A ball falls from a tall bridge. The ball has a mass of 0.15 kg. The air density is 1.225 kg/m3

Question

. The ball’s surface area is 0.0026 m2
. The ball’s coefficient of drag is 0.007. What is the ball’s terminal velocity?(1 point)
Responses

363 m/s
363 m/s

164 m/s
164 m/s

30.4 m/s
30.4 m/s

402 m/s
402 m/s

Answer 1

To calculate the ball's terminal velocity, you can use the formula:

Terminal velocity = sqrt((2 * weight) / (air density * surface area * drag coefficient))

First, calculate the weight of the ball using the formula:

weight = mass * g

Where g is the acceleration due to gravity, which is approximately 9.8 m/s^2.

weight = 0.15 kg * 9.8 m/s^2 = 1.47 N

Now, plug the values into the formula for terminal velocity:

Terminal velocity = sqrt((2 * 1.47) / (1.225 * 0.0026 * 0.007))

Terminal velocity ≈ 30.4 m/s

Therefore, the ball's terminal velocity is approximately 30.4 m/s.