If a 75 kg sailboat experiences an initial acceleration of 6 m/s² under a moderate wind, what would be the expected acceleration of a 225 kg sailboat with identical sail?

To determine the expected acceleration of the 225 kg sailboat with identical sails, we can use Newton's second law, which states that force equals mass times acceleration (F = ma). In this scenario, the same wind force is acting on both sailboats, but they have different masses.

First, we can calculate the force exerted on the 75 kg sailboat using the given acceleration:

Force (F) = mass (m) × acceleration (a) = 75 kg × 6 m/s² = 450 N.

Now, when we apply the same force of 450 N to the 225 kg sailboat, we can find its acceleration:

Acceleration (a) = Force (F) / mass (m) = 450 N / 225 kg = 2 m/s².

This calculation shows that the acceleration of the heavier sailboat is reduced due to its greater mass while the same amount of force is acting on it. Thus, the expected acceleration of the 225 kg sailboat with identical sails under the same wind would be 2 m/s².