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Q. According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm3. If the crown's mass was 6.00 ´ 102 g, what volume of water would have been displaced if the crown was indeed made of pure gold?
Q. A child looks at his reflection in a spherical Christmas tree ornament 8.0 cm in diameter, and sees his image reduced by half. How far is his face from the ornament.
Suppose that a structure of arbitrary complexity has a number of forces applied to it (at various points) and yet is in static equilibrium. The principle of virtual work allows one to write an equation that relates the applied forces.
Two spheres are launched horizontally from a 1.10 {rm m} high table. Sphere A is launched with an initial speed of 5{rm m/s}. Sphere B is launched with an initial speed of 3.0 {rm m/s}.
The lines in a grating are uniformly spaced at 1520nm. Analyse the angular separation of the second order bright fringes between light of wavelength 603nm and 615.4 nm. Reply in units of mrad.
Two ocean liners, each with a mass of 38,000 metric tons, are moving on parallel courses, 92 m apart. What is the magnitude of the acceleration of one of the liners toward the other due to their mutual gravitational attraction? Treat the ships as par..
A converging lens of focal length 18 cm is 30 cm to the left of a diverging lens of focal length - 6 cm. a coin is placed 12 cm to the left of the converging lens. Find (a) location and (b) magnification of the coin's final image.
What is swimmer velocity relative to the bank
At the beginning of the interval the astronaut is moving toward the right along the x-axis at 15.40, and at the end of interval she is moving toward the right at 5.40.
A rocket is launched at an angle of 56.0° above the horizontal with the initial speed of 101 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s2. At this time, its engines fail and the rocket proceeds..
An electric scooter has a battery capable of supplying 140 Wh of energy. If friction forces and other losses account for 60 percent of the energy usage, what altitude change can a rider achieve while driving in hilly terrain, if the rider and scooter..
A 50.0kg pole vaulter running at 10.0m/s vaults over the bar. Assume that the vaulter's horizontal component of velocity over the bar is 1.0 m/s and disregarding air resistance, how high was the jump.
An open-open organ pipe is 67.9 cm long. AN open-closed pipe has an essential frequency equal to the third harmonic of the open-open pipe. How long is the open-closed pipe.
A ball on the porch rolls 60 {rm cm} to the porch's edge, drops 40 {rm cm}, continues rolling on the grass, and eventually stops 80 {rm cm} from the porch's edge.
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