Ahunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20 g bullets at 965 m/s. the mass of the hunter (including his gun) is 72.5 kg, and the hunter holds tight to the gun after firing it. find the recoil velocity of the hunter if he fires the rifle (a) horizontally and (b) at 56.0∘ above the horizontal.

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.