91Ó°ÊÓ

• The mass of a man is $m_1=80\mathrm{kg}$
• The mass of a woman is $m_2=50\mathrm{kg}$
• The mass of a canoe is $m_3=30\mathrm{kg}$
• The length of a canoe is $5m$ long

The mass of the system is defined by considering the average positions of all the objects acting in the system.

The center of mass of the system can be,

Where,

Substitute these values in above expression,

Substituting M values in above expression

Hence, the center of mass of the system is$2.03m$

We know that,

Substituting M values in above expression

The distanceto find how the canoe moved will be foundby;

Here the negative sign indicates the downward movement of the canoe. The canoe moves $1.72m$in the downward direction in the water when man moves quickly to the center of the canoe and sits down there.

Hence, the canoe moves $1.72m$in the downward direction.