a) Two astronauts float in space, at rest relative to each other. The first astr

Question

a) Two astronauts float in space, at rest relative to each other. The first astronaut, mass M1 = 69.2 kg, holds a ball of mass m = 5.77 kg, which she throws at speed v = 7.86 m/s. The second astronaut, mass M2 = 96.9 kg, then catches the ball. Find vrel, the speed one astronaut is moving relative to the other after one throw and one catch.
m/s

b) A machine gun fires bullets of mass m = 78.7 g at muzzle velocity of magnitude v = 943 m/s. The gunner, holding the machine gun in his hands, can exert an average force of magnitude F = 184 N against the gun. Find n, the maximum number of bullets he can fire per minute.
NOTE: The answer must be a whole number. Since you cannot shoot a fraction of a bullet: truncate (chop off) the decimal, instead of rounding.
bullets/minute

Explanation / Answer

since momentum is conserved a) 5.77*7.86=69.2V1 5.77*7.86=(5.77+96.9)V2 V1=0.655 m/s V2=0.442 m/s Vrel =V1-V2=0.213m/s b) let he can fire N np. of bullets per min according to newtons 2 law change in momentum=F.dt N.*0.0787*943

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