A cube of water ice (? = 0.917 × 10^3 kg/m3) is placed in mercury (? = 13.6 × 10^3 kg/m3), which is liquid at 0° Celsius. If we ignore any possible melting of the ice cube and problems with the surface tension of mercury, the fraction of the ice cube that floats above the surface of the mercury is
a. 0.067 4.
b. 0.073 5.
c. 0.926.
d. 0.933.
e. 1.00.
d
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If a newly discovered planet has four times the mass of Earth, but it still has the same surface gravity as Earth, how big must this new planet be?
A. half the size of Earth B. the same size as Earth C. twice as large as Earth D. four times as large as Earth E. one fourth of the size of Earth
________ is the study of the universe, including its properties, structure, and evolution
Fill in the blank(s) with the appropriate word(s)
A vector is located in the x-y plane. The x- and y-components of this vector are 4.00 m and 3.00 m, respectively. Find the angle that this vector makes with the positive y-axis
A) 53.1° B) 36.9° C) 126.9° D) 22.4° E) 48.6°
Melanie says that when a diver enters an underwater cave of height h, the pressure on her is no greater than rWgh. Rosalind says that if the bottom of the cave is a distance H below the water surface, the pressure on the soles of the diver's feet can reach rWgH. Which one, if either, is correct? (The density of water is rW.)
a. Melanie, because the roof of the cave absorbs the water pressure from above. b. Melanie, because only the fluid directly above any volume of the fluid can contribute to the pressure on that volume. c. Rosalind, because a fluid exerts equal pressure in all directions at a given depth. d. Rosalind, because the pressure also depends on the density, rc, of the material above the cave roof, so that p = rcg(H - h) + rWgh. e. Melanie, because the pressure equals p = rWgH - rcg(H - h).