Avertical spring with a spring constant of 310 n/m is mounted on the floor. from directly above the spring, which is unstrained, a 0.28-kg block is dropped from rest. it collides with and sticks to the spring, which is compressed by 3.6 cm in bringing the block to a momentary halt. assuming air resistance is negligible, from what height above the compressed spring was the block dropped?

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.