. Rank the work done by gravity in each of the following situations from greates
ID: 1304019 • Letter: #
Question
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Rank the work done by gravity in each of the following situations from greatest to least (I will draw the situations on the board). Most of these happen away from Earth, so I will give you the graviational field where they happen (Earth's gravational field is 9.8m/s2). Ignore relativistic effects and anything having to do with spagettification. A 1kg ball rolls 10m along the flat surface of a neutron star (gns = 2 times 1012m/s2). An neutrino (mass 7 times 10-36kg) does a complete orbit at a radius 6.35 times 109m around the supermassive black hole at the center of the Milky Way (gbh = 1.42 times 107m/s2). A lander lowers a probe (mass 1kg) 10cm on a comet (gc = 5.24 times 10-29m/s2). An astronaught (mass 150kg) jumps 1m high on the moon (gm = 1.62m/s2). A neutrino (mass 7 times 10-36kg) travels 1km away from a supernova core collapse (gsn = 1.33 times 1013m/s2). A hiker (mass 75kg) hikes up Hayden Butte (elevation gain 101m). (g = 9.8m/s2)Explanation / Answer
A) work done by gravity = mgh =1*2*10^12*10 = 2x10^13 J
B)
work done =0 as it completes one revolution
c)
mgh = 1*0.1*5.24x10^-29 = 0.524 x 10^-29 J
D)
Wa = 150*1*1.62 = 243 J
E)
mgh = 7x10^-36*10^3*1.33x10^13 = 9.31 x 10^-20 J
F)
Wh = 75*101*9.8 = 74235
Wa > Wf > Wd >We >Wc>Wb
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