Paper 3 Data Hunt
Paper 3 is "easily fraudable" once you spot the pattern: either every value you need is already given, or you're expected to know the missing equation from the formula booklet. For each scenario, sort the cards into the right category.
Satellite in Circular Orbit
A satellite moves in a circular orbit of radius $7.0\times10^{6}\ \text{m}$ around the Earth (mass $M=5.97\times10^{24}\ \text{kg}$, $G=6.67\times10^{-11}\ \text{N m}^2\text{kg}^{-2}$). Find the satellite’s orbital speed.
Tap a card below, then tap the category it belongs to.
Orbital radius r = 7.0×10⁶ m
Earth's mass M = 5.97×10²⁴ kg
G = 6.67×10⁻¹¹ N m² kg⁻²
F = GMm/r² — Newton's law of gravitation
F = mv²/r — centripetal force
T = 2π√(l/g) — simple pendulum period
Discharging Capacitor
A $470\ \mu\text{F}$ capacitor charged to $6.0\ \text{V}$ discharges through a $22\ \text{k}\Omega$ resistor. Find the voltage remaining after $5.0\ \text{s}$.
Tap a card below, then tap the category it belongs to.
Capacitance C = 470 μF
Resistance R = 22 kΩ
Initial voltage V₀ = 6.0 V
Time t = 5.0 s
V = V₀e^(-t/RC) — exponential decay of voltage
Q = CV — charge stored, not asked for here
Oscillating Mass on a Spring
A mass on a spring oscillates with amplitude $0.050\ \text{m}$ and angular frequency $4.0\ \text{rad s}^{-1}$. Find the speed of the mass when its displacement is $0.030\ \text{m}$.
Tap a card below, then tap the category it belongs to.
Amplitude A = 0.050 m
Angular frequency ω = 4.0 rad s⁻¹
Displacement x = 0.030 m
v = ±ω√(A²-x²) — SHM speed-displacement equation
x = Acos(ωt) — needs a time value, which isn’t given
T = 2π√(m/k) — period of a mass-spring system, not asked for