when a man stands on a bathroom scale here on Earth, it reads 620N. Assume each
ID: 1417674 • Letter: W
Question
when a man stands on a bathroom scale here on Earth, it reads 620N. Assume each planet to be a perfect sphere with the following parameters. a) what would his mass be on Mars? b) what would his mass be on Venus? c) what would his be on Saturm? d) what is the magnitude of the gravitational force Mars would exert on the man if he stood on its surface? e) what is the magnitude of the gravitational force Venus would exert on the man if he stood on its surface? f) what is the magnitude of the gravitational force Saturn would exert on the man if he stood on its surface?
Explanation / Answer
Remember that weight of a person changes, but mass will be always same.
On earth weight = 620 N
F = m*g = 620 N
m = 620/9.81 = 63.2 kg
Mass on earth = 63.2 kg
A.
mass on mars = 63.2 kg
B.
mass on Venus = 63.2 kg
C.
mass on saturn = 63.2 kg
D.
Gravitational force = F = G*M*m/R^2
G = 6.67*10^-11
M = mass of planet
m = mass of man
R = radius of planet
D.
Mass of mars = 6.39*10^23
radius of mars = 3.39*10^6
F = 6.67*10^-11*6.39*10^23*63.2/(3.39*10^6)^2
F = 234.39 N
e.
Mass of venus = 4.87*10^24
radius of venus = 6.05*10^6
F = 6.67*10^-11*4.87*10^24*63.2/(6.05*10^6)^2
F = 560.86 N
f.
Mass of saturn = 5.68*10^26
radius of saturn = 5.82*10^7
F = 6.67*10^-11*5.68*10^26*63.2/(5.82*10^7)^2
F = 706.87 N
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