Romeo (85.0 kg) entertains juliet (59.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from juliet, who is in the front of the boat. after the serenade, juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on romeo's cheek. how far does the 75.0-kg boat move toward the shore it is facing?

To solve the problem it is necessary to apply the concepts related to the center of mass in a system.

The general formula of the center of mass is given by:

Where

Coordenate according the Reference

Mass of objects

For this problem we have three bodies defined: Romeo, Juliet and the Boat. In this way,

When they approach to kiss, the movement generates two things, the first is that the center of mass remains at the same distance as it was previously from the shore, however, it generates a substantial change with the back of the boat.

The displacement of the boat would then be given by the change of position which is

object 2 because all the other ones are wrong

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this