Answer to Question #121141 in Classical Mechanics for Lizwi

Question #121141
Does a planet that has a greater mass than Earth necessarily have a greater acceleration due to gravity near its surface? (Saturn, for example, has about a hundred times the mass of Earth.)
1 : Yes
2 : No
3 : More information is needed to say
1
Expert's answer
2020-06-12T11:18:22-0400

No.

Reason:

According to newton's law of gravitation

FG=GMpmr2    agravity=FGm=GMpr2F_G=G\frac{M_pm}{r^2}\\ \implies a_{gravity}=\frac{F_G}{m}=G\frac{M_p}{r^2}\\

where, MpM_p is mass of planet and rr is distance between planet's center to particle of mass m lies on it's surface.

Thus , If a planet has lower density than earth i.e mass is higher and rr is also very higher compared to earth's radius ,then above statement is not true.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment