Force on planet =
weight on planet =
G m Mplanet/Rplanet^2
Force on earth =
weight on earth =
G m Mearth/Rearth^2
so
weight on planet/weight on earth =
Mplanet/Rplanet^2
------------------
Mearth/Rearth^2
I think you can take it from there since Mplanet/ Mearth is given
and
Rplanet/Rearth is given
An astronaut weighs 696 N on the Earth. What is her weight on planet X, which has a radius Rx = Rearth 1.60 and a mass Mx = Mearth 8.60?
-the only equation I know for weight is "w = m x g"...I don't know how to solve for w using force.
2 answers
F=W=mg
F=G m ME\ RE^2
Rx =1.60
Mx =8.60
=ME\RE^2
=8.60\1.60^2
= Change the numbers from up to down and from down to up.
=1.60^2\8.60= 0.30
The astronaut weighs 696 N on the earth.
The weight on the planet X = 0.30*696=208.8 N
F=G m ME\ RE^2
Rx =1.60
Mx =8.60
=ME\RE^2
=8.60\1.60^2
= Change the numbers from up to down and from down to up.
=1.60^2\8.60= 0.30
The astronaut weighs 696 N on the earth.
The weight on the planet X = 0.30*696=208.8 N
2 answers