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Textbook Expert
Textbook ExpertVerified Tutor
24 Nov 2021

Given information

The package's mass,  

The boat's mass,  

The package's velocity,

The child's mass,     

 

Step-by-step explanation

Step 1.

Initially, the child, the package, and the boat are all at rest.

As a result, the system's initial momentum is zero. Because the system is isolated, momentum is preserved.

When the child throws a package with a velocity in the boat= ,The package gathers momentum. However, according to the rule of conservation of momentum, the total final momentum of the system consisting of the child, boat, and parcel equals the beginning momentum. And the answer is zero. To support this hypothesis, the boat acquires velocity= .

We can denote,

Mass of the package=  

Mass of the child=  

Mass of the boat=  

and the system is initially at rest, the initial momentum is zero.

 

The final momentum of the system is given by

 

Since momentum is preserved, so the equation will be,

 

 

 

 

 

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