Three objects are situated along the y-axis. Their masses and positions are: An object of mass m1=2.80 kg at position y1=-0.200 m; an object of mass m2=2.40 kg at position y2=3.30 m; and an object of mass m3=3.40 kg at position y3=-3.60 m. Determine the position in m along the y-axis of the center of mass of the objects.

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.