Step 1 :This question is about Bernoulli's Principle, which is a principle in fluid dynamics that states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy.
Step 2 :The options given are: 1. Dropping objects not accelerating with the full acceleration due to gravity, $g$. 2. Baseballs curving when spinning 3. Being able to raise a large mass using a hydraulic jack. 4. Umbrellas turning inside out when windy
Step 3 :Analyzing each option: 1. Dropping objects not accelerating with the full acceleration due to gravity, $g$. This is more related to the principle of gravity rather than Bernoulli's Principle.
Step 4 :2. Baseballs curving when spinning. This is a phenomenon known as the Magnus effect, which is indeed related to Bernoulli's Principle. The spinning of the baseball creates a pressure differential, causing it to curve.
Step 5 :3. Being able to raise a large mass using a hydraulic jack. This is more related to Pascal's Principle, which states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.
Step 6 :4. Umbrellas turning inside out when windy. This is due to the Bernoulli's Principle. The wind moving over the top of the umbrella creates a low pressure area, and the higher pressure underneath the umbrella pushes it upwards, causing it to turn inside out.
Step 7 :The phenomena primarily due to Bernoulli's Principle are \(\boxed{\text{Baseballs curving when spinning and Umbrellas turning inside out when windy}}\).