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friction is doing the maximum thing it can do;
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then, we can certainly say
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m · g · sin(θ) is then equal to the static friction times N,
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which is now μs times m · g · cos(θ).
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Again, the mass cancels.
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So, it doesn't matter what kind of car you parked on the slope,
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it only depends on the following.
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But g cancels too.
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So, whether you park your car on the Earth or park it on another planet,
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this is going to be the same restriction,
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which is that tan(θ) has to be less than or equal to μs;
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equal to μs is the critical value,