Problem 29PE

Professional Application

Two manned satellites approach one another at a relative speed of 0.250 m/s, intending to dock. The first has a mass of 4.00×103 kg , and the second a mass of 7.50×103 kg . If the two satellites collide elastically rather than dock, what is their final relative velocity?

Solution 29PE

This question can be solved applying the concept of coefficient of restitution. The coefficient of restitution is the ratio of the two body’s speed of separation to their speed of approach. For an elastic collision, the coefficient of restitution is 1.

Step 1 of 2

The relative speed of approach of the two satellites is 0.250 m/s.

The collision is given to be elastic and so its coefficient of restitution is 1.