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A 10G bullet is short from a 5kg gun with a velocity of 400m/s.What is the speed of recoil of the gun?

• Physics? Math? What? -

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• physics -

Initial momentum = 0
momentum of bullet = mv
momentum of gun = MV

Using conservation of momentum
mv+MV = 0
therefore
V=-mv/M

• physics -

The momenta of the bullet and the gun are equal (and opposite in direction) after firing. If Vr is the recoil velocity,

5.0*Vr = 0.01 * 400

Solve for Vr, which will be im m/s.

Note that I had to use the same mass units for bullet and gun.

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