Universal law of gravitation problem

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Homework Help Overview

The problem involves calculating the weight of a rover on Earth and Mars using the universal law of gravitation. It provides specific values for the mass and diameter of Mars relative to Earth, along with the gravitational acceleration on Earth.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to look up constants such as the mass of Earth and the gravitational constant G. There are attempts to understand the relationship between weight on Earth and Mars using ratios. Some participants express uncertainty about how to apply these ratios correctly.

Discussion Status

There is ongoing exploration of the problem, with some participants providing guidance on using the gravitational formula. Several interpretations of how to approach the calculations are being discussed, and some participants have shared their calculated weight on Earth, indicating progress in the discussion.

Contextual Notes

Participants mention the urgency of understanding the problem for an upcoming exam, which may influence their approach to finding solutions. There is a focus on understanding the implications of the mass and radius ratios between Earth and Mars.

darlingdarlin
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Homework Statement


Mars has a diameter of .54 times that of Earth and a mass of .11 times that of Earth. Suppose a rover was launched on Earth with the mass of 525 kg. Remember that g is -9.80 m/s/s
A) How much does the rover weigh on Earth?
B) How much does it weigh on Mars?

Homework Equations


F= G [(M1)(M2)]/ r^2

The Attempt at a Solution


i have no idea where to start
 
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I think you should look up the values for the mass of the Earth and radius of the Earth and the constant G. Then you should have some numbers to plug into your equation. Try doing that. Though given g=9.8m/s^2 you could shortcut that. But there's no reason not to do it directly.
 
Dick said:
I think you should look up the values for the mass of the Earth and radius of the Earth and the constant G. Then you should have some numbers to plug into your equation. Try doing that.

i'm trying to understand this problem for my exam tomorrow so i don't think finding those would actually help me...do you know how to do a ratio with it
i did it before but now i forgot how i did it correctly and i can't get the answers that i was supposed to get
 
darlingdarlin said:
i'm trying to understand this problem for my exam tomorrow so i don't think finding those would actually help me...do you know how to do a ratio with it
i did it before but now i forgot how i did it correctly and i can't get the answers that i was supposed to get

Ok, the first one should be easy. What does it weigh on earth?
 
Dick said:
Ok, the first one should be easy. What does it weigh on earth?

i got 5.15 x 10^3 N
 
darlingdarlin said:
i got 5.15 x 10^3 N

Ok. So F_earth= G [(M_earth)(M2)]/ (r_earth)^2=5145N. F_mars= G [(M_mars)(M2)]/ (r_mars)^2. M_mars=0.11*M_earth. r_mars=0.54*r_earth. How does that change the weight? Since M_mars is less than M_earth that decreases it by a factor. What factor? Since r_mars is less than r_earth that increases it by a factor. What factor?
 
dick said:
ok. So f_earth= g [(m_earth)(m2)]/ (r_earth)^2=5145n. F_mars= g [(m_mars)(m2)]/ (r_mars)^2. M_mars=0.11*m_earth. R_mars=0.54*r_earth. How does that change the weight? Since m_mars is less than m_earth that decreases it by a factor. What factor? Since r_mars is less than r_earth that increases it by a factor. What factor?

i got the right answer
thank you so much
 

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