Cyclist A, who has constant speed 4.0 m s−1, overtakes cyclist B, who is stationary, at time t=0. 2.0 seconds later, cyclist B begins to accelerate uniformly at 1.0 m s−2.

Calculate the time at which cyclist B overtakes cyclist A.

Give your answer to an appropriate number of significant figures.

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.