Adog, with a mass of 10.0 kg, is standing on a flatboat so that he is 22.5 m from the shore. he walks 7.8 m on the boat toward the shore and then stops. the boat has a mass of 46.0 kg. assuming there is no friction between the boat and the water, how far is the dog from the shore now?

16.096

Explanation:

Given

mass of dog

mass of boat

distance moved by dog relative to ground=

distance moved by boat relative to ground=

Distance moved by dog relative to boat=7.8m

There no net force on the system therefore centre of mass of system remains at its position

0=

0=

i.e. boat will move opposite to the direction of dog

Now

substitutingvalue

now the dog is  22.5-6.403=16.096m from shore

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