The widely accepted hypothesis before that turned out wrong was the Earth-Centered theory or the Geocentric Theory. This was proposed by the philosopher Ptolemy. He came about to this hypothesis from hi observation that from the Earth's perspective, the celestial bodies like the Sun, stars and the moon, look like they rotate around the Earth each day and night. However, this was disproved by Galileo Galelei by his Heliocentric Theory. He observed through the telescope that the Venus also changes phases like the moon. However, he deduced that this is not possible from the positions of the Venus, Earth, Moon and Sun.
To develop this problem it is necessary to apply the concepts given in the balance of forces for the tangential force and the centripetal force. An easy way to detail this problem is through a free body diagram that describes the behavior of the body and the forces to which it is subject.
PART A) Normal Force.
![F_n = \frac{mv^2}{r}](https://tex.z-dn.net/?f=F_n%20%3D%20%5Cfrac%7Bmv%5E2%7D%7Br%7D)
![N+mgcos\theta = \frac{mv^2}{r}](https://tex.z-dn.net/?f=N%2Bmgcos%5Ctheta%20%3D%20%5Cfrac%7Bmv%5E2%7D%7Br%7D)
Here,
Normal reaction of the ring is N and velocity of the ring is v
![N+mgcos\theta = \frac{mv^2}{r}](https://tex.z-dn.net/?f=N%2Bmgcos%5Ctheta%20%3D%20%5Cfrac%7Bmv%5E2%7D%7Br%7D)
![N+Wcos\theta = \frac{W}{g} (\frac{v^2}{r})](https://tex.z-dn.net/?f=N%2BWcos%5Ctheta%20%3D%20%5Cfrac%7BW%7D%7Bg%7D%20%28%5Cfrac%7Bv%5E2%7D%7Br%7D%29)
![N+2cos30\° = \frac{2}{32.2}*\frac{10^2}{2}](https://tex.z-dn.net/?f=N%2B2cos30%5C%C2%B0%20%3D%20%5Cfrac%7B2%7D%7B32.2%7D%2A%5Cfrac%7B10%5E2%7D%7B2%7D)
![N = 1.374lb](https://tex.z-dn.net/?f=N%20%3D%201.374lb)
PART B) Acceleration
![F_t = ma_t](https://tex.z-dn.net/?f=F_t%20%3D%20ma_t)
![-mgsin\theta = ma_t](https://tex.z-dn.net/?f=-mgsin%5Ctheta%20%3D%20ma_t)
![-W sin\theta = \frac{W}{g} a_t](https://tex.z-dn.net/?f=-W%20sin%5Ctheta%20%3D%20%5Cfrac%7BW%7D%7Bg%7D%20a_t)
![-2Sin30\° = (\frac{2}{32.2})a_t](https://tex.z-dn.net/?f=-2Sin30%5C%C2%B0%20%3D%20%28%5Cfrac%7B2%7D%7B32.2%7D%29a_t)
![a_T = -16.10ft/s^2](https://tex.z-dn.net/?f=a_T%20%3D%20-16.10ft%2Fs%5E2)
Negative symbol indicates deceleration.
<em>NOTE: For the problem, the graph in which the turning radius and the angle of suspension was specified was not supplied. A graphic that matches the description given by the problem is attached.</em>
<u>Answer:</u>
<h3>During wet and freezing temperatures, ice is able to form at a faster pace on bridges because freezing winds blow from above and below and both sides of the bridge, causing heat to quickly escape. The road freezes slower because it is merely losing heat through its surface.</h3>
<u>Sources:</u>
-- https://intblog.onspot.com/en-us/why-do-bridges-become-icy-before-roads
and
-- https://www.accuweather.com/en/accuweather-ready/why-bridges-freeze-before-roads/687262
I hope this helps you! ^^
Because it gives us the abilitity to find planets that have decent temperatures relative to earths temp so we can determine if the planet even has a possiblilty to sustain life hope this helps
Explanation:
Michael should put the vase at the bottom of the shelf to reduce the potential energy because the height of the vase to the floor is nearly zero.