A satellite is in a circular orbit about the Earth at an altitude at which air resistance is negligible. Which of the following statements is true?
a. There is only one force acting on the satellite.
b. There are two forces acting on the satellite, and their resultant is zero.
c. There are two forces acting on the satellite, and their resultant is not zero.
d. There are three forces acting on the satellite.
e. None of the preceding statements are correct.
[Ques. 2] What is the magnitude of the free-fall acceleration at a point that is a distance 2R above the surface of the Earth, where R is the radius of the Earth?
a. 4.8 m/s2
b. 1.1 m/s2
c. 3.3 m/s2
d. 2.5 m/s2
e. 6.5 m/s2
[Ques. 3] Two stars of masses M and 6M are separated by a distance D. Determine the distance (measured from M) to a point at which the net gravitational force on a third mass would be zero.
a. 0.41 D
b. 0.33 D
c. 0.37 D
d. 0.29 D
e. 0.14 D
[Ques. 4] A 50-kg satellite circles planet Cruton every 5.6 h in an orbit with a radius of 12 106 m. What is the magnitude of the gravitational force on the satellite by planet Cruton?
a. 63 N
b. 58 N
c. 68 N
d. 73 N
e. 50 N
[Ques. 5] The period of a satellite circling planet Nutron is observed to be 84 s when it is in a circular orbit with a radius of 8.0 106 m. What is the mass of planet Nutron?
a. 6.2 1028 kg
b. 5.0 1028 kg
c. 5.5 1028 kg
d. 4.3 1028 kg
e. 3.7 1028 kg
[Ques. 6] A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 107 m. If the radius of Roton is 5.0 106 m, what is the magnitude of the free-fall acceleration on the surface of Roton?
a. 31 m/s2
b. 27 m/s2
c. 34 m/s2
d. 40 m/s2
e. 19 m/s2
[Ques. 7] A fountain sends a stream of water 20.0 m up into the air. If the base of the stream is 10.0 cm in diameter, what power is required to send the water to this height?
[Ques. 8] A natural gas pipeline with a diameter 0.250 m delivers 1.55 cubic meters of gas per second. What is the flow speed of the gas in the pipeline?
[Ques. 9] One hundred milliliters of water is poured into a U-tube that has a cross-sectional area of 1 cm2 . Then 100 milliliters of oil, with a density 80 that of water, is poured down one side of the U-tube so that the oil floats on the water. Find the difference in height of the liquid surfaces on the two sides of the U-tube.
[Ques. 10] A boat is floating in a small pond. The boat then sinks resting on the bottom, but the pond is so shallow that part of the boat is not submerged. What happens to the level of the pond?
a. It increases.
b. It decreases.
c. It stays the same.
d. In some cases it would decrease, in others it would stay the same.
e. In some cases it would increase, in others it would stay the same.
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