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total mass of body and plateform = 100kg
conservation of momentum in horizontal direction 100V + 1*10cos45 =0
V=-1/10√2 m/sec
negative sign indicates in the reverse direction.
time of filght = 2*10 sin 45 /10
= √2
so in this time plateform will move = V*t
= 1/10√2 * √2
= .1 m = 10 cm Answer
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