A body of mass M1 has 1/4 times the linear momemtum of M2 if M2 has three times the mass of M1, what the relationship between V1 and V2 ? Select one: а. V1 %3 (4/3) * V2 b. V2 = (1/12) * V1 V1 = 12 * M2 С. d. V2 = (4/3) * V1 V1 = (3/4) * V2 е.

Determine the x- and y-coordinates of the mass center of the plate of uniform thickness t = 0.20 in. The plate has a density that varies accoring to p = Po 10 (1 + 2/6). Answers: x = y = 16.9 x = ky² b=27" in. 17" Thickness t ! in.

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.