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Dynamics Question #4

  1. May 16, 2008 #1
    1. The problem statement, all variables and given/known data
    An aeroplane of mass 20 tonne lands on an aircraft carrier with a horizontal velocity of [tex]80ms^{-1}[/tex]. A [tex]100m[/tex] runway is available.
    (a) What must be the acceleration to bring the aeroplane to rest safely?
    (b) What retarding force is requires?

    2. Relevant equations
    [tex]v^2 = u^2 + 2as[/tex]
    [tex]F = m.a[/tex]

    3. The attempt at a solution
    [tex]m = 90 \times 10^3kg \ , \ v = 80ms^{-1} \ , \s = 100m[/tex]

    (a) [tex]v^2 = u^2 + 2as[/tex]
    [tex]0^2 = 80^2 + 2 \times a \times 100[/tex]
    [tex]-80^2 = 200a[/tex]
    [tex]a = \frac{-80^2}{200}[/tex]
    [tex]a = -32ms^{-2}[/tex]

    (b) [tex]F = m.a[/tex]
    [tex]F = 90 \times 10^3 \times -32[/tex]
    [tex]F = -2.9 \times 10^6 N[/tex]

    Are my answers correct?
     
    Last edited: May 16, 2008
  2. jcsd
  3. May 16, 2008 #2

    alphysicist

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    Homework Helper

    Hi looi76,

    I think your mass for the airplane is incorrect. Am I misunderstanding your numbers? How did you get 90000 kg?
     
  4. May 17, 2008 #3
    Check your conversion factors for tonne to kilograms.
     
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