Problem

At the instant shown a group of three space-junk fragments with masses m1 = 7.45 kg, m2 =...

At the instant shown a group of three space-junk fragments with masses m1 = 7.45 kg, m2 = 3.22 kg, and m3 = 8.45 kg are traveling as shown with υ1 = 7701 m/s, υ2 = 6996 m/s, and υ3 = 6450 m/s. Assume that the velocity vectors of the fragments are coplanar, that and are parallel, and that θ is measured with respect to a line perpendicular to the direction of both and . Furthermore, assume that the system is isolated and that, because of gravity, the fragments will eventually form a single body. Determine the common velocity of the fragments after they come together if θ = 25°.