Atabletop 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 12.90 g, 13.30 g, and 17.30 g, and their respective coordinates after one particular throw are (0.1270 m, -0.2930 m), (-0.4430 m, 0.2830 m), and (-0.4250 m. -0.1090 m). what are the resulting coordinates of the center of mass of the dice, xem and yem?

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

4. if you were an astronaut on the moon, what would you experience? what would you see from your perspective?

What quantity do units represent in value