Answer to Question #22832 in Mechanics | Relativity for matt

Question

USE conservation of momentum for-
mula. The astronaut will have the same mo-
mentum as the oxygen tank - only in the
reverse direction. ——
A 62.5 kg astronaut is on a space walk when
the tether line to the shuttle breaks. The
astronaut is able to throw a 11.0 kg oxygen
tank in a direction away from the shuttle with
a speed of 11.4 m/s, propelling the astronaut
back to the shuttle.
Assuming that the astronaut starts from
rest, find the final speed of the astronaut after
throwing the tank.
Answer in units of m/s

Answer 1

The equation for theconservation of momentum:
62.5 kg * (-v) + 11.0 kg * 11.4 m/s = 0;
v = 11.0 kg * 11.4 m/s / 62.5 kg = 2.006 m/s

Answer: 2.006 m/s