Two astronauts are floating motionless in space when they push off from each other. Astronaut A...
Two astronauts are floating motionless in space when they push off from each other. Astronaut A has a large mass M, and Astronaut B has a small mass m. After they finish pushing Astronaut B is moving with speed v. Which Astronaut has a larger kinetic energy after the push? (a) Astronaut A (b) Astronaut B (c) They have the same kinetic energy (d) It’s not possible to tell without knowing the numbers
Homework Answers
from the conservation of momentum
momentum of A = momentum of B
M*v = M*v'
v' = Mv/m
astronaut A has kinetic energy = kA = 1/2*M*v^2
astronaut B has kB = 1/2*m(Mv/m)^2
kB = 1/2*m(M^2*v^2/m^2)
kB = 1/2*(M/m)*v^2
when compared to both kinetic energies astronaut has more kinetic energy
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