y r = 6.0 in. x

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, xcm and ycm? xcm = ? m ycm = ? m

A system consists of three particles with these masses and velocities: mass 3.00 kg, moving north at 3.00 m/s; mass 4.00 kg, moving south at 4.20 m/s; and mass 7.00 kg, moving north at 2.00 m/s. What is the total momentum of the system? Take north as the positive axis. Enter a positive answer if the total momentum is due north and a negative answer if the total momentum is due south. ____kg ⋅ m/s

a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length L =40 cm. Find (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the center of mass of the box.

Four very thin rods, each 6.3 m long, are joined to form a square, as part (a) of the drawing shows. The center of mass of the square is located at the coordinate origin. The rod on the right is then removed, as shown in part (b) of the drawing. What are the x- and y- coordinates of the center of mass of the remaining three-rod system? ty +x +x (a) -0.75 x coordinate of the center of mass = Number Units m y coordinate of the center of mass = Number Units m

Three particles are located on the X-axis. A particle of mass 20 g is located at 0 m. A second particle of mass 20 g is located at 1 m. Where should a particle of mass 26 g be placed so that the Center of Mass of this system is at x=0? (Round your answer to one decimal and enter the units)

A system composed of the following particles: a 0.500 kg particle at the origin; a 1.25 kgkg particle at x = 0.150 mm, y = 0.200 mm; and a 0.750 kg particle at x = 0.200 mm, y = -0.800 mm. a. Find the x-coordinate of the center of mass of the system. b. Find the y-coordinate of the center of mass of the system.

A 80.1 kg linebacker (X) is running at 6.71 m/s directly toward the sideline of a football field. He tackles a 91.7 kg running back (O) moving at 9.49 m/s straight toward the goal line, perpendicular to the original direction of the linebacker. As a result of the collision, both players momentarily leave the ground and go out‐of‐bounds at an angle φ relative to the sideline, as shown in the diagrams. What is the common speed ?f of the players immediately after their impact? What is the angle φ of their motion relative to the sideline?

A boy of mass 44.1 kg is initially on a skateboard of mass 2.00 kg, moving at a speed of 10.2 m/s. The boy falls off the skateboard, and his center of mass moves forward at a speed of 11.1 m/s. Find the final velocity of the skateboard. Magnitude:

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 10.10 g, 15.50 , and 18.70 g, and their respective coordinates after one particular throw are (0.2230 m, −0.1850 m), (-0.3270 m, 0.1830 m), and (-0.3730 m, −0.2550 m). What are the resulting coordinates of the center of mass of the dice, xcm and yem? Xcm = m Ycm = m

52. The Center of Mass of Sulfur Dioxide Sulfur dioxide (SO2) consists of two oxygen atoms (each of mass 16 u, where u is defined in Problem 40) and a single sulfur atom (of mass 32 u). The center-to-center distance between the sulfur atom and either of the oxygen atoms is 0.143 nm, and the angle formed by the three atoms is 120°, as shown in Figure 9-20. Find the x and y coordinates of the center of mass of this molecule. Oxygen 0.143 nm y 120° Oxygen 0.143 nm Sulfur A FIGURE 9-20 Problem 52 I

A BB gun is fired at a cardboard box of mass m2 = 0.65 kg on a frictionless surface. The BB has a mass of m1 = 0.0165 kg and travels at a velocity of v1 = 82 m/s. It is observed that the box is moving at a velocity of v2 = 0.31 m/s after the BB passes through it. A) Write an expression for the magnitude of the BB's velocity as its exits the box Vf Vf=

This is the next homogeneous figure where each square measures 10 cm by 10 cm. Find the horizontal position of the center of mass in relation to the coordinate system. Give the answer in cm. y