Question

Two bodies in free space have mass 6kg and 9kg respectively are 8m apart. Where is their center of mass?

Answer 1

(6×8 + 9×8) ÷ (6+9)
= 8

Answer 2

Explanation:

Given that,

Mass 1, $m_1=6\ kg$

Mass 2, $m_2=9\ kg$

Distance between them, r = 8

To find,

The center of mass.

Solution,

Let 6 kg mass is placed at a distance of 0 m. The center of mass is given by :

$m=\dfrac{m_1x_1+m_2x_2}{m_1+m_2}\\\\m=\dfrac{6\times 0+9\times 8}{6+9}\\\\m=4.8\ kg$

So, the center of mass of the bodies is 4.8 kg.

Learn more,

Center of mass

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