Two capacitors with capacitances of 1.5 mF and 0.25 mF, respectively, are connected in parallel. The system is connected to a 100-V battery. What electrical potential energy is stored in the 1.5-mF capacitor?
a. 1.2 10-3 J
c. 0.50 10-3 J
b. 1.9 10-3 J
d. 7.5 10-3 J
[Ques. 2] A bowling ball has a mass of 7.0 kg, a moment of inertia of 2.8 10-2 kgm2, and a radius of 0.10 m. If it rolls down the lane without slipping at a linear speed of 5.0 m/s, what is its angular speed?
a. 0.80 rad/s
c. 0.050 rad/s
b. 50 rad/s
d. 40 rad/s
[Ques. 3] A 0.50-mF capacitor is connected to a 400-V battery. What potential energy is stored in the capacitor?
a. 0.020 J
c. 1.0 10-4 J
b. 0.040 J
d. 1.2 10-12 J
[Ques. 4] The Earth moves about the Sun in an elliptical orbit. As the Earth moves closer to the Sun, which of the following best describes the Earth-Sun system's moment of inertia?
a. decreases
c. remains constant
b. increases
d. None of the above choices are valid.
[Ques. 5] A 6.0-mF capacitor is attached to a 20-V power supply. How much energy is stored in the capacitor?
a. 2.0 10-3 J
c. 2.0 10-4 J
b. 5.2 10-4 J
d. 1.2 10-3 J
[Ques. 6] A 4.0-kg mass is placed at (3.0, 4.0) m, and a 7.0 kg-mass is placed at (3.0, -4.0) m. What is the moment of inertia of this system of masses about the z axis?
a. 275 kgm2
c. 250 kgm2
b. 90 kgm2
d. 180 kgm2
[Ques. 7] Using a 1-mF capacitor, a 2-mF capacitor, and a 3-mF capacitor, which of the following capacitances cannot be made by a combination that uses all three? (Hint: At most only 2 combinations must be considered to determine the correct answer.)
a. 6/11 mF
c. 11/3 mF
b. 6 mF
d. 7 mF
[Ques. 8] A 4.0-kg mass is placed at (3.0, 4.0) m, and a 7.0-kg mass is placed at (3.0, -4.0) m. What is the moment of inertia of this system of masses about the y axis?
a. 275 kgm2
c. 176 kgm2
b. 90 kgm2
d. 99 kgm2
[Ques. 9] Four identical 4-mF capacitors are connected together electrically. What is the greatest possible capacitance of the combination?
a. 16 mF
c. 4 mF
b. 8 mF
d. 1 mF
[Ques. 10] A 4.0-kg mass is placed at (3.0, 4.0) m, and a 7.0-kg mass is placed at (3.0, -4.0) m. What is the moment of inertia of this system of masses about the x axis?
a. 275 kgm2
c. 176 kgm2
b. 90 kgm2
d. 99 kgm2
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