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Question Number 118944 by mathdave last updated on 20/Oct/20

	Answered by Dwaipayan Shikari last updated on 21/Oct/20

	$F o r s t a t i o n a r y b o a t s$ $Σ P_{b o a t, m a n} = 0 (A s t h e b o a t a n d t h e m a n s y s t e m w a s s t a t i o n a r y)$ $M V + M^{'} Ψ = 0 (U s i n g c o n s e r v a t i o n o f M o m e n t u m)$ $Ψ = - \frac{M V}{M^{'}} (Ψ = v e l o c i t y b o a t V = v e l o c i t y m a n M, M^{'} (m a s s o f m a n a n d b o a t)$ $Ψ = - \frac{71}{34} . 4.6 \frac{m}{s}$ $Ψ = - 9.60588 \frac{m}{s}$ $V e l o c i t y o f t h e b o a t 9.60588 \frac{m}{s} i n b a c k w a r d d i r e c t i o n .$ $11.3)$ $v^{2} - Ψ^{2} = - 2 a S$ $Ψ^{2} = 2 a S$ $9 . 6^{2} = 2 . a . 19$ $a = \frac{9 . 6^{2}}{38} . \frac{m}{s^{2}} = \frac{92.16}{38} = 2.425 \frac{m}{s^{2}}$ $S o F o r c e n e e d e d = M^{'} \times 2.425 = 34 \times 2.425 N = 82.45 N$
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