Answer:
We need about 8769 meters of wire to produce a 2.6 kilogauss magnetic field.
Explanation:
Recall the formula for the magnetic field produced by a solenoid of length L. N turns, and running a current I:
![B=\mu_0\,\frac{N}{L} \,I](https://tex.z-dn.net/?f=B%3D%5Cmu_0%5C%2C%5Cfrac%7BN%7D%7BL%7D%20%5C%2CI)
So, in our case, where B = 2.6 KG = 0.26 Tesla; I is 3 amperes, and L = 0.57 m, we can find what is the number of turns needed;
![B=\mu_0\,\frac{N}{L} \,I\\0.26=4\,\pi\,10^{-7}\frac{N}{0.57} \,3\\N=\frac{0.26*0.57\,10^7}{12\,\pi} \\N=39311.27](https://tex.z-dn.net/?f=B%3D%5Cmu_0%5C%2C%5Cfrac%7BN%7D%7BL%7D%20%5C%2CI%5C%5C0.26%3D4%5C%2C%5Cpi%5C%2C10%5E%7B-7%7D%5Cfrac%7BN%7D%7B0.57%7D%20%5C%2C3%5C%5CN%3D%5Cfrac%7B0.26%2A0.57%5C%2C10%5E7%7D%7B12%5C%2C%5Cpi%7D%20%5C%5CN%3D39311.27)
Therefore we need about 39312 turns of wire. Considering that each turn must have a length of
, where D is the diameter of the plastic cylindrical tube, then the total length of the wire must be:
![Length=39312\,(\pi\,D)=39312\,(\pi\,0.071)\approx 8768.66\,\,m](https://tex.z-dn.net/?f=Length%3D39312%5C%2C%28%5Cpi%5C%2CD%29%3D39312%5C%2C%28%5Cpi%5C%2C0.071%29%5Capprox%208768.66%5C%2C%5C%2Cm)
We can round it to about 8769 meters.
Answer:
320 N/m
Explanation:
From Hooke's law, we deduce that
F=kx where F is applied force, k is spring constant and x is extension or compression of spring
Making k the subject of formula then
![k=\frac {F}{x}](https://tex.z-dn.net/?f=k%3D%5Cfrac%20%7BF%7D%7Bx%7D)
Conversion
1m equals to 100cm
Xm equals 25 cm
25/100=0.25 m
Substituting 80 N for F and 0.25m for x then
![k=\frac {80}{0.25}=320N/m](https://tex.z-dn.net/?f=k%3D%5Cfrac%20%7B80%7D%7B0.25%7D%3D320N%2Fm)
Therefore, the spring constant is equal to 320 N/m
Answer:
N = 6.67 N
Explanation:
The frictional or frictional force is a force that arises from the contact of two bodies and opposes movement.
The friction is due to imperfections and roughness, mainly microscopic, that exist on the surfaces of the bodies. Upon contact, these roughnesses engage with each other making movement difficult. To minimize the effect of friction, either the surfaces are polished or lubricated, since the oil fills the imperfections, preventing them from snagging.
As the frictional force depends on the materials and the force exerted on one another, its magnitude is obtained by the following expression:
f = μ*N Formula (1)
where:
f is the friction force (N)
μ is the coefficient of friction
N is the normal force (N)
Data
f = 0.2 N : frictional force between the steel spatula and the Oiled Steel frying pan
μ = 0.03 :coefficient of kinetic friction between the two materials
Calculating of normal force
We replace data in the formula (1)
f = μ*N
0.2 = 0.03*N
N = 0.2 / 0.03
N = 6.67 N
Total internal reflection complete reflection of a ray of light within a medium such as water or glass from the surrounding surfaces back into the medium. The phenomenon occurs if the angle of incidence is greater than a certain limiting angle, called the critical angle.