Answer:
5.5 km
Explanation:
First, we convert the distance from km/h to m/s
910 * 1000/3600
= 252.78 m/s
Now, we use the formula v²/r = gtanθ to get our needed radius
making r the subject of the formula, we have
r = v²/gtanθ, where
r = radius of curvature needed
g = acceleration due to gravity
θ = angle of banking
r = 252.78² / (9.8 * tan 50)
r = 63897.73 / (9.8 * 1.19)
r = 63897.73 / 11.662
r = 5479 m or 5.5 km
Thus, we conclude that the minimum curvature radius needed for the turn is 5.5 km
Answer:
a. They will be tie
b. Win the wood cylinder
Explanation:
a.
The both cylinders will reach the bottom at the same time notice the relation in the equation in indepent of the length and both have the same radius and the same rotational inertia.
![I=\frac{1}{2}*m*r^2](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B2%7D%2Am%2Ar%5E2)
![a=\frac{g*sin(\beta)}{1+I_{com}/m*r^2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bg%2Asin%28%5Cbeta%29%7D%7B1%2BI_%7Bcom%7D%2Fm%2Ar%5E2%7D)
So both will be tie
b.
![a_{brass}=\frac{g*sin(\beta)}{1+I_{brass}/m*r^2}=a_{wood}=\frac{g*sin(\beta)}{1+I_{wood}/m*r^2}](https://tex.z-dn.net/?f=a_%7Bbrass%7D%3D%5Cfrac%7Bg%2Asin%28%5Cbeta%29%7D%7B1%2BI_%7Bbrass%7D%2Fm%2Ar%5E2%7D%3Da_%7Bwood%7D%3D%5Cfrac%7Bg%2Asin%28%5Cbeta%29%7D%7B1%2BI_%7Bwood%7D%2Fm%2Ar%5E2%7D)
The acceleration of the wood cylinder is larger than the acceleration of the brass cylinder so the cylinder of wood will reach the bottom first
![a_{brass}](https://tex.z-dn.net/?f=a_%7Bbrass%7D%3Ca_%7Bwood%7D)
So the wood win the race
In reality we don't see the galaxy we see it's reflection .. the light hits or got emitted by the star travel all the way long to hit our eyes .. we see their reflection . everything around you that you see is it's reflection
Answer:
B. - 0.328
Explanation
Potential Energy:<em> This is the energy of a body due to position.</em>
<em>The S.I unit of potential energy is Joules (J).</em>
<em>It can be expressed mathematically as</em>
<em>Ep = mgh........................... Equation 1</em>
<em>Where Ep = potential energy, m = mass of the coin, h = height, g = acceleration due to gravity,</em>
<em>Given: m = 2.74 g = 0.00274 kg, h = 12.2 m, g = 9.8 m/s²</em>
Substituting these values into equation 1
Ep = 0.00274×12.2×9.8
Ep = 0.328 J.
Note: Since the potential energy at the surface is zero, the potential Energy with respect to the surface = -0.328 J
The right option is B. - 0.328
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Answer:
Night vision is the ability to see in low-light conditions. Whether by biological or technological means, night vision is made possible by a combination of two approaches: sufficient spectral range, and sufficient intensity range.