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You and your friends are organizing a trip to Europe. Your plan is to rent a car and drive through the major European capitals. By consulting a map you estimate that you will cover a total distance of 5000 rm km. Consider the euro-dollar exchange rate given in the introduction and use dimensional analysis to work through these simple problems.
Part A
You select a rental package that includes a car with an average consumption of 6.00 rm liters of fuel per 100 rm km. Considering that in Europe the average fuel cost is 1.063 rm euros/ liter, how much (in US dollars) will you spend in fuel in your trip?
A coin rests 14.60 cm from the center of turntable. The coefficient of static friction between the coin and turntable surface is 0.350. The turntable starts from rest at t = 0 and rotates with the constant angular acceleration of 0.8400 rad/s2.
A 20.0 kg wood ball hangs from a 1.3 m long wire. The maximum tension the wire can withstand without breaking is 300 N. A 0.70 kg projectile travelling horizontally hits and embeds itself in the wood ball.
Find out the least compression of the spring
A computer is reading data from a rotating CD-ROM. At a point that is 0.030m from the center of the disk, centripetal acceleration is 120m/s2. What is the centripetal acceleration at a point that is 0.05 m from the center of disc.
A uniform steel beam has a mass of 1640 kg. On it is resting half of an identical beam. What is the vertical support force at each end.
A broad beam of light of wavelength 642 nm is incident at 90° on a thin, wedge-shaped film with the index of refraction 1.50. An observer intercepting light transmitted by the film sees 17 bright and 16 dark fringes along the length of the film. B..
A cubical block of wood 10cm on a side, floats at the interface between oil and water with its lower surface 1.50 cm below the surface
A parallel-plate air capacitor with a capacitance of 236 has a charge of magnitude 0.13 on each plate. The plates have a separation of 0.33.What is the potential difference between the plates.
What happens to support force on the workmens feet
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
The molecule has a rotational kinetic energy that is of the translational kinetic energy of its center of mass. What then is molecule's angular speed about the center of mass.
A small but measurable current of 1.2*10^-10 A exists in a copper wire whose diameter is 2.5mm compute the current density and the electron drift speed.
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