Center of MassHardBloom L3

Question

A man weighing 80 kg is standing at the centre of a flat boat and he is 20 m from the shore. He walks 8 m on the boat towards the shore and then halts. The boat weight 200 kg. How far is he from the shore at the end of this time?

Options

A.11.2 m
B.13.8 m
C.14.3 m
D.15.4 m

Solution

Sol. Let the displacement of boat be x towards the shore

80 (x + 8) + 200 x = 0

⇒ x = $\frac{- 640}{280} = - \frac{16}{7}$

∴(∆x) = $8 - \frac{16}{7} = \frac{40}{7}$

∴ New distance from shone

= $20 - \frac{40}{7} = \frac{100}{7}$= 14.28m ≈14.3m

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