Question

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The first has a mass of 2.50 ✕ 10^{3} kg, and the second a mass of 7.50 ✕ 10^{3} kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.

.............m/s

Step 1

Let *m _{1}* and

Assuming the initial velocity of first satellite be *v *and that of second satellite be *u.*

Here, it is mentioned that the second satellite is assumed to be at rest initially, and the direction from the second satellite to the first one is taken as positive.

As both the satellites are approaching towards each other, so the relative velocity of first satellite with respect to second satellite is *v _{r}=(-v)-u* and that of second satellite with respect to itself is

Step 2

The information given in the question is as follows,

Step 3

Now, the collision is elastic and relative final velocities of satellites 1 and 2 are taken to be *vf1 *and *vf2* respectively....

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