A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50 m/s
when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.00 m up the ramp, measured along the surface of the ramp?
A) 4.01 m/s
B) 8.02 m/s
C) 1.91 m/s
D) 2.16 m/s
E) 3.53 m/s
E
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Suppose the amount of fish caught worldwide, assumed to be a small proportion of the total fish population, grows at an annual rate of 3%. About how long will it take for the fish catch to double?
a. 10 yr b. 13 yr c. 18 yr d. 23 yr e. 33 yr
Which planets have a rocky, relatively dense composition?
a. Jupiter, Saturn, Earth, and Mars b. Uranus, Neptune, Earth, and Mars c. Jupiter, Saturn, Uranus, and Neptune d. Mercury, Venus, Earth, and Mars
When helium capture occurs with a carbon 12 nucleus, what results?
A) nitrogen 14 B) oxygen 16 C) neon 20 D) silicon 28 E) nickel 56
How are rotation curves of spiral galaxies determined for distances beyond where starlight can be detected?
A) by measuring the broadening of the galaxy's absorption lines B) by extrapolation of the measured rotation curve C) by observations of spectral lines emitted by dark matter D) by watching the galaxies rotate over a period of decades E) by observations of the 21 cm line of atomic hydrogen