Answer: 0.0504 m/s
Step-by-step explanation:
The terminal speed of an object depends on various factors, including its size, shape, and the density of the medium it is moving through. The terminal speed can be calculated using the equation:
terminal speed = (2 * (mass * acceleration due to gravity)) / (density * cross-sectional area * drag coefficient)
Given:
Terminal speed in air = 42 m/s
Density of air (ρ_air) = 1.2 kg/m³
Density of water (ρ_water) = 1.0 x 10³ kg/m³
To find the terminal speed in water, we can use the ratio of densities since the other factors remain the same.
terminal speed in water = (density of air / density of water) * terminal speed in air
Plugging in the values:
terminal speed in water = (1.2 kg/m³ / 1.0 x 10³ kg/m³) * 42 m/s
Calculating:
terminal speed in water = (1.2 x 10⁻³) * 42 m/s
Terminal speed in water = 0.0504 m/s
Therefore, the terminal speed of the baseball in water, with a density of 1.0 x 10³ kg/m³, would be approximately 0.0504 m/s.
I hope this helps :)