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Two astronauts, one of mass 65 $\mathrm{kg}$ and the other $85 \mathrm{kg},$ are initially at rest in outer space. Then then push each other apart. How far apart are they when the lighter astronaut has moved 12 $\mathrm{m} ?$

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21$m$

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Cornell University

University of Winnipeg

McMaster University

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Okay, so ordering Chapter nine Problem 97. There's two astronauts. Uh huh. Mass one massive 65 kilograms and masses, 85 kilograms are initially at rest damn space. They then push each other apart. How far apart are they with lighter ashman? 12 meters. Okay, So since the only forces are within this system, we know that this nerve gas will not change. So if we let the center of mass be the Oregon or Senator Last Nickel zero, we can figure this out. So consider mass, and that's always equal to in a That's a plus. Looks now like they believe is inconsistent. So what changes warmed A to B. This is all over in the course b. Okay, so we want to see when If they both started at the origin, we have zero. As our center of mass is equal to 65 killed names. Times says that person a had moved 12 years of pics of times 12 years once, 85 killer greens times. This axe would figure that out. Fight it by 65 plus 80. That's 150. Okay, so this goes away and we have x equal. Negative 65 kilograms times 12 meters over £85. So if you plug that in our calculator here we have 65 times this Curran's negative mine years roughly about 9.1. Okay, cool. So now we're trying to find the distance between them. That's X A minus X be just what we found. So that's 12 minus nine or 21 years their distance between.

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