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>
Answer:
Intensity of the light (first polarizer) (I₁) = 425 W/m²
Intensity of the light (second polarizer) (I₂) = 75.905 W/m²
Explanation:
Given:
Unpolarized light of intensity (I₀) = 950 W/m²
θ = 65°
Find:
a. Intensity of the light (first polarizer)
b. Intensity of the light (second polarizer)
Computation:
a. Intensity of the light (first polarizer)
Intensity of the light (first polarizer) (I₁) = I₀ / 2
Intensity of the light (first polarizer) (I₁) = 950 / 2
Intensity of the light (first polarizer) (I₁) = 425 W/m²
b. Intensity of the light (second polarizer)
Intensity of the light (second polarizer) (I₂) = (I₁)cos²θ
Intensity of the light (second polarizer) (I₂) = (425)(0.1786)
Intensity of the light (second polarizer) (I₂) = 75.905 W/m²
Answer:
ill get back to this question once i get the answer
Potential energy is first transformed into kinetic energy as she pedals, then gravitational as she coasts down the hill.
Answer:
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Explanation:
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