A positive and a negative charge, each with a magnitude of 3.65 x 10-4 C, are separated by a distance of 0.67 m. Find the force
1 answer:
Answer:
The force on each charge is 2668 N and the direction of force on each charge is towards the other charge. Which means force of attraction is there between the charges.
Step-by-Step Explanation:
Let the two charges be q1 and q2
q1 = 3.65*10^(-4) C
q2 = -3.65*10^(-4) C
Distance = d = 0.67 m
We know that the magnitude of the electric force that a particle exerts on another particle is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Also, opposite charges attract each other.
Let F12 is the force on charge 1 by charge 2.
Let F21 is the force on charge 2 by charge 1.
F12 = F21 = F = kq1*q2/d^2 where k = 8.99*10^(9) N m^2 C^(-2)
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Answer:
The speed of waves on this wire is 329.14 m/s
Explanation:
Given;
tension of the wire, T = 650 N
mass per unit length, μ = 0.06 g /cm = 0.006 kg/m
(convert the unit of mass per length in g/cm to kg/m by dividing by 10 = 0.06 / 10 = 0.006 kg/m)
The speed of waves on this wire is given as;
Therefore, the speed of waves on this wire is 329.14 m/s
1) 9.26 cm
Explanation:
The focal length of a plane mirror is virtually infinite. Considering the lens equation,
where f is the focal length, p is the object distance, q the image distance. If we replace f with infinity, we get
The magnification equation states that
where y is the size of the object and y' the size of the image. Substituting q=-p, we get
this means that the image produced by a plane mirror is always:
- Upright (y' is positive)
- The same size as the object
In this case, we have a book of height 9.26 cm (y=9.26 cm). This means that the magnitude of the size of the image (y') will be 9.26 cm as well.
2) 22.7 cm
As we said before, due to the infinite focal length of a plane mirror,
this means that the image produced by a plane mirror is always:
- Virtual (because q is negative)
- At the same distance from the mirror as the object
In this case, we have a book placed at 22.7 cm from the mirror (p=22.7 cm). This means that the magnitude of the distance of the image from the mirror (q) will be 22.7 cm as well.
3) 1.60 m/s
We said previously that the image produced by a plane mirror is always at the same distance from the mirror as the real object. This implies that whenever we move the object toward/away from the mirror, the distance p will alway remain equal to the distance q. But this also means that the object and the distance are moving toward/away from the mirror at the same speed.
Therefore, since in this case the person is moving away from the mirror at 1.60 m/s, the image will also move away at a speed of 1.60 m/s.