Universal law of gravitation problem

AI Thread Summary
The discussion revolves around calculating the weight of a 525 kg rover on Earth and Mars using the universal law of gravitation. The weight on Earth is determined to be approximately 5145 N. To find the weight on Mars, participants discuss the mass and radius ratios of Mars to Earth, noting that Mars has a smaller mass and diameter, which affects the gravitational force experienced by the rover. The calculations involve using the gravitational constant and plugging in the appropriate values for mass and radius. Ultimately, the participant successfully arrives at the correct answer with assistance from others.
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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