Planet Zero has a mass of 5.0 × 10^23 kg and a radius of 2.0 × 10^6 m. A space probe is launched vertically from the surface of Zero with an initial speed of 4.0 km/s. What is the speed of the probe when it is 3.0 × 10^6 m from Zero's center?
a. 3.0 km/s
b. 2.2 km/s
c. 1.6 km/s
d. 3.7 km/s
e. 5.9 km/s
b
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A champion athlete can produce one horsepower (746 W) for a short period of time. If a 70-kg athlete were to bicycle to the summit of a 500-m high mountain while expending power at this rate, she would reach the summit in ____ seconds.
A. 1 B. 460 C. 500 D. 1000 E. 35,000
Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality
(a) a 20-µF capacitor with a 4-V potential difference between its plates (b) a 30-µF capacitor with charges of magnitude 90 µC on each plate (c) a capacitor with charges of magnitude 80 µC on its plates, differing by 2 V in potential, (d) a 10-µF capacitor storing energy 125 µJ (e) a capacitor storing energy 250 µJ with a 10-V potential difference
1.e > a > b > d > c 2.e > d > a > b > c 3.c > b > a > d > e 4.b > a = c > d = eStanding Sound Waves: An organ pipe closed at one end and open at the other end has two successive harmonics with frequencies of 2170 Hz and 2790 Hz. What is the fundamental frequency of the pipe?
Fill in the blank(s) with the appropriate word(s).
Gravitational _______________ can be used to detect dark matter
Fill in the blank(s) with correct word