In the figure below, m1 3kg, m2= 4kg, and m3 = 8kg, and the scales on the axes are set by xs = 2m and ys = 2m.  What are the x and y coordinates of the center of mass of the system?

The drawing shows a sulfur dioxide molecule. It consists of two oxygen atoms and a sulfur atom. A sulfur atom is twice as massive as an oxygen atom. Using this information and the data provided in the drawing, find (a) the x coordinate and (b) the y coordinate of the center of mass of the sulfur dioxide molecule. Express your answers in nanometers (1 nm = 10-⁹ m). (a) Xcmx = (b) ycmy= i i Oxygen 60.0⁰ 60.0° 0.143 nm Sulfur Oxygen 0.143 nm

A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a measurement grid. To add an extra degree of randomness, the coordinates of the center of mass of the three dice are used as well. The masses of the three dice are 11.70 g, 15.50 g, and 17.30 g, and their respective coordinates after one particular throw are (0.3810 m, -0.3170 m), (-0.1490 m, 0.4010 m), and (-0.2630 m, –0.4170 m). What are the resulting coordinates of the center of mass of the dice, xem and yem? Xcm Yem =

A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a measurement grid. To add an extra degree of randomness, the coordinates of the center of mass of the three dice are used as well. The masses of the three dice are 11.10 g, 13.70 g, and 17.30 g, and their respective coordinates after one particular throw are (0.2810 m,−0.2330 m), (−0.1910 m,0.2890 m), and (−0.4790 m,−0.2210 m). What are the resulting coordinates of the center of mass of the dice, ?cm and ?cm?   ?cm = ? m  ?cm = ? m

A cubical box, open at the top, with edge length 36 cm, is constructed from metal plate of uniform density and negligible thickness (see the figure). Find the z-coordinate of the center of mass of the box ( cm).

A uniform flat plate of metal is situated in the reference frame shown in the figure below. 5 4 3 2 1 0 + H 0 1 2 3 4 5 6 7 8 9 10 Y Calculate the coordinate of the center of mass of the metal plate.

5. A system consists of three particles as shown in the figure. Mass 1 is 8.10 kg and located at (0, 1.00) - m. Mass 2 is 5.30 kg and located at (2.00, 1.00) m. Mass 3 is 1.00 kg and located at (2.00, 0) m. Calculate the center of mass of the system. y (m) m, m2 y m3 x (m) a. ( 0.875î+ 1.003 ) m b. ( 0.875î + 0.931ĵ ) m c. ( 1.00î + 2.00ĵ ) m d. ( 2.00î + 1.00ĵ ) m e. ( 0.931î + 0.875Î ) m е.

A 46.0-kg skater is traveling due east at a speed of 2.60 m/s. A 66.0-kg skater is moving due south at a speed of 6.10 m/s. They collide and hold on to each other after the collision, managing to move off at an angle  south of east, with a speed of vf. Find (a) the angle  and (b) the speed vf, assuming that friction can be ignored.

A 4.30 kg particle has the xy coordinates (-1.39 m, 0.366 m), and a 2.68 kg particle has the xy coordinates (0.733 m, -0.487 m). Both Ilie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 4.88 kg particle such that the center of mass of the three- particle system has the coordinates (-0.680 m, -0.256 m)? (a) Number i Units (b) Number Units

A 2.00 kg particle has the xy coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the xy coordinates (0.600 m, 0.750 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 3.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m,0.700 m)?