A piece of hail has a mass of 0.08 kilograms. It presents an area of 0.0014 square meters, and has a drag coefficient of 0.4. Air density near the ground is 1.225 kilograms per cubic meter. What is the hail’s terminal velocity as it approaches the ground?
1) 15.3 meters per second
2) 47.7 meters per second
3) 2,274 meters per second
4) 30.2 meters per second
The terminal velocity of an object can be calculated using the formula:
Terminal velocity = sqrt((2 * mass * gravity) / (density * drag coefficient * area))
Plugging in the values:
Terminal velocity = sqrt((2 * 0.08 * 9.81) / (1.225 * 0.4 * 0.0014))
Terminal velocity = sqrt(1.5688 / 0.001715)
Terminal velocity = sqrt(915.7999)
Terminal velocity = 30.2 meters per second
Therefore, the hail's terminal velocity as it approaches the ground is 30.2 meters per second.
Answer: 4) 30.2 meters per second