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 3930-kg space tug and a 5770-kg asteroid. They pull on the asteroid with a force of 572 N. Initially the tug and the asteroid are at rest, 551 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 3930-kg space tug and a 5770-kg asteroid. They pull on the asteroid with a force of 572 N. Initially the tug and the asteroid are at rest, 551 m apart. How much time does it take for the ship and the asteroid to meet?

Explanation / Answer

aa + aT = 572/5770 + 572/3930 = 0.24468 m/s2 ===> d = 0.5 a t^2 ===> t = sqrt(2d/a) = sqrt(2*551/0.24468) = 67.1 s

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