# Physics

A missile launcher, mass M, at rest on a horizontal track fires a missile, mass m, horizontally.
a) If the launch speed of the missile is v o , what (effective) coefficient of (kinetic) friction is
required in order to stop the launcher within x meters? (b) Missile launcher mass is 4400 kg,
missile mass is 110 kg, missile launch speed is 450 m/s, the effective coefficient of friction on
the launcher is 0.75. Find x.

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1. (a)
Law of conservation of lineat momentum
0=mvₒ-Mu
u= mvₒ/M
Law of conservation of energy

M•u²/2=μ•Mg•x
μ = u²/2• g•x = (mvₒ)²/2•M²• g•x

(b) x = (mvₒ)²/2•M²• g• μ

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