Find the x and y components of a position vector r⃗ , of magnitude r = 78 m, if its angle relative to the x axis is 30.0 ∘.

Given: The magnitude of position vector r = r = 78 m

The angle relative to the x-axis θ =30°

Concept: If the position vector r making angle θ with x-axis then position vector can be expressed as

                              r = r cos θ i + r sin θ j

Here, i and j are the unit vectors along x and y axes respectively.

x component of position vector r = r cos θ

y component of position vector r = r sin θ

Solution: From the given problem, the position vector r can be written as

                          r = (78 cos 30° i + 78 sin 30° j ) m

So, the x component of position vector r = 78 cos 30° m = 67.55 m

And, the y component of position vector r = 78 sin 30° m = 39.0 m

Hence, the required x & y components of position vector r will 67.55 m and 39.0 m respectively.

0.3x0.21x0.08kg=mass 1 sheet

mass 500 = 500xmass 1

volume pile = 0.3x0.2x0.048

density=mass/volume= 500xmass 1/0.3x0.2x0.048

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-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

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