Two manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The first has a mass of 4.00 ✕ 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.  m/s(b) What is the loss of kinetic energy in this inelastic collision?  J(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.final velocity m/s???loss of kinetic energy  J

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Asked Sep 20, 2019
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Two manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The first has a mass of 4.00 ✕ 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.
  m/s

(b) What is the loss of kinetic energy in this inelastic collision?
  J

(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.
final velocity
 
m/s???
loss of kinetic energy
  J

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Griven, Mas offirat Aatellite, m, = 4.00 X10 k3 Mam of Aeconol Sabeaeite, m, Relatine velocity between bik Aateleik, Vrel * O.1 "/S 7.So X10

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In the reference fame of firat sutellite , if we omume th olfrecton of Phe apppo achina veloeity of 1econd sateleite an pasine af bot Aateleites are Then, the velo ci velo ity of ftt Ate Qlite, u,= O m/s Velofy of Aecmd Aateliite, U= 0-1mls

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After decking both satellite oftainedl egual velo fty v Appley fng the Condervatfon of momentum Pfnilial (m,tm2v mum2U2 rearanging we get miU,+ M2 U2 mitm2 V 4.0oX10k2)0m/s)>+ (7.50xID°les) (lo.Ims 4.00xI0 9) 7.50 X10 Ka) O.065 m/s 1

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