**18. At a time when mining asteroids has become feasible, astronauts have connected a line between their 3500-kg space tug and a 6200-kg asteroid. Using their tug’s engine, they pull on the asteroid with a force of 490 N. Initially the tug and the asteroid are at rest, 450 m apart. How much time does it take for the tug and the asteroid to meet?

Solve for time

We get the accelerations from Newton’s second law F = ma

So we get

And

Since F_A = F = F_T because the force on each object (Tug, Asteroid) is the same so we just call it F. Plugging into the time equation

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This page last updated on January 11, 2020