A water molecule consists of an oxygen atom and two hydrogen atoms. The two O—H bonds are each 0.1 nm long and form an angle of 107◦ with each other. Where is the molecule’s centre of mass located? Consider the mass of the oxygen atom to be 16 times the mass of a hydrogen atom, and place your hydrogen atoms along the x-axis of your coordinate system. [Hint: Draw your coordinate system!].

Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown. The monument is made from tens of thou- sands of small stone blocks of density = 800 kg/m3 . The monument is 15.7 m high and 64.8 m wide at its base and is everywhere 3.60 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. (a) Choosing a coordinate system with x = 0 at the center of the pyramid, y = 0 at the base of the pyramid, and z = 0 at the face of the pyramid shown in the diagram, determine the coordinates of the center of mass of the pyramid in the x, y, and z directions. (b) How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object–Earth system is given 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.

Find the center of mass of the structure about point A of the figure below. Assume a uniform thickness of 20 cm, and a uniform density of 2.0 g/cm³. sphere, radius = 8 cm 58 cm 3 cm 24 cm A 58 cm- 70 cm 6 cm 18 cm XCM = Enviar Respuesta Tries 0/100 усм = width .7 cm

A water molecule consists of an oxygen atomwith two hydrogen atoms bound to it. Theangle between the two bonds is 106◦.  If each bond is 0.093 nm long, how far fromthe oxygen atom is the center of mass of themolecule? Take the mass of an oxygen atomto be 16 times the mass of a hydrogen atom.Answer in units of nm