According to the Jefferson lab, "The scientific definition of work is: using a force to move an object a distance (when both the force and the motion of the object are in the same direction.)"
Answer:
The magnitude of the acceleration is equal to 19.6m/s² and the acceleration is directed upwards though the magnitude of the charge has doubled. This is because the electric force is directed upwards and from newton's second law of motion the charge will have acceleration in the same direction as the electric force on the charge.
Explanation:
The detailed solution can be found in the attachment below.
Thank you for reading and I hope this is helpful to you.
Answer:
2.84 m/s
Explanation:
At the top position of the circular trajectory, the normal reaction is zero:
N = 0
So it means that the only force that is providing the centripetal force is the gravitational force (the weight of the bucket). Therefore we have:
![mg = m \frac{v^2}{r}](https://tex.z-dn.net/?f=mg%20%3D%20m%20%5Cfrac%7Bv%5E2%7D%7Br%7D)
where
m is the mass of the water bucket
g = 9.8 m/s^2 is the acceleration of gravity
v is the speed of the bucket
r = 0.824 m is the radius of the circle
Solving for v,
![v=\sqrt{gr}=\sqrt{(9.8 m/s^2)(0.824 m)}=2.84 m/s](https://tex.z-dn.net/?f=v%3D%5Csqrt%7Bgr%7D%3D%5Csqrt%7B%289.8%20m%2Fs%5E2%29%280.824%20m%29%7D%3D2.84%20m%2Fs)
Answer:
(a) A = ![3.90 \AA](https://tex.z-dn.net/?f=3.90%20%5CAA)
(b) ![A = 4.50 \AA](https://tex.z-dn.net/?f=A%20%3D%204.50%20%5CAA)
(c) ![A = 5.51 \AA](https://tex.z-dn.net/?f=A%20%3D%205.51%20%5CAA)
(d) ![A = 9.02 \AA](https://tex.z-dn.net/?f=A%20%3D%209.02%20%5CAA)
Solution:
As per the question:
Radius of atom, r = 1.95
Now,
(a) For a simple cubic lattice, lattice constant A:
A = 2r
A = ![2\times 1.95 = 3.90 \AA](https://tex.z-dn.net/?f=2%5Ctimes%201.95%20%3D%203.90%20%5CAA)
(b) For body centered cubic lattice:
![A = \frac{4}{\sqrt{3}}r](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B4%7D%7B%5Csqrt%7B3%7D%7Dr)
![A = \frac{4}{\sqrt{3}}\times 1.95 = 4.50 \AA](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B4%7D%7B%5Csqrt%7B3%7D%7D%5Ctimes%201.95%20%3D%204.50%20%5CAA)
(c) For face centered cubic lattice:
![A = 2{\sqrt{2}}r](https://tex.z-dn.net/?f=A%20%3D%202%7B%5Csqrt%7B2%7D%7Dr)
![A = 2{\sqrt{2}}\times 1.95 = 5.51 \AA](https://tex.z-dn.net/?f=A%20%3D%202%7B%5Csqrt%7B2%7D%7D%5Ctimes%201.95%20%3D%205.51%20%5CAA)
(d) For diamond lattice:
![A = 2\times \frac{4}{\sqrt{3}}r](https://tex.z-dn.net/?f=A%20%3D%202%5Ctimes%20%5Cfrac%7B4%7D%7B%5Csqrt%7B3%7D%7Dr)
![A = 2\times \frac{4}{\sqrt{3}}\times 1.95 = 9.02 \AA](https://tex.z-dn.net/?f=A%20%3D%202%5Ctimes%20%5Cfrac%7B4%7D%7B%5Csqrt%7B3%7D%7D%5Ctimes%201.95%20%3D%209.02%20%5CAA)
Answer:
Light is one of nature's ways of moving energy from one place to another.
Explanation:
It has no substance, or mass. How does light travel? Light behaves like a traveling wave, something like waves in a string or on the surface of water.