Find gravitation on Mard and the Earth

In summary, the acceleration due to gravity on Mars is 3.8 times smaller than the acceleration due to gravity on Earth, or 2.034 m/s2 in terms of g.
  • #1
DollarBill
44
0

Homework Statement


Mars Data:
Radius = .53 * Earth's Radius
Mass = .11 * Earth's Mass

Find the acceleration due to gravity on Mars in terms of g, the acceleration due to gravity on Earth.


Homework Equations


g=Gm / r2


The Attempt at a Solution


gm= G(.11 ME) / .53rE2

gE = GmE / rE2
9.8 m/s2= GmE / rE2

gM/gE

gM=[G(.11 ME) / r2] / [GmE / rE2] * 9.8

gM= .11/.53 * 9.8

gM=2.034 m/s2

I'm not sure if this is right though.
 
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  • #2
Hi DollarBill! :smile:
DollarBill said:
gm= G(.11 ME) / .53rE2.

Do you mean that, or have you written it wrong?
 
  • #3


tiny-tim said:
Hi DollarBill! :smile:


Do you mean that, or have you written it wrong?
Forgot the parenthesis...
gM= G(.11 ME) / (.53 rE)2.
 
  • #4


Ok now I see what I did. Forgot to square the .53 :blushing:

gM=3.8 m/s2
 

FAQ: Find gravitation on Mard and the Earth

How is the force of gravity different on Mars compared to Earth?

The force of gravity on Mars is approximately 38% of the force on Earth. This means that objects will weigh less on Mars than they do on Earth.

What is the gravitational constant on Mars?

The gravitational constant on Mars is 3.711 m/s², which is significantly lower than the gravitational constant on Earth (9.807 m/s²).

How does the mass of Mars affect its gravitational pull?

The mass of a planet directly affects its gravitational pull. Mars has a much smaller mass than Earth, which results in a weaker gravitational pull.

Is there a difference in gravitational acceleration on Mars and Earth?

Yes, there is a difference in gravitational acceleration on Mars and Earth. The gravitational acceleration on Mars is 3.711 m/s², while on Earth it is 9.807 m/s². This means that objects will fall faster on Earth than on Mars.

How does the distance between Mars and the Sun affect its gravity?

The distance between Mars and the Sun does not affect its gravity. The gravitational force between two objects is only affected by their masses and the distance between them. However, the distance between Mars and the Sun does affect its orbital speed, which in turn affects the strength of its gravitational pull on other objects.

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