0 (B)F sin 6 Fig 1 (C)F tan 6(D)F cot e (8)The support of the Engineering structure shown in Fig. 3 is called and it has the following reactions: Ay, Ax and M_(A) (A) Cantilever; 10KN.OKN and 50KNM (B)Fixed support; 10KN, OK N and 50KN (C) Cantilever; 50KNM 10KN, OKN (D) Ilinged support: 50KNM, x 10KN and OKN (9)The simple beam shown in l'ig 4.0 has the Fig5 following constraints As, A and B,(A)2SKN, 50 KN and 25KN (B)26K N Fig 2 60 and 25KN 50KN and 30KN JOOKN (D)60KN, 100KN and 50KN (10)For the simple beam shown in fig 5. find the reactions at the supports: A, A, and B. :(A)OKN , 6KN and 60 AKN (B)OKN. 4KN and 6K N (C)6KN, OKN and A B 4KN (D)4KN , 6KN and OKN(11)Fig_6 is a joint in a truss, calculate the value of the member force FAD(A ).OKN(B).8KN (C)9.OKN (D)-9.0KM (12)In lig 6, what is the value of the force sm FAB(A)12.52KN(B)-12.52KN(C)14.42KN(D)-14.42KN Fig 7.0 shows a gable roof truss, well numbered in bow's notations and a corresponding Maxwell's Cremona force diagram drawn. The scale of the force diagram is i.C. the length of the lines in centimeter represents the forces in Kiloncwtons. Use Pythagoras theorem where necessary and answer question 13-19 (13)The reaction at support (B):10KN/C)/2KN/DH+12KN(14)The reaction at support B is:(A)8KN(B 4.42KN(D)-14.42KN(15)The force in member AD is compression (B)9KN. compression(C)BKN.Tension (D)9KN, tension(16)The force in member DC is: (A)8K N. tension(B)9KN. compression(C)8KN, compression(D)9KN. tension(17)What is the force in member BD?(A)20KN,tension(B)20KN. compression (C)40KN, tension(D)40KN. 12cr compression(18)The force in member AB is(A)14.42kN, compression(B) 4442kV, tension(C)R.0kN tension(D)9.0kN Fig 6 (A)It is the study of the condition of rest of bodies acted upon by forces.(B)It studies the condition of equilibrium of stationary bodies acted upon by forces (c)It studies the condition of equilibrium of bodies acted upon by forces but moving with uniform velocity(D)All of the above (21) A mathematical expression possessing both magnitude and direction and added according to law is called(A)Scalars (B)Vectors (C) Quantities (D) All of the above(22) A force is given as F=250i+354j-250k what is its magnitu (B) 700 (C) 900 (D)1000 (23) lfa vector makes the following angles 73.49,116.4 and makes the following angles 31.0^circ withx. 0.860i+0.439j+0.781k 5)0.8601+0.43i-0.78ik(D)0.100i+2.404i-0.900k 500.860i+u_(2)+12i(O)50i+150i-45(8)5O_(1)+250j-55kF50kC (C) 10i+ P_(1)(20.0,60,100),P_(2)(40,130,150) express this force in space co 12.04i+60.72j+70k 60i+80j+10k(26) A vector makes the following angles x=40^circ ,y=70^circ and y axis,respectively; what angles does it E_(1)=20i+50i+10K,F_(2)=70i+10j-30k and F_(3)=xi+yi+zk are
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MoreAnswer ALL questions. Write your answers in the spaces provided. Some questions must be answered with a cross in a box 凶 . If you change your mind about an answer, put a line through the box and then mark your new answer with a cross ⊠ . 1 (a) State three differences between radio waves and sound waves. (3) 1 2 3
The diagram shows a prism placed on a horizontal floor. The prism has height 5m The volume of the prism is 30m^(3) The pressure on the floor due to the prism is 55 newtons //m^(2) Work out the force exerted by the prism on the floor.
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9.4.2 Test (CST): Computer-Scored Unit Test Questlon 4 of 25 An electromagnetic wave has a frequency of 3.7 xx10^(18)Hz and a speed of 3xx 10^(8)m//s . Use the equation for wavelength to calculate the wavelength of this wave. A. 8.11 xx10^(-11)m B. 8.31 xx10^(12)m C. 1.11 xx10^(27)m D. 4.51 xx10^(-6)m
09.3.A Questions - Conservation of momentum Name. Testing conservation of momentum 1 During a game of tennis a ball of mass 0.052kg is thrown up vertically and then hit with a tennis racquet. Its horizontal velocity immediately after the serve is 250kmh^(-1) . a What is the horizontal velocity of the ball in ms^(-1) ? 250 xx1000-:60^(2)=69.4ms^(-1) 69ms^(-1) b Calculate the horizontal momentum of the ball immediately after it is served. (1 mark) 0.052 xx69=5.0kyms^(-1) (1 mark) c The racquet and ball are in contact for 0.08s . Calculate the net force acting on the ball due to the racquet. (2 marks)
A piece of cheese has a mass of 232g and a density of 1.6g//cm^(3) . Calculate the volume of the cheese.
A satellite travelled at a speed of 7473 metres per second for 2872 seconds. Use a calculator and the formula below to calculate the distance that the satellite travelled during this time. Give your answer in metres (m) to 3 s.f.
A watering can holds 0.00031m^(3) of water. What is this volume in mm^(3) ?
f. State the condition for total internal reflection of light to occur g. State the law of refraction of light h. List the properties of light wave and explain any two of them with the aid of a diagram i. The critical angle for a transparent substance is 39° . Calculate the refractive index.
PHYSICS A catapult used to hold a stone of mass 500g is extended by 20cm with an applied force F . If the stone leaves with a velocity of 40ms^(-1) , the value of F is A. 4.0 xx10^(4)N C. 2.0 xx10^(3)N B. 4.0 xx10^(3)N D. 4.0 xx10^(2)N m+500,=0.5ks e=20cmquadc_(0)=0.2m v=arm-1^(-1) The frictional force is independent of the area of the surfaces in contact. The frictional force depends on the nature of the surfaces in contact. III. The frictional force depends on the speed of sliding. IV. The frictional force is directly proportional to the normal reaction. Which combination of the above is true of sliding friction? A. I, II and IV C. I, III and IV B. I, II and III D. II, III and IV 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. sqrtv=10+2l^(2) A. 10ms^(-1) B. 15ms^(-1) C. 20ms^(-1) D. 60ms^(-1) sqrt=+0+2xx5^(2) 4. If the force and the velocity on a system are each reduced simultaneously by half, the power of the system is A. Doubled ℓ . Reduced to a quarter B. Constant Đ. Reduced by half 5. The velocity ratio of a machine is 5 and its efficiency is 75% . What effort would be needed to lift a load of 150N with the machine? A. 50N B 40N C. 30N D. 20N