A spaceship of mass m circles a planet (mass = M) in an orbit of radius R. How much energy is required to transfer the spaceship to a circular orbit of radius 3R?
a. GmM/(2R)
b. GmM/(3R)
c. GmM/(4R)
d. GmM/(6R)
e. 3GmM/(4R)
B
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A 2500 kg car accelerates up to a velocity of 30.0 m/s in 8.00 seconds. The work done by the engine to accelerate the car is
A. 
B. 
C. 
D. 
E. 
How have astronomers interpreted the unexpectedly fast rotation of galaxies?
A.) Scientific measurements must be wrong. B.) Galaxies may be breaking up. C.) There must be a lot of dark matter whose gravity can be felt but not seen. D.) These galaxies must have had collisions. E.) B, C, and D.
Perhaps the greatest of the Greek astronomers, ________ compiled the first catalog of stars, accurately measured their positions, and defined the basic system of stellar brightnesses
A) Erastothenes B) Aristotle C) Ptolemy D) Hipparchus E) Aristarchus
A pendulum bob on the end of a 1 m long piece of string is pulled 2 cm from its equilibrium position and it is released. In one full cycle of its motion, through what total distance does it travel?
1.2 cm 2.1/2 cm 3.4 cm 4.8 cm