from equ (i) v= u + at ————————(iii) Substitute equ (iii) in equ (ii) S=(u + at + u/2)t =(2u + at/2)t =(2ut + at^2/2) =2ut/2 + at^2/2 :. S=ut + 1/2 at^2
(1ci) (view image above) (i) x=utAB + 1/2 at^2AB and x=(40 + 80/2)tAB =(120/2)tAB x=60tAB but a=40 – 80 / tAB a= -40/tAB :. x=80tAB – 1/2 x 40/tAB x (tAB)^2 x=80tAB – 20tAB =60tAB
FOR BC 100=(40 + 0/2)tBC 100=20tBC :. tBC=100/20 tBC=5m/s
100 + x = (80 + 0/2)(tAB + tBC) 100 + x =40(tAB + 5) 100 + x = 40(x/60 + 5/1) 100 + x = 40x/60 + 200/1 collect like terms x – 40x/60 = 200 – 100 60x – 40x/60 = 100 Cros multiply 60x – 40x = 60 x 100 20x = 6000 x=6000/20 x=300m
(1cii) tAB=x/60 tAB=300/60 tAB=5sec
(1ciii) tAC=tAB + tBC tAC=5 + 5 tAC=10sec
(2a) Boiling point is the temperature at which the vapour pressure is equal to the atmospheric pressure.
Procedures to determine boiling point (i) Take about 25ml of distilled water in a boiling tube and add 2 – 3 small pieces pumice stone. (ii) Close the mouth of the boiling tube with a rubber cork that has two bores and clamp it with the stand. (iii) Introduce a thermometer(temperature range -10 to 110C) in one bore of the cork of the boiling tube, keep the tulb if the thermometer about 3-5cm above the surface of the water. (iv) Then introduce one end of a delivery tube in the second bore of the cork. (v) Place a 250ml beaker below the second end of the delivery tube to collect a condensed water. (vi) Heat the boiling tube gently, preferably by rotating the flame. (vii) Note the temperature(t1) when the water starts boiling. (viii) Continue to heat the water till the temperature becomes constant and the water remains boiling. Note the constant temperature (t2). (ix) Record the observation.
(2c) Mc=300g =0.3kg tc=950C tw=25C t=100C Mw=250g =0.25kg Heat loss by copper = heat gained by water McCc(Tc – t) = MwCw(t – tw) + ml 0.3 x 4 x 10^2(950 – 100) = 0.25 x 4.2 x 10^3 (100 -25) + 2.26 x 10^6m 102000=78750 + 2.26 x 10^6m 2.26 x 10^6m=102000 – 78750 2.26 x 10^6m=23250 Divide both sides by 2.26 x 10^6 m=23250/2.26 x 10^6 m=0.0103kg m=10.3g
Effect of Heat (i) change in state. (ii) Increase in temperature. (iii) Chemical action (iv) Change in physical properties
(3ai) Resonance means the production of forced vibration of maximum amplitude of a vibrating body.
(3aii) Two identical turning forks and sounding boxes are placed next to one another. Striking one turning fork will cause the other to resonate at the same frequency. when a weight is attached to one turning fork. They are no longer identical. Thus, one will not cause the other to resonate, when two different turning forks are struck at the same time, the interference of their particles produce beats.
(3aiii) The sound is louder when a struck turning fork is held against a table because the surface of the table is set into vibration. Thus, the result in more air molecules vibrating which moves the sound louder.
(3bi) CLICK HERE FOR THE IMAGE
(3bii) CLICK HERE FOR THE IMAGE
(4a) CLICK HERE FOR THE IMAGE ========================== (4b) (i) Eddy current:- Reduced by leminating the core (ii) Hysteresis loss:- Reduced by using a low loss nickel iron alloys in the core. (iii) I^2R or Heat loss:- Reduced by using thick wires.
(4ci) Vp=4400v Ps=600w Vs=220v
k=Ip/Is =Vs/Vp =Ns/Np :. Ns/Np=220/4400 =1:20
(4cii) 95%=Ps/Pp x 100% 95%=60/Ip x 4400 x 100% Ip=60 x 100/95 x 4400 Ip=0.014A.
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