Algebraic problem

Smythe

The unknowns below read as "m sub 1", "rub sub 2" etc.
The maths part of a physics problem states:

r1/v1 = r2/v2

Combining these with equation :

m1r1 = m2r2

gives:

v1/v2 = r1/r2 = m2/m1

Would anyone be able to explain to me how they have gone to the final line of

v1/v2 = r1/r2 = m2/m1

Thank you!

sponsoredwalk

If this:

Smythe wrote: »

m1r1/m2r2

is supposed to read something like m₁r₁/m₂r₂ = 1 then we just rewrite is as m₁r₁ = m₂r₂ to derive r₁/r₂ = m₂/m₁.
Thus r₁/v₁ = r₂/v₂ implies r₁v₂ = v₁r₂ giving us v₁/v₂ = r₁/r₂, which results in v₁/v₂ = r₁/r₂ = m₂/m₁.

Smythe

sponsoredwalk wrote: »

If this:



is supposed to read something like m₁r₁/m₂r₂ = 1 .

Apologies for that.

I have now corrected that part of the question.

I've been able to sort the problem out now. Thanks again