Toelatingsexamen Arts & Tandarts België (Medical & Dental Entrance Exam) · Physics and Mathematics

Classical Mechanics, Fluids, Thermodynamics, and Waves

35 practice questions, each with the answer and an explanation.

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All 35 questions

  1. A car accelerates uniformly from rest to a speed of 20 m/s over a distance of 100 m on a straight road. What is the acceleration of the car?
  2. A projectile is launched from ground level with an initial velocity of 40 m/s at an angle of 30° above the horizontal. Assuming g = 10 m/s^2 and neglecting air resistance, what is the maximum height r…
  3. A 5.0 kg crate is pushed across a horizontal floor by a constant horizontal force of 30 N. If the coefficient of kinetic friction between the crate and the floor is 0.20 and g = 10 m/s^2, what is the…
  4. A spring with a force constant k = 200 N/m is compressed by 0.10 m from its equilibrium length. How much elastic potential energy is stored in the compressed spring?
  5. A 2.0 kg block is released from rest from a height of 20 m on a frictionless curved ramp. Taking g = 10 m/s^2, what is the speed of the block at the bottom of the ramp?
  6. An electric motor lifts a 100 kg elevator cab vertically upward at a constant speed of 2.0 m/s. Taking g = 10 m/s^2, what mechanical power does the motor deliver?
  7. A tennis ball of mass 0.050 kg traveling horizontally at 20 m/s strikes a racket and rebounds horizontally in the opposite direction at 20 m/s. If the ball is in contact with the racket for 0.010 s, w…
  8. A railway car of mass 2,000 kg moving at 3.0 m/s collides with and couples to a stationary car of mass 1,000 kg. What is the common velocity of the coupled cars immediately after this completely inela…
  9. A 0.50 kg stone attached to the end of a 1.0 m string rotates in a horizontal circle at a constant speed of 4.0 m/s. What is the centripetal force acting on the stone?
  10. If the distance between two spherical masses in space is doubled, how does the gravitational attractive force between them change according to Newton's law of universal gravitation?
  11. A diver descends to a depth of 20 m in fresh water (density = 1,000 kg/m^3). Taking atmospheric pressure P0 = 1.0 x 10^5 Pa and g = 10 m/s^2, what is the absolute hydrostatic pressure experienced by t…
  12. In a hydraulic lift, the smaller piston has an area of 10 cm^2 and the larger piston has an area of 500 cm^2. If a downward force of 100 N is applied to the small piston, what upward load can the larg…
  13. An object of volume 0.0020 m^3 is completely submerged in water (density = 1,000 kg/m^3). Taking g = 10 m/s^2, what is the buoyant force exerted by the water on the object?
  14. Blood flows through a major artery of cross-sectional area 2.0 cm^2 at an average velocity of 20 cm/s. The artery branches into two identical arterioles, each having a cross-sectional area of 0.50 cm^…
  15. According to Poiseuille's law for laminar flow through a cylindrical vessel (Q = pi ΔP r^4 / (8 eta L)), if vasoconstriction reduces the radius of an arteriole by 50% (r becomes r/2) while per…
  16. How much heat energy is required to raise the temperature of 2.0 kg of liquid water from 20 °C to 50 °C, given the specific heat capacity of water c = 4,184 J/(kg·K)?
  17. During an isothermal expansion of an ideal gas, the gas performs 500 J of work on its surroundings. What is the change in internal energy (ΔU) of the gas and the heat (Q) absorbed?
  18. A Carnot heat engine operates between a hot thermal reservoir at 600 K and a cold reservoir at 300 K. What is the theoretical maximum thermal efficiency of this engine?
  19. A mass-spring oscillator consists of a 0.25 kg mass attached to an ideal spring with force constant k = 100 N/m. What is the period of oscillation T?
  20. A sound wave in air has a frequency of 680 Hz. If the speed of sound in air is 340 m/s, what is the wavelength of this sound wave?
  21. If the sound intensity is increased by a factor of 100, what is the increase in the sound intensity level in decibels (dB)?
  22. An ambulance siren emits a steady sound at 1,000 Hz. The ambulance approaches a stationary observer at a speed of 34 m/s. Given the speed of sound in air is 340 m/s, what frequency is heard by the obs…
  23. Two point charges of +2.0 microcoulombs and +8.0 microcoulombs are placed 0.30 m apart in a vacuum. Given Coulomb's constant k = 9.0 x 10^9 N·m^2/C^2, what is the magnitude of the electrostatic repuls…
  24. What is the equivalent resistance of three resistors with values of 2.0 ohms, 3.0 ohms, and 6.0 ohms connected in parallel across an ideal voltage source?
  25. A current of 2.0 A flows through an electrical heating element with a resistance of 10 ohms for 30 seconds. How much thermal energy is dissipated by the element via Joule heating?
  26. A parallel-plate capacitor with air between its plates has capacitance C0. If a dielectric slab with dielectric constant kappa = 4.0 is inserted to completely fill the space between the plates, what i…
  27. A proton (charge q = +1.6 x 10^-19 C) enters a uniform magnetic field of 0.50 T at a velocity of 2.0 x 10^6 m/s perpendicular to the field lines. What is the magnitude of the magnetic Lorentz force ac…
  28. A light ray in water (index of refraction n1 = 1.33) strikes a flat water-air interface (n2 = 1.00). What is the critical angle theta_c for total internal reflection to occur?
  29. An object is placed 30 cm in front of a thin converging lens with a focal length of 10 cm. At what distance behind the lens is the real image formed?
  30. A radioactive isotope has a half-life of 8.0 days. If a sample initially has an activity of 640 Bq, what will its activity be after 24 days?
  31. What happens to the mass number (A) and atomic number (Z) of a nucleus during beta-minus (β-) radioactive decay?
  32. What is the de Broglie wavelength of an electron (mass m = 9.1 x 10^-31 kg) traveling at a non-relativistic velocity of 2.0 x 10^6 m/s, given Planck's constant h = 6.63 x 10^-34 J·s?
  33. An uncharged conductor is placed in an external uniform electric field. What is the value of the electrostatic field inside the bulk of the conductor at electrostatic equilibrium?
  34. What is the optical power of a thin corrective eyeglass lens with a focal length of -50 cm (-0.50 m)?
  35. In a nuclear reaction, 1.0 x 10^-6 kg (1.0 mg) of mass is completely converted into energy. Using Einstein's mass-energy equivalence equation (E = m * c^2) with c = 3.0 x 10^8 m/s, how much energy is…

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