Physic Labs

Asian Physics Olympiad · Year 2003

Problems

  1. Problem 1A cart of mass m1=1 kgm_1=1\,\mathrm{kg} moving at 6 m/s6\,\mathrm{m/s} sticks to a stationary cart of mass m2=2 kgm_2=2\,\mathrm{kg}. They move on a horizontal track with kinetic friction coefficient μ=0.10\mu=0.10. Find the speed just after collision and the stopping distance; take g=10 m/s2g=10\,\mathrm{m/s^2}. Treat the stated idealizations as exact: objects may be treated as point-like or uniform where appropriate, and any external effect not specified is neglected. (a) Establish the governing physical relation and state the sign convention and boundary conditions. (b) Evaluate the requested quantities from the supplied data with consistent units. (c) Check dimensions and explain the physical meaning of the resulting sign or limiting case.Solutions: 1
  2. Problem 2A circular coil of N=100N=100 turns, each of area A=0.010 m2A=0.010\,\mathrm{m^2}, is perpendicular to a uniform magnetic field. The field decreases linearly from 0.50 T0.50\,\mathrm T to 0.10 T0.10\,\mathrm T in 0.20 s0.20\,\mathrm s. Find the average induced emf and charge through a closed circuit of resistance R=2.0 ΩR=2.0\,\Omega. Treat the stated idealizations as exact: objects may be treated as point-like or uniform where appropriate, and any external effect not specified is neglected. (a) Establish the governing physical relation and state the sign convention and boundary conditions. (b) Evaluate the requested quantities from the supplied data with consistent units. (c) Check dimensions and explain the physical meaning of the resulting sign or limiting case.Solutions: 1
  3. Problem 3Young's double slits are separated by d=0.50 mmd=0.50\,\mathrm{mm} and illuminated with monochromatic light of wavelength λ=600 nm\lambda=600\,\mathrm{nm}. A screen is D=2.0 mD=2.0\,\mathrm m away. Find the fringe spacing and the position of the third bright fringe from the center. Treat the stated idealizations as exact: objects may be treated as point-like or uniform where appropriate, and any external effect not specified is neglected. (a) Establish the governing physical relation and state the sign convention and boundary conditions. (b) Evaluate the requested quantities from the supplied data with consistent units. (c) Check dimensions and explain the physical meaning of the resulting sign or limiting case.Solutions: 1