A(n) 86 kg fisherman jumps from a dock into a 134 kg rowboat at rest on the West side of the dock. If the velocity of the fisherman is 3.5 m/s to the West as he leaves the dock, what is the final velocity of the fisherman and the boat? Answer in units of m/s.

1.3m/s to the west.

Explanation:

Since there are no external forces acting in the horizontal axis (the gravitational force doesn't count as it is in the vertical axis), the linear momentum must be conserved. This is, that the momentum of the system at the instant in which the fisherman jumped has to be equal to the momentum after the fisherman landed on the boat. So, this can be expressed as:

But the initial speed of the boat is zero because it starts at rest. Then, we get:

Solving for the final velocity of the fisherman and the boat , we have:

Finally, since the final velocity has the same sign as the initial velocity, it may go in the same direction. Thus, the final velocity of the fisherman and the boat is 1.3m/s to the west.

-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