A $$10$$ kg boy standing in a $$40$$ kg boat floating on water is $$20$$ m away from the shore of the river. If the boy moves $$8$$ m on the boat towards the shore, then how far is he from the shore? (Assume$$ no friction between boat and $$water)

Question

Infinity Learn · Accepted Answer

Let the boat moves a distance x away from shore.Then net displacement of boy towards shore $$=$$ $$8$$ $$-$$ xNow apply: $$m1x1$$ $$=$$ $$m2x2$$⇒$$40x$$ $$=$$ $$10(8-x)$$    ⇒x $$=$$ $$1.6$$ mDistance of boy from shore $$=$$ $$20$$ $$-$$ (8$$ $$-$$ $$x) $$=$$ $$13.6$$ m

A 10 kg boy standing in a 40 kg boat floating on water is 20 m away from the shore of the river. If the boy moves 8 m on the boat towards the shore, then how far is he from the shore? (Assume no friction between boat and water)

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