77? * 77. ssm In outer space two identical space modules are joined together by

Question

77? * 77. ssm In outer space two identical space modules are joined together by a massless cable. These modules are rotating about ? Center o5t mass their center of mass, which is at the center of the cable because the modules are identical (see the drawing). In each module, the cable is connected to a motor, so that the modules can pull each other together. The initial tangential speed of each module is v o = 17 m/s. Then they pull together until the distance between them is reduced by a factor of two. Each module has a final tangential speed of v f. Find the value of vf.

Explanation / Answer

v=rw

here v is proportional to r

if r is reduced by half

v1/v2 = r1/r2

v2=v1*r2/r1

vf=17*2r/r

vf=34 m/s

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