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A marksman standing on a motionless railroad car fires a gun into the air at an

ID: 1259557 • Letter: A

Question

A marksman standing on a motionless railroad car fires a gun into the air at an angle of 30.0

A marksman standing on a motionless railroad car fires a gun into the air at an angle of 30.0° from the horizontal (the figure below). The bullet has a speed of 174 m/s (relative to the ground) and a mass of 0.012 kg. The man and car move to the left at a speed of 1.4 X 10^-3 m/s after he shoots. What is the mass of the man and car? [Hint: A component of a system's momentum along an axis is conserved if the net external force acting on the system has no component along that axis.]

Explanation / Answer

momentum of system along horizontal will be conserved.

initial = final momentum

0 = 0.012 x 174cos30 + (M+m) (-1.4 x 10-3)

(M +m) = 1291.62 kg

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