1Measurements and Units
Question 1: Measurements and Units
The density of aluminium is 2.7 g/cm3. What is this density in kg/m3?
1 g = 10−3 kg and 1 cm3 = 10−6 m3, so 1 g/cm3 = 10−310−6 = 1000 kg/m3. Hence 2.7 g/cm3 = 2700 kg/m3.
Free mock quiz · Humanitas Physics
Humanitas Physics Mock Quiz 2
Ten exam-style questions covering every topic of the Humanitas physics syllabus. Every question you master brings you one step closer to your place at medical school in Milan.
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Free mock quiz – not an official test. This is a free practice (mock) quiz written according to the official Humanitas physics syllabus. It is not an official Humanitas test and is not produced or endorsed by Humanitas University.
Measurements and UnitsKinematicsHarmonic Motion and WavesForces and Circular MotionWork, Energy and PowerFluid MechanicsOpticsThermodynamicsElectrostatics and CircuitsMagnetism, Induction and AC
Choose one answer for each question. You will see straight away whether you are right, with a short worked solution. Treat it like exam day: no notes, and a calculator only if your exam allows one.
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2Kinematics
Question 2: Kinematics
A stone is thrown horizontally at 6.0 m/s from the top of a cliff 20 m high. Ignoring air resistance, how far from the foot of the cliff does it land? (g = 10 m/s2)
Vertically it falls from rest: 20 = 12 × 10 × t2, so t = 2.0 s. Horizontally the speed stays 6.0 m/s: distance = 6.0 × 2.0 = 12 m.
3Harmonic Motion and Waves
Question 3: Harmonic Motion and Waves
A simple pendulum of length 1.0 m has a period of about 2.0 s. What is the period of a pendulum of length 4.0 m at the same place?
T = 2π, so T ∝ . Four times the length gives = 2 times the period: 4.0 s. The mass of the bob does not matter.
4Forces and Circular Motion
Question 4: Forces and Circular Motion
A 0.20 kg ball on a string moves in a horizontal circle of radius 0.50 m at a constant speed of 3.0 m/s. Ignoring gravity, what is the tension in the string?
The tension provides the centripetal force: T = mv2r = 0.20 × 3.020.50 = 3.6 N.
5Work, Energy and Power
Question 5: Work, Energy and Power
A 60 kg student runs up a staircase, rising 4.0 m in 8.0 s. What is the average power used to gain gravitational potential energy? (g = 10 m/s2)
Energy gained = mgh = 60 × 10 × 4.0 = 2400 J. Power = energytime = 24008.0 = 300 W.
6Fluid Mechanics
Question 6: Fluid Mechanics
What is the total (absolute) pressure at a depth of 5.0 m in a lake? (density of water = 1000 kg/m3, atmospheric pressure = 1.0 × 105 Pa, g = 10 m/s2)
Stevin's law: p = p0 + ρgh = 1.0 × 105 + 1000 × 10 × 5.0 = 1.0 × 105 + 0.5 × 105 = 1.5 × 105 Pa.
7Optics
Question 7: Optics
An object is placed 30 cm from a thin converging lens of focal length 10 cm. How far from the lens is the image formed?
Lens equation: 1f = 1u + 1v, so 1v = 110 − 130 = 230 and v = 15 cm (a real, inverted, smaller image on the other side of the lens).
8Thermodynamics
Question 8: Thermodynamics
A fixed mass of ideal gas is kept at constant volume and heated from 27 °C to 327 °C. What happens to its pressure?
At constant volume p ∝ T, with T in kelvin: 27 °C = 300 K and 327 °C = 600 K. The temperature doubles, so the pressure doubles. (Using °C would wrongly give about 12.)
9Electrostatics and Circuits
Question 9: Electrostatics and Circuits
A 20 μF capacitor is charged to a potential difference of 50 V. What charge is stored on it?
Q = CV = 20 × 10−6 × 50 = 1.0 × 10−3 C = 1.0 mC.
10Magnetism, Induction and AC
Question 10: Magnetism, Induction and AC
An ideal transformer has 1000 turns on the primary coil and 50 turns on the secondary coil. The primary is connected to a 230 V AC supply. What is the secondary voltage?
VsVp = NsNp, so Vs = 230 × 501000 = 11.5 V (a step-down transformer).
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All questions are original practice questions written by Christos Fotakidis following the published Humanitas syllabus. They are not official Humanitas questions, they are not taken from any past paper, and this page is not affiliated with Humanitas University.