Question

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.

Answer 1

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