Question

A 50kg man is standing on a flat boat at rest in a river.He moves 5m north and halts.If the boat has a mass of 450 kg then the boat moves through?​

Answer 1

Answer:

0.5 meters towards the south

Answer 2

The boat moves 0.625 m in opposite direction.

Explanation:

Given that,

Mass of man = 50 kg

Mass of boat = 450 kg

Distance = 5 m

We need to calculate the distance of the boat

Using formula of center of mass

$X_{cm}=\dfrac{m_{m}x_{m}+m_{b}x_{b}}{m_{m}+m_{b}}$

Center of mass at origin is zero

Put the value into the formula

$0=\dfrac{50\times 5+450x}{50+450}$

$250+400x=0$

$x=-\dfrac{250}{400}$

$x=-0.625\ m$

Negative sign shows the opposite direction of the motion

Hence, The boat moves 0.625 m in opposite direction.

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Topic : center of mass

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