A 10 kg boy standing in a 40 kg boat floating on water is 20 m away from the shore of the river. If the boy moves 8 m on the boat towards the shore, then how far is he from the shore? (Assume no friction between boat and water)

Question

A 10 kg boy standing in a 40 kg boat floating on water is 20 m away from the shore of the river. If the boy moves 8 m on the boat towards the shore, then how far is he from the shore? (Assume no friction between boat and water) (A) 12.0 m (B) 13.6 m (C) 12.8 m (D) 11.6 m

Tardigrade Admin · Accepted Answer

Let the boat moves a distance x away from shore. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/507f8f90016cb0d0caf45d97b712be79-.png" /> Then net displacement of boy towards shore =8-x Now apply: m1 x1=m2 x2 ⇒ 40 x=10(8-x) ⇒ x=1.6 m Distance of boy from shore =20-(8-x)=13.6 m

Q. A 10 kg boy standing in a 40 kg boat floating on water is 20 m away from the shore of the river. If the boy moves 8 m on the boat towards the shore, then how far is he from the shore? (Assume no friction between boat and water)

12.0 m

13.6 m

12.8 m

11.6 m

Let the boat moves a distance $x$ away from shore.

Then net displacement of boy towards shore $= 8 - x$
Now apply: $m_{1} x_{1} = m_{2} x_{2}$
$\Rightarrow 40 x = 10 (8 - x) \Rightarrow x = 1.6 m$
Distance of boy from shore $= 20 - (8 - x) = 13.6 m$

Q. A 10 kg boy standing in a 40 kg boat floating on water is 20 m away from the shore of the river. If the boy moves 8 m on the boat towards the shore, then how far is he from the shore? (Assume no friction between boat and water)

12.0 m

13.6 m

12.8 m

11.6 m

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​ ⇒40x=10(8−x)⇒x=1.6m Distance of boy from shore =20−(8−x)=13.6m

Let the boat moves a distance $x$ away from shore.

Then net displacement of boy towards shore $= 8 - x$
Now apply: $m_{1} x_{1} = m_{2} x_{2}$
$\Rightarrow 40 x = 10 (8 - x) \Rightarrow x = 1.6 m$
Distance of boy from shore $= 20 - (8 - x) = 13.6 m$