Answer:F/L = μ0*I²/2πd
Explanation:
Both wires carries current of the value (I) and are separated by the distance (d).
The length of both wires is (L).
The first wire creates a magnetic field of the magnitude according to Bio-savart law
B=(Uo * I)/2πd
This magnetic field has the ability to exert a force F on the second wire.
This force (F) is given as
F=BIL* sin θ
θ here is 90 because the magnetic field is perpendicular to the length of the second wire.
Thus the value of sin 90 = 1
Hence F= BIL
But B=(Uo * I)/2πd.
We have that F= B=[(Uo * I)/2πd] x IL
Thus we have that F= [Uo* I²/2πd] x L
By rearranging, and bringing L to the left hand side of the equation, we have that
F/L = [Uo* I²/2πd]
:
change in potential energy , ∆Ep = 156.8Joules
Explanation:
Given;
Mass of object , m = 2.0 kg
Heights ; h₂ = 5.0m
h₁ = - 3.0m
To obtain
the change in potential energy, ∆Ep = ?
But,
∆Ep = mg∆h
Where;
m is the mass of the object (kg)
∆h = h₂ - h₁ is the change in height (m)
g is the acceleration due to gravity ( 9.80 m/s²)
Therefore,
the change in potential energy, ∆Ep = 2.0 × 9.80 × ( 5 - (- 3))
=156.8 joules
Answer:
C. Y
Explanation:
From Newton's second law of motion, we know that:
Force = mass x acceleration
So;
acceleration = 
Therefore, to have the highest acceleration at a constant force, the mass must be low. Acceleration is inversely proportional to mass.
Y has the least mass and it will have the highest acceleration
Index of refraction can be calculated using the following formula:
where 
in a vacuum and "n" is the index of refraction. So we must calculate our velocity by manipulating the index of refraction formula and isolate v and so:
We could go one by one and calculate the velocity or use logic. If you divide by a larger number the output will be a smaller number. Therefore, the answer would be n=1.62 is the slowest.
By that logic when n=1 light would travel the fastest of these four scenarios. The key thing to understand about these problems is that the speed of light slows down as it goes through a medium, in a vacuum it's 3 x 10^ 8 m/s but as it goes through say air or water light slows down.
