Question

A rifle shoots 50.0 gram bullet with a muzzle a velocity of 350 m/s. How fast would a 80.0 kg person have to run in order to have the same amount of kinetic energy as the bullet in flight? If the bullet is shot vertically, what is the the maximum height about the gun barrel reached by the bullet. Ignoring any frictional force.
mv²/2 =MV²/2
V=v•sqrt(m/M) =
=350sqrt(50•10⁻³/80)=
=8.75 m/s
mv²/2=mgh
h= v²/2g=350²/2•9.8 =6250 m

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