The magnitude of force acting on wire will be 1.90 N and the direction of the force acting on the wire will be 41.9 degrees below the negative y axis.
Explanation:
It is known that the force acting on a current carrying conductor placed in a magnetic field is
Here B is the magnetic field, I is the current flowing through the wire and L is the length of the wire which is given as 44 cm.
Since the wire is bended in the middle at right angle so the length of the two sides of the wire will be 22 cm each. Also one part is lying over z axis and another part lies in the plane of xy in the equation of line y = 2x. So the slope of this wire will be
This will be equal to tan θ.
So θ = tan⁻¹ (2) =63.4°
Then, the length of the wire will be written as components of i, j and k.
Then,
F = I (L × B)
![F = 20.5 (\left[\begin{array}{ccc}i&j&k\\0.098&0.197&-0.22\\0.316&0&0\end{array}\right] )](https://tex.z-dn.net/?f=F%20%3D%2020.5%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C0.098%260.197%26-0.22%5C%5C0.316%260%260%5Cend%7Barray%7D%5Cright%5D%20%29)
The magnitude of force on the wire will be
And the direction can be found by the tan inverse of the ratio of k component to j component of the force.
So the magnitude of force acting on wire will be 1.90 N and the direction of the force acting on the wire will be 41.9 degrees below the negative y axis.
Here we go.
My abbreviations; KE = Kinetic Energy; GPE = Gravitational Potential Energy.
So first off, we know the fish has KE right when the bird releases it. Why? Because it has horizontal velocity after released! So let’s calculate it:
KE = 1/2(m)(V)^2
KE = 1/2(2)(18)^2
KE = 324 J
Nice!
We also know that the fish has GPE at its maximum height before release:
GPE = mgh
GPE = (2)(9.81)(5.40)
GPE = 105.95 J
Now, based on the *queue dramatic voice* LAW OF CONSERVATION OF ENERGY, we know all of the initial energy of the fish will be equal to the amount of final energy. And since the only form of energy when it hits the water is KE, we can write:
KEi + GPEi = KEf
(Remember - we found the initial energies before!)
(324) + (105.95) = KEf
KEf = 429.95J
And that’s you’re final answer! Notice how this value is MORE than the initial KE from before (324 J) - this is because all of the initial GPE from before was transformed into more KE as the fish fell (h decreased) and sped up (V increased).
If this helped please like it and comment!
The answer is A because it describes both toy cars
<span>Agricultural waste used as a fuel is an example of biofuels, there already different kinds of biofuels that came from agricultural waste, the most common are the biogas and bioethanol. biogas are produce when agricultural waste such as poultry manures and grassy waste are fermented to create biogas. while biothanol uses sugar rich agricultural waste to make ethanol</span>
Because the atoms and molecules all have different properties
