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## Homework Statement

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?

## Homework Equations

[tex]v^2 = u^2 + 2as[/tex]

[tex]F = m.a[/tex]

## 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?

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