- #1

henry3369

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## Homework Statement

A hunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20g bullets at 950m/s . The mass of the hunter (including his gun) is 72.5kg , and the hunter holds tight to the gun after firing it.

Find the recoil speed of the hunter if he fires the rifle at 52.0∘ above the horizontal.

## Homework Equations

## The Attempt at a Solution

Vx = 950cos(52)

Vy = 950sin(52)

Conservation of Momentum in the x-Direction:

m1v1' = -m2v2'

(72.5)v1' = (-0.0042)(950cos(52))

v1' = -0.033882611 m/s

Conservation of Momentum in the y-Direction:

m1v1' = -m2v2'

(72.5)(v1') = (-0.0042)(950sin(52))

v1' = -0.043367764 m/s

vf = sqrt(0.033882611

^{2}+0.043367764

^{2}) = 0.055 m/s

The correct answer is 0.0339 m/s

What am I doing incorrectly?