Question #55749

astronauts mr. x and mr. y float in zero gravity space with no velocity. mr y throws a mass of 5 kg towards x with speed 2 ms. if mr. x catches it the change in velocity of x and y are

Expert's answer

Answer on Question #55749-Physics-Classical Mechanics

Astronauts mr. x and mr. y float in zero gravity space with no velocity. Mr. y throws a mass of 5 kg towards x with speed 2 ms. if mr. x catches it the change in velocity of x and y are

Solution


The change in momentum is


ΔP=5kg⋅2ms=10kgms.\Delta P = 5 k g \cdot 2 \frac {m}{s} = 1 0 \frac {k g m}{s}.


The change in velocity of xx is


vx=ΔP(120+5)kg=10kgms(120+5)kg=0.08msv _ {x} = \frac {\Delta P}{(1 2 0 + 5) k g} = \frac {1 0 \frac {k g m}{s}}{(1 2 0 + 5) k g} = 0. 0 8 \frac {m}{s}


The change in velocity of yy is


vy=ΔP(90−5)kg=10kgms(90−5)kg=0.12msv _ {y} = \frac {\Delta P}{(9 0 - 5) k g} = \frac {1 0 \frac {k g m}{s}}{(9 0 - 5) k g} = 0. 1 2 \frac {m}{s}


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