An object, with mass m and speed v relative to an observer, explodes into two pieces, one three times as massive as the other; the explosion takes place in deep space. the less massive piece stops relative to the observer. how much kinetic energy is added to the system during the explosion, as measured in the observer's reference frame? (use any variable or symbol stated above as necessary.)

a) / K₀ = 27/64

Explanation:

We will solve this problem with the expressions of the moment. Let us form a system that contains the initial stone and the two final fragments, all the forces are internal and the moment is preserved.

Moment before the explosion

    p₀ = M v

After the explosion

    Mt = 3m + m = 4m

    = (3m) vf + m (0)

    p₀ =  

    M v = (3m)  

    = v 3m / M

      = v 3m / 4m

    = ¾ v

Having the speed of the stones before and the fragments we can calculate the kinetic energy

Before explosion

    K₀ = ½ M v²

    K₀ = ½ 4m v²

    K₀ = 2 mv²

After explosion

    = ½ (3m) ² + 0

    = ½ (3m) (¾ v)²

  = 27/32 m v²

The relationship between energy is the division of them

    / K₀ = 27/32 mv2 / (2 mv2)

  / K₀ = 27/64

-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

where’s the list ? the question is incomplete