Angular Momentum: NASA puts a satellite into space that consists of two small 32-kg balls connected by a 12-m long light cable, as shown in the figure. The entire system is initially rotating at 4.0 rpm about an axis perpendicular to the cable at the center of mass. Motors in each mass reel out more cable so that the masses double their separation to 24 m.(a) What is the final rotational speed (in rpm) of the balls?(b) If the initial rotational kinetic energy of the system was K, what is the final rotational kinetic energy in terms of K?
Fill in the blank(s) with the appropriate word(s).
(a) 1.0 rpm (b) K/4
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In the metric mks system of units, the letter s stands for ______________
Fill in the blank(s) with correct word
A satellite that is in a circular orbit 230 km above the surface of the planet Zeeman-474 has an orbital period of 89 min. The radius of Zeeman-474 is 6.38 × 106 m. What is the mass of this planet? (G = 6.67 × 10-11 N ? m2/kg2 )
A) 6.0 × 1024 kg B) 5.5 × 1024 kg C) 5.0 × 1024 kg D) 6.5 × 1024 kg
Which of the following are the two key starting assumptions of theoretical models of galaxy evolution?
A) (1) The beginning of the universe can be modeled as a giant supernova explosion and (2) this supernova created all the elements in the proportions we find them today. B) (1) Hydrogen and helium gas, along with dark matter, filled all of space and (2) some regions of the universe were slightly denser than others. C) (1) Hydrogen and helium gas, along with dark matter, filled all of space and (2) the distribution of this material was perfectly uniform everywhere. D) (1) Hydrogen gas, along with dark matter, filled all of space and (2) all the other elements came from stars.
Determine the equivalent capacitance of the combination shown when C = 12 pF.
A. 48 pF B. 12 pF C. 24 pF D. 6.0 pF E. 59 pF