Here are my answers, iv shortened the explanations and tried to make them as simple as possible to read:
1ai) 6.2t+4.1
1aii)11s
1aiii)6.2msE-1
1bi)Escape velocity greater than 3E8msE-1 => No light can escape planet, making it appear black
1bii) Minimum velovity required to escape a bodies gravitational field
1biii)Ek+Ep=0
0.5mvE2-GMm/r = 0
v=root(2GM/r)
1biv)Rearrange v=root(2GM/r) = 6.79E3M
1bv) V=4/3 pi rE3 = 1.28E12. And Density=Mass/Volume = 4.58E30/1.28E12 = 3.5E18kgmE-3
2ai) y=48(5.8)-12 = 266.4rpm
=>(266.4/60)x pi = 28radsE-1
2aii)Apply Same formula to find new angular velocity. Then use equations of angular motion to obtain -2.65radsE-2
2bi)I=1/3mlE2 = 2.12E-5
2bii) 6.47E-5
2c)-1.71E-4
2d) The ice causes cups to have a mass which has to be considered => a greater moment if inertia so when wind is recorded, it will not be accurate as the cups wont rotate at a angular velocity which is able to be compared to the wind speed.
3ai)y=2.1E-3 sin(207t)
3aii)0.43msE-1
3b)1.2E-3m
3ci)1.07E-8J
3cii) It Should have the kinetic energy at a maximum when displacement is zero and should be in the shape of a cos graph, cutting the x axis at points of maximum amplitude.
4ai) charge in centre, straight lines coming out of charge perpendicular to charge with arrows pointing away from charge
4aii) Charges are unequal and have different signs so E is in one direction at any point between the charges(to the right) and hence always has a non zero value
4aiii)0NCE-1
4b) The strong nuclear force is much greater than the electrostatic force, rendering the electrostatic force almost negligible in comparison.
4ci) Equate baryon numbers and charges to show that a proton consists of these quarks
4cii) 1 Down, 1 Anti up
5a) Use F-qvB and change the subject to find V using 3.2E-19 as the charge
5b) mg=QE use this and get 1.53E-7NC-1 (remember the mass is 5.02E-27)
5C) Answer = B simply use r=mv/qb and double radius since it is the diameter which is required.
5d) It will take a path with a smaller radius => it will strike the detector surface closer to S. And it will strike at the other side of S due to the fact that it is negatively charged.
6ai) current should be an increasing curve which levels off at 0.1A
6aii) Not enough voltage from battery alone.
6aiii) When the current rapidly decreases, the magnetic field through and around the inductor collapses, this induces a large emf. This emf is what causes the bulb to flash
6aiv) use P=I/T then use E=0.5LIE2 to get a value of 0.06H
6bi) To keep the voltage constant
6bii) Construct a current against frequency graph with the data
6biii) As frequency increases current decreases inverseley (im not sure about this one, i think my wording may be off)
6c) At high frequencies, the reactance of the capacitor is low and the reactance of the inductor is high, so at high frequencies, the capacitor allows current through, activating LS2. Opposite occurs for low frequencies.
7ai)1.06E-34
7aii)2E-24
7aiii)3.32E-10
7bi)Radius Increases
7Bii)Quantum
8a)0.21A
8b) when a force of one newton acts perpendicularly to one metre of wire carrying a current of one ampere.
8c)3.36E-7Nm-1
9ai) When a single beam is split into two beams, a reflected beam and a transmitted beam.
9aii)1.93E-4m ( im not sure what delta X is because i divided the fringe separations by 10, some people may have divided by 9, if so the answer will vary slightly, im not sure which is correct)
9aiii) 8.7%
9bi) The thickness of the soap film is a quarter wavelength of the light. so the light travels a total distance of a half wavelenth inside the soap film. It also undergoes a phase change of pi rads at x, when the reflected ray meets the incedent ray, they interfere destructively.
9bii) 1.16E-5
9biii)1.19E-5
10a) The incident waves reflect off of the plunger and undergo a phase change of pi rads, they interfere with the incident waves and form a stationary wave.
10b)a node is a point of minimum amplitude, an antonode is a point of maximum amplitude
10c) They collect at nodes since the oscillations of the antinodes will vibrate(almost push) the beads out of the way to fill the spaces which are the nodes.
10d)332ms-1
Now, these are my official answers, some of them may be wrong, please correct me if im wrong lol.