Two astronauts, \( \mathrm{A} \) and \( \mathrm{B} \), both with ma...

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Two astronauts, \( \mathrm{A} \) and \( \mathrm{B} \), both with mass of \( 60 \mathrm{~kg} \), are moving along a straight line in the same direction in a "weightless" spaceship. Relative to the spaceship the speed of \( A \) is \( 2 \mathrm{~m} / \mathrm{s} \) and that of \( B \) is \( 1 \mathrm{~m} / \mathrm{s} \). A is carrying a bag of mass \( 5 \mathrm{~kg} \) with him. To avoid collision with \( B, A \) throws the bag with a speed \( v \) relative to the spaceship towards \( B \) and \( B \) catches it. Find the minimum value of \( v \).
(a) \( 7.8 \mathrm{~m} / \mathrm{s} \)
(b) \( 26.0 \mathrm{~m} / \mathrm{s} \)
(c) \( 14.0 \mathrm{~m} / \mathrm{s} \)
(d) \( 9.2 \mathrm{~m} / \mathrm{s} \)
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