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Algebraic problem

  • 25-12-2012 3:04pm
    #1
    Smythe
    Registered Users, Registered Users 2 Posts: 434 ✭✭


    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!


Comments

  • #2
    sponsoredwalk
    Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭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.


  • #3
    Smythe
    Registered Users, Registered Users 2 Posts: 434 ✭✭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


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