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18 December, 06:31

If your front lawn is 15.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1150 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 2.20 mg.

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  1. 18 December, 09:02
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    First, we calculate the total are:

    Area = 15 x 20

    Area = 300 sq ft

    Snowflakes accumulated per minute = 1150 x 300

    Snowflakes per minute = 345,000 snowflakes per minute

    Snowflakes per hour = 345,000 x 60

    Snowflakes per hour = 20,700,000

    Snowflakes per hour = 20.7 x 10⁶

    Mass of one snowflake = 2.2 mg

    Mass of one snowflake = 2.2 x 10⁻³ g

    Mass of one snowflake = 2.2 x 10⁻⁶ kg

    Mass of snow = 20.7 x 10⁶ x 2.2 x 10⁻⁶

    Mass of snow = 45.54 kg per hour
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