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As she fires a gun, she is driven back over the edge and into the sea. Suppose t

ID: 2055865 • Letter: A

Question

As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.009 kg, and its velocity is +724 m/s. Her mass (including the gun) is 58 kg.

(a) What recoil velocity does she acquire in response to a single shot from a stationary position, assuming that no external force keeps her in place?

(b) Under the same assumption, what would be her recoil velocity if, instead, she shoots a blank cartridge that ejects a mass of 5.0 10-4 kg at a velocity of +724 m/s?

Explanation / Answer

Initially the system is at rest i.e. momentum=0 with no external forces conservation of momentum 0=m1v1+m2v2 0=0.009*724+58*v v=-0.112 m/s Second case 0=5.0*10^-4*724+58*v v=6.25*10^-3=0.00625m/s