Answer:
The change in temperature is
Explanation:
From the question we are told that
The temperature coefficient is 
The resistance of the filament is mathematically represented as
![R = R_o [1 + \alpha \Delta T]](https://tex.z-dn.net/?f=R%20%20%3D%20%20R_o%20%5B1%20%2B%20%5Calpha%20%20%5CDelta%20T%5D)
Where
is the initial resistance
Making the change in temperature the subject of the formula
![\Delta T = \frac{1}{\alpha } [\frac{R}{R_o} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BR%7D%7BR_o%7D%20-%201%20%5D)
Now from ohm law

This implies that current varies inversely with current so

Substituting this we have
![\Delta T = \frac{1}{\alpha } [\frac{I_o}{I} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7BI%7D%20-%201%20%5D)
From the question we are told that

Substituting this we have
![\Delta T = \frac{1}{\alpha } [\frac{I_o}{\frac{I_o}{8} } - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7B%5Cfrac%7BI_o%7D%7B8%7D%20%7D%20-%201%20%5D)
=> 
Answer:
The tension is 
The horizontal force provided by hinge 
Explanation:
From the question we are told that
The mass of the beam is
The length of the beam is 
The hanging mass is 
The length of the hannging mass is 
The angle the cable makes with the wall is 
The free body diagram of this setup is shown on the first uploaded image
The force
are the forces experienced by the beam due to the hinges
Looking at the diagram we ca see that the moment of the force about the fixed end of the beam along both the x-axis and the y- axis is zero
So

Now about the x-axis the moment is

=> 
Substituting values


Now about the y-axis the moment is

Now the torque on the system is zero because their is no rotation
So the torque above point 0 is





The horizontal force provided by the hinge is

Now substituting for T


Answer:
Explained
Explanation:
Lunar mountains are smoothly rounded rather than having sharp, pointed peaks because the lunar moons are formed because of the impact of asteroids and comets on its surface whereas the Earth mountains are formed because of the surface activity of volcanos, collision of land masses and activity of plate tectonics that is why they have sharp and pointed tops.
1)Typically, atom gain or lose electrons to achieve
I believe the correct answer from the choices listed is option C, a stable electron configuration
2)The formation of an ionic bond involves
I believe the correct answer is A, transfer of electrons since it is electrons that is involved in a chemical reaction.