During a violent thunderstorm, hail of diameter 0.59 cm falls directly downward at a speed of 30 m/s. There are estimated to be 130 hailstones per cubic meter of air. (a) What is the mass (in g) of each hailstone (density = 0.92 g/cm3)? (b) Assuming that the hail does not bounce, find the magnitude of the average force on a flat roof measuring 12 m x 19 m due to the impact of the hail. (Hint: During impact, the force on a hailstone from the roof is approximately equal to the net force on the hailstone, because the gravitational force on it is small.)

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