The magnitude of Alioth ( the brightest star in the big dipper ) is 1.76 and it is about 81 light years distant from Earth.
Answer:
For the complete question provided in explanation, if the elevator moves upward, then the apparent weight will be 1035 N. While for downward motion the apparent weight will be 435 N.
Explanation:
The question is incomplete. The complete question contains a velocity graph provided in the attachment. This is the velocity graph for an elevator having a passenger of 75 kg.
From the slope of graph it is clear that acceleration at t = 1 sec is given as:
Acceleration = a = (4-0)m/s / (1-0)s = 4 m/s^2
Now, there are two cases:
1- Elevator moving up
2- Elevator moving down
For upward motion:
Apparent Weight = m(g + a)
Apparent Weight = (75 kg)(9.8 + 4)m/s^2
<u>Apparent Weight = 1035 N</u>
For downward motion:
Apparent Weight = m(g - a)
Apparent Weight = (75 kg)(9.8 - 4)m/s^2
<u>Apparent Weight = 435 N</u>
Explanation:
Given that,
Radius R= 2.00
Charge = 6.88 μC
Inner radius = 4.00 cm
Outer radius = 5.00 cm
Charge = -2.96 μC
We need to calculate the electric field
Using formula of electric field
![E=\dfrac{kq}{r^2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bkq%7D%7Br%5E2%7D)
(a). For, r = 1.00 cm
Here, r<R
So, E = 0
The electric field does not exist inside the sphere.
(b). For, r = 3.00 cm
Here, r >R
The electric field is
![E=\dfrac{kq}{r^2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bkq%7D%7Br%5E2%7D)
Put the value into the formula
![E=\dfrac{9\times10^{9}\times6.88\times10^{-6}}{(3.00\times10^{-2})^2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B9%5Ctimes10%5E%7B9%7D%5Ctimes6.88%5Ctimes10%5E%7B-6%7D%7D%7B%283.00%5Ctimes10%5E%7B-2%7D%29%5E2%7D)
![E=6.88\times10^{7}\ N/C](https://tex.z-dn.net/?f=E%3D6.88%5Ctimes10%5E%7B7%7D%5C%20N%2FC)
The electric field outside the solid conducting sphere and the direction is towards sphere.
(c). For, r = 4.50 cm
Here, r lies between R₁ and R₂.
So, E = 0
The electric field does not exist inside the conducting material
(d). For, r = 7.00 cm
The electric field is
![E=\dfrac{kq}{r^2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bkq%7D%7Br%5E2%7D)
Put the value into the formula
![E=\dfrac{9\times10^{9}\times(-2.96\times10^{-6})}{(7.00\times10^{-2})^2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B9%5Ctimes10%5E%7B9%7D%5Ctimes%28-2.96%5Ctimes10%5E%7B-6%7D%29%7D%7B%287.00%5Ctimes10%5E%7B-2%7D%29%5E2%7D)
![E=5.43\times10^{6}\ N/C](https://tex.z-dn.net/?f=E%3D5.43%5Ctimes10%5E%7B6%7D%5C%20N%2FC)
The electric field outside the solid conducting sphere and direction is away of solid sphere.
Hence, This is the required solution.