The largest asteroid, ceres, has a radius 0.073 times the radius of earth and a mass of 0.0002 earth masses. how much would a 72 kg astronaut weigh on ceres in pounds?

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