May the Force be Greater!

Kualoa Ranch is a great place to spend a weekend. I recently spent two nights and three days on a campsite overlooking Kaneohe Bay. It was nice and peaceful. The sound of the wave lapping the shoreline, along with trees known for making the crisp sounds of rain drops. Many of my friends including myself were not very fond of the stray cats or random mongoose sightings as we thought it might peruse our food supply or even sneak into our tents while we sleep, which a mongoose attempted during the daytime.

My friends thought it would have been interesting to see if they could catch a mongoose. With a beautiful plan conjured in their immature minds, they put together a simple trap that I thought no mongoose would fall for. But as you can see in the picture this mongoose did. Newton’s second law states F=ma: Force = (mass)(acceleration).

Unfortunately to my friends, the trap was too slow in comparison to the nimbleness of this mongoose, as it took the bait and ran off with it (The after picture has no mongoose inside:). I predict that if we had taken the time to calculate the Force needed based on the mass of a object times the constant acceleration due to gravity, we could have had a better chance of catching that mongoose. Or we could have obtained a larger box of more surface area with the same mass and this would have accounted for the distance that the mongoose could cover in the time it took the box to fall. But in any case we were unsuccessful. As Boy Scouts we were not prepared for this endeavor as we did not have the proper equipment to mass objects. Some day stop buy Kualoa Ranch and camp, it is beautiful!

Advertisements

Projectiles to the Wall

Although I was practicing vigorously on my ping pong player skills, I was also contemplating how to show my view of projectile motion. Without knowing it struck me, I had hit the ball too hard and it hit me in my chin. But more importantly, I had an idea to bounce that same ball against a wall and merge the jpegs together to form an overlapping photo with the path well defined. I also attempted to depict mulitple balls but the overlapping confused me of their paths.

It is common knowledge that a ball’s path can be projected graphically. But when thought about mathematically, it seems complicated, but it is not. Remember one variable. Acceleration due to gravity on Earth is generally -9.8 meters per second per second. Another thing to keep in mind is that his motion is seperate, the x and y components are distinct. The horizontal x component has a constant motion forward to the wall and away, and a specific distance covered. The vertical y component, completely independent of x, is constantly affected by gravity, thus having a changing y velocity. With all of these components one can find the magnitude and direction of my projectile. But I will leave that problem for the reader. Enjoy!

Kinematics on Pills

Chinese interpretation of an Otis Elevator?

On my Root-seeking Trip to China, we split ourselves into groups with the local students. In these groups we ventured to various local sites, which were common activities in their daily lives. One of these places had been Lihue Mall.The fascinating parts of the mall included the dome top of the mall and the upward/downward sloping FLAT escalators (like the walking escalators one might see in an airport, but sloping), yet the greatest oddity of the mall were the pill shaped elevators. They were different from the typical cubes and prisms we see in our bustling malls.Both pills began at the bottom, but the left pill had taken in more passengers and delaying its ascents were parts of my group and the local student group. Each pill ascended, but both would end up having the same zero displacement in the end as it is on a fixed cable. But neither of them had the same average velocity, which I noticed when both ascended and did not keep the same distance between them.Now that I recall this event, the groups were heading to the top most floor, where we all (I joined later) enjoyed the large arcade room.