A ball falls from a tall bridge. The ball has a mass of 0.15 kg. The air
density is . The ball’s surface area is . The
ball’s coefficient of drag is 0.007. What is the ball’s terminal velocity?
1.225 kg/m3 0.0026 m2
363 m/s
164 m/s
402 m/s
30.4 m/s
To calculate the ball's terminal velocity, we need to use the formula:
Terminal velocity = (2 * m * g) / (p * A * C)
Where:
m = mass of the ball (0.15 kg)
g = acceleration due to gravity (9.81 m/s^2)
p = air density (1.225 kg/m^3)
A = surface area of the ball (0.0026 m^2)
C = coefficient of drag (0.007)
Plugging in the values:
Terminal velocity = (2 * 0.15 * 9.81) / (1.225 * 0.0026 * 0.007)
Terminal velocity = 2.94 / 0.000021385
Terminal velocity = 137.79 m/s
Therefore, the ball's terminal velocity is approximately 137.79 m/s. So none of the given options are correct.