At a time when mining asteroids has become feasible, astronauts have connected a

Question

At a time when mining asteroids has become feasible, astronauts have connected a line between their 3670-kg space tug and a 6380-kg asteroid. They pull on the asteroid with a force of 626 N. Initially the tug and the asteroid are at rest, 416 m apart. How much time does it take for the ship and the asteroid to meet?

At a time when mining asteroids has become feasible, astronauts have connected a line between their 3670-kg space tug and a 6380-kg asteroid. They pull on the asteroid with a force of 626 N. Initially the tug and the asteroid are at rest, 416 m apart. How much time does it take for the ship and the asteroid to meet? Number Units the tolerance is +/-2%

Explanation / Answer

accelerationof asteriod

a=F/m =626/6380=0.098 m/s^2

acceleration of tug

at =626/3670 =0.1706 m/s^2

a=aA+at =0.098+0.1706=0.2687 m/s^2

X=Vot+(1/2)at^2

416=0+(1/2)*0.2687*t^2

t=55.64 s

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