The magnitude of the gravitational force between a particle of mass m1 and one of mass m2 is given by f(x) = g m1m2 / x2, where g is a constant and x is the distance between the particles. (use any variable or symbol stated above as necessary.) (a) what is the corresponding potential energy function u(x)? assume that u(x) → 0 as x → [infinity]. u(x) =

U = Gm₁m₂ / x

Explanation:

F(x) =  Gm₁m₂/x²

F(x) = -dU /dx

∫-dU =∫F(x)dx

U₁ -U₂ = ∫Gm₁m₂/x²dx

U₁ -U₂ = - Gm₁m₂/x

U₂ -U₁ =  Gm₁m₂/x

When x = ∝ , U₁ =0

When x = x , U₂ =U

Putting these values, we have

U = Gm₁m₂ / x

a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be?

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they are non-matter

explanation:

they are non-matter. basically, any type of energy or any abstract concept is an example of something that does not matter. other examples include dreams, magnetism, radio, and hate