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13 October, 13:49

A 85-kg astronaut is stranded from his space shuttle. He throws a 1-kg hammer away from the shuttle with a velocity of 17 m/s. How fast will he be propelled toward the shuttle, in m/s? (Round your answer to one decimal place if necessary.)

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  1. 13 October, 14:01
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    0.2 m/s

    Explanation:

    given,

    mass of astronaut, M = 85 Kg

    mass of hammer, m = 1 Kg

    velocity of hammer, v = 17 m/s

    speed of astronaut, v' = ?

    initial speed of the astronaut and the hammer be equal to zero = ?

    Using conservation of momentum

    (M + m) V = M v' + m v

    (M + m) x 0 = 85 x v' + 1 x 17

    85 v' = - 17

    v' = - 0.2 m/s

    negative sign represent the astronaut is moving in opposite direction of hammer.

    Hence, the speed of the astronaut is equal to 0.2 m/s
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