At a time when mining asteroids has become feasible, astronauts have connected a line between their 3830-kg space tug and a 5930-kg asteroid. They pull on the asteroid with a force of 671 N. Initially the tug and the asteroid are at rest, 514 m apart. How much time does it take for the ship and the asteroid to meet?

1 answer

the tug and the asteroid are accelerated towards each other by the tension in the line

f = m a ... a = f / m

a1 = 671 / 3830

a2 = 671 / 5930

d1 + d2 = 514

1/2 a1 t^2 + 1/2 a2 t^2 = 514

(a1 + a2) t^2 = 1028