By definition, the weight of a human being on earth is given by the following expression:
f = m * g
Where,
m = mass
g = gravity.
On the other hand, gravity is also defined as:
g = G * M / R ^ 2
Where,
M: Mass of the earth.
G: gravitational constant.
R: Earth radio.
Taking these definitions into account then:
For Ceres:
gc = G * Mc / (Rc) ^ 2
Where,
Mc = 0.0002 M
Rc = 0.073R
Rewriting:
gc = G * (0.0002 M) / (0.073R ^ 2)
gc = (0.0002 / 0.073 ^ 2) * (G * M / R ^ 2)
gc = 0.0375g
Then, the weight will be
fc = m * gc.
fc = m * (0.0375) * g.
(0.0375) * m * g
(0.0375) * (72) * (2.2) = 5.94lb
answer:
a 72 kg astronaut weigh on ceres in pounds is 5.94lb
