The correct answer is - federal government system.
Even though all of the countries in the European Union are separate countries and they all have their own governments, still the European Union has authority over them. The European Union has its own parliament, and one of the main conditions for every country member is that it obliges to respect and implement the decisions of this parliament, thus losing little of their sovereignty in the process. This is pretty much the same principle used in the federal government systems, where all states have their own leaders and have big authority in their own borders, but also have to obey the commands and decisions of the central government.
Answer:
56 J
Explanation:
The following data were obtained from the question:
Energy 1 (E₁) = 7 J
Extention 1 (e₁) = 1.8 cm
Extention 2 (e₂) = 1.8 + 3.6 = 5.4 cm
Energy 2 (E₂) =?
Energy stored in a spring is given by the following equation:
E = ke²
Where E is the energy.
K is the spring constant.
e is the extension.
E = ke²
Divide both side by e²
K = E/e²
Thus,
E₁/e₁² = E₂/e₂²
7/ 1.8² = E₂/ 5.4²
7 / 3.24 = E₂/ 29.16
Cross multiply
3.24 × E₂ = 7 × 29.16
3.24 × E₂ = 204.12
Divide both side by 3.24
E₂ = 204.12 / 3.24
E₂ = 63 J
Thus, the additional energy required can be obtained as follow:
Energy 1 (E₁) = 7 J
Energy 2 (E₂) = 63 J
Additional energy = 63 – 7
Additional energy = 56 J
The answer is A. Solids have both definite shape and denfinite volume.
Answer:
(-6,8)
Explanation:
Since v has direction as u, it must be a multiple n of u.
![\sqrt{(-3n)^+(4n)^2}=10\\9n^2+16N^2 =100\\n^2=4\\n=2](https://tex.z-dn.net/?f=%5Csqrt%7B%28-3n%29%5E%2B%284n%29%5E2%7D%3D10%5C%5C9n%5E2%2B16N%5E2%20%3D100%5C%5Cn%5E2%3D4%5C%5Cn%3D2)
therefore v = (3×2, 4×2) = (-6,8)
Answer:
6. Acceleration = 4.74 m/s^2
7. Centripetal force = 40.5 N
Explanation:
Problem 6.
Recall that the centripetal acceleration is defined as:
, where V is the object's tangential velocity, and r the radius of the circular motion. Therefore, in or case, the centripetal acceleration would be:
![a_c=\frac{v^2}{r}\\a_c=\frac{3.77^2}{3}\,\frac{m}{s^2} \\a_c=4.7376 \frac{m}{s^2}](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D%5C%5Ca_c%3D%5Cfrac%7B3.77%5E2%7D%7B3%7D%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%5C%5Ca_c%3D4.7376%20%5Cfrac%7Bm%7D%7Bs%5E2%7D)
which we can round to 4.74 m/s^2 (option b in your list)
Problem 7.
Now we need to find not just the centripetal acceleration using the same formula as above, but then the centripetal force.
![a_c=\frac{v^2}{r}\\a_c=\frac{4.5^2}{2.5}\,\frac{m}{s^2} \\a_c=8.1 \frac{m}{s^2}](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D%5C%5Ca_c%3D%5Cfrac%7B4.5%5E2%7D%7B2.5%7D%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%5C%5Ca_c%3D8.1%20%5Cfrac%7Bm%7D%7Bs%5E2%7D)
Now we calculate the centripetal force by multiplying this acceleration times the mass of the object following the definition of force as mass times acceleration:
Centripetal force = 5.0 kg * 8.1 m/s^2 = 40.5 N
The answers comes in Newtons (N)