What is the mass of the second asteroid?

AI Thread Summary
To find the mass of the second asteroid, the gravitational force equation was applied, resulting in a calculated mass of 5.74x10^19 kg. Although this value appears large, it is consistent with known masses of significant asteroids. The gravitational constant used was G = 6.67x10^-11 Nm^2/kg^2, and the distance between the asteroids was 300 km. The discussion highlights the accuracy of the calculations and reassures that large asteroid masses are not uncommon. Overall, the forum emphasizes a supportive environment for problem-solving in physics.
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Homework Statement


A 4.7x10^3 kg asteroid is acted on by a gravitational force of 2.0x10^2 N from another asteroid that is 3.0x10^2 km (3.0x10^5 m) away. What is the mass of the second asteroid?

Homework Equations


The equations we have been working with are
356ed489deee0677da9532e2b8acd432.gif
in which G is 6.67*10-11Nm^2/Kg^2
and
137cc55ed7f4746b8a247ad69d64a9a5.gif

But we don't have the information to use the second one

The Attempt at a Solution


356ed489deee0677da9532e2b8acd432.gif
in which I solved for m2
b8742161d05cb531c479ec95e1cdcf94.gif

=
581ea9c349629a8e470f173dff0d6fef.gif

=5.74*1019 kg

The number is huge though which makes me think that I did something incorrect or used the wrong formula
 
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Thank you (for your help and the welcome) !
It seems like a very friendly forum so far :)
 

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