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explorers in the jungle find an ancient monument in the shape of a large isoscel

ID: 1700486 • Letter: E

Question

explorers in the jungle find an ancient monument in the shape of a large isosceles triangle. the monument is made from tens of thousands of small stone blocks of density 3 800 kg/m^3. the monument is 15.7 m high and 64.8 m wide as its base and is everywhere 3.6m thick from front to back. before the monument was built many years ago all the stone blocks lay on the ground. how much work did laborers do on the block to put them in position while building the entire monument? note the gravitational potential energy of an object-earth systen is give by Ug=Mgycm where M is the total mass of the object and ycm is the elevation of its center of mass above the chosen reference level

Explanation / Answer

the center of mass of the monument is 1/3 height of its. (because this is an isosceles triangle). so that total potential energy. M*h*g/3=A where M=V*D and V=15.7*64.8*3.6/2 so M=7e6(kg). so A=357e6J