a boy of mass 40 kg is standing in a boat at a distance of 20m from the shore. the mass of the boat is 160kg. The boy moves 4m on the boat in a direction away from the shore . The distance of the boy , now from the shore is?
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Given:
a boy of mass 40 kg is standing in a boat at a distance of 20m from the shore. the mass of the boat is 160kg. The boy moves 4m on the boat in a direction away from the shore.
To find:
The distance of the boy, now from the shore is?
Solution:
From given, we have,
Let the boat moves a distance x away from shore.
Then net displacement of boy towards shore = 8 − x
Now apply : m1 x1 = m2 x2
⇒ 160x = 40 (4 − x)
⇒ 160x = 160 - 4x
⇒ 160x + 4x = 160
⇒ 200x = 160
⇒ x = 0.8 m
Distance of boy from shore = 20 − (4 − x)
= 20 - (4 - 0.8)
= 16.8 m .
Therefore, the distance of the boy, now from the shore is 16.8 m
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