Question

If your front lawn is 16.016.0 feet wide and 20.020.0 feet long, and each square foot of lawn accumulates 13501350 new snowflakes every minute, how much snow, in kilograms, accumulates on your lawn per hour? Assume an average snowflake has a mass of 2.20 mg.

Answer 1

The mass of snow accumulated in the lawn in 1 hour equals 57.024 kilograms

Step-by-step explanation:

Given

Width of lawn = 16 feet

Length of lawn = 20 feet

Thus total area of lawn equals
`16* 20=320sq.feet`\

Now it is given that 1 square foot accumulates 1350 new snowflakes each minute thus number of snowflakes accumulated by 320 square feet in 1 minute equals

`320* 1350=432000`

Now it is given that average mass of each snowflake is
`2.20mg=2.20* 10^(-3)g=2.20* 10^(-6)kg`

Hence the mass accumulated per minute equals
`432000* 2.20* 10^(-6)=0.9504kg`

Now since there are 60 minutes in 1 hour thus the mass accumulated in 1 hour equals
`0.9504kg* 60=57.024kg`