1. Vectors have direction but scalar does not have.
acceleration is the rate of change of velocity.
c) Pythagoras theorem = c2= a2+b2. To find change in velocity = 25.5 sm-1
ii) acc= change in vel / time taken = 5.8 ms-1
iii) Arrow pointing to the centre of circle
iv) force perpendicular to direction of motion. No work done by this force and hence no change in ke.
2. vertical component = 5.94 ms-1
b) av force =( change in m v /t) = 24.1 N .Direction : leftwards.
c) inelastic as ke is lost.
d) the time taken to fall to the ground is the same but the horizontal comp is reduced and hence the range is smaller/nearer to the wall.
3. The mass is not uniformly distributed. More mass on the leftside.
b) Net force = 0
net moment about any point =0
c) T1 = 59380 N, T2 = 5630 N
4. diffraction: Light waves spread out after passing through each slit of the grating.
coherence : Light waves passing through each slit have a constant phase difference.
superposition: When the two waves from each slits meet , the resultant displacement is the sum of their individual displacement at that point. The displacement is eletric field.
bi) 40.5 deg
bii) 31.7 deg
iii) Part of 2nd order overlap with the 3rd order.
5.a) F= 57.5 N
The shaded area represent the work done in bringing p1 from infinity to a point 2 x 10-15 away from p2.
c) When fusion occurs, nuclear energy (binding energy) released due to loss in mass of both particle is converted to ke of the product particle.
6 a) The change in flux linkage = NBA = 0.019 Wb
b) There is change in flux , by Faradays law there is an induced current in the coil.
ii) the emf = 0.019 / 2.0 = 4.75 mV
7. USe the values of P1 and V1 to compare with P2 V2 . Subs values to show that T2 is greater than T1.
b) If the graph is linear , the equation is valid , the gradient = & and the lg c is the intercept.
ci) 5.41
cii) & =1.45
c = 12.3 Pa -4.35
d) T= 520 K
e ) The inital temp is greater than the surrounding temp. If it expands rapidly , change in Q = 0 . Big fie 7.4 the temp decreases rapidly.
