initial momentum = 5.5*10^3*0 +7.5*10^3*.2
=1.5*10^3
final is the same
(5.5+7.5)*10^3 v = 1.5*10^3
v = .115 m/s
initial ke = (1/2)(7.5*10^3) .2^2
= .15*10^3 = 150 Joules
final ke = (1/2)(13*10^3) .115^2
= .0865*10^3 = 86.5 Joules
now do it the other way around with first sat at -.2 m/s and second at 0
Two manned satellites approaching one another at a relative speed of 0.200 m/s intend to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. Assume that the positive direction is directed from the second satellite towards the first satellite.
(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest (in m/s).
(b) What is the loss of kinetic energy in this inelastic collision? (in J)
(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest. What is the final velocity (in m/s), and loss of kinetic energy (in J)?
1 answer