When SI units are plugged into an equation, it is found that the units balance. Which of the following can we expect to be true for this equation?
a. The equation will be dimensionally correct.
b. The equation will be dimensionally correct except sometimes in cases when the right-hand side of the equation has more than one term.
c. The equation will not be dimensionally correct.
d. All constants of proportionality will be correct.
a
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The boom of a crane is 20 m long and is inclined 20° from the horizontal. A bucket of cement with a mass of 3000 kg is suspended from the upper end of the boom. What is the torque acting on the point where the boom is attached to the crane?
A) 5.5 × 105 N m B) 3.5 × 105 N m C) 4.5 × 105 N m D) 2.0 × 105 N m E) 2.0 × 104 N m
A sample of an ideal gas is in a fixed volume container at pressure P - by heating the gas, the average speed of molecules in the gas triples. What is the new pressure of the gas?
A. 3P B. P/9 C. depends on the number density of the gas D. P/3 E. 9P
Which of the following statements describes the ecliptic?
A. the extension of Earth's equator on the celestial sphere B. the apparent path of the Sun across the celestial sphere C. the path of the Moon on the celestial sphere D. the extension of Earth's path on the celestial sphere E. The extension of Earth's equator on the celestial sphere and the apparent path of the Sun across the celestial sphere are correct.
The index of refraction,n, is calculated as
A. the ratio of the speed of light in the material to that in a vacuum (n=v/c) B. the ratio of the speed of light in a vacuum to that in the material (n=c/v) C. the product of the speed of light in a vacuum to that in the material(n=vc) D. the square root of the speed of light in the material ?n? v?