Final answer:
The destiny of the ball, the water, and the marble involve physics concepts such as gravity, air resistance, and kinetic energy, which dictate how they move and interact with their environment.
Step-by-step explanation:
The destiny of the ball, the water, and the marble in these experiments relates to the principles of physics, particularly gravity, air resistance, and kinetic energy.
In the Take-Home Experiment, if you drop a marble, a ball, and a spoon from the same height, under ideal conditions without air resistance, they should hit the ground at the same time. This demonstrates the principle that the acceleration due to gravity is constant for all objects, regardless of their mass. However, if you also drop a piece of paper, it will likely fall slower due to air resistance affecting its motion.
Performing the experiment with a steel marble and comparing it to a glass one showcases how, in this case, their velocities can be impacted by their different masses only if friction or other forces are present, as gravity alone will not cause a difference. When dealing with the marble in a semicircular bowl, the marble's kinetic energy determines if it can escape the bowl or is trapped by potential energy barriers.
A ball in a Ball Machine sculpture, would have kinetic energy that changes as it moves through the machine, depending on its interactions with various objects. Lastly, a marble in a bowl rolling in simple harmonic motion (SHM) will go back and forth, with its kinetic energy converting to potential energy at the peaks of its motion.