- #1
looi76
- 81
- 0
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?
Last edited: