The asteroid Ceres has a mass of 6.769*10^20 kg and a radius of 478.3 km.
a.) What is g on the surface? The value of gravitational constant is 6.67259*10^-11.
b.) How mush would an 85.4 kg astronaut weigh on this asteroid? (in units of N)
2007-11-28 15:46:07 · 2 answers · asked by ? 2 in Science & Mathematics ➔ Physics
**typo**..
b.)How *much*
2007-11-28 15:46:59 · update #1
Newton's Law of Gravity is
F = G m1 m2 / r^2
Newton's Second law is
F = m1 a
So the acceleration is
G m2 / r^2
Plug in the Newton gravity constant for G, the mass of Ceres for m2, and the radius of Ceres for r to get the answer for (a). Then for (b) multiply that answer by the mass of the astronaut to get the weight in Newtons.
2007-11-28 15:51:31 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋
F=GM1M2/R^2
G is gravitational constant
M1 is mass of asteroid .
M2 is the mass
R is thier distance .
The force between mass and asteroid is the weight of the mass.
a) Force = weight .
M2Xg=GM1M2/R^2
g=GM2/R^2
=(6.67*10^-11)(6.769*10^20 )/(478.3*10^3)^2
=0.197 N/kg.
b) Weight = mass X g
=85.4 X 0.197
=16.9 Kg.
2007-11-28 23:57:34 · answer #2 · answered by Murtaza 6 · 1⤊ 0⤋