1)An object projected at 127m/s upward from a small moon reaches a height of 5.03 km. If the radius of the moon is 1820km, calculate its mass.
KE=increase in GPE
1/2mv^2=GMm(1/r1-1/r2)
m cancels to gicve 1/2v^2=GM(1/r1-1/r2)
1/2*127^2=6.67*10^-11*M*(1/(1820000)-1/(182000+5030))=M*1.01*10^-19
M=8064.5/1.01*10^-19 =7.98*10^22 kg