Rearranging formulas is all about simple algebra rules. Just like when solving for x in an equation, you're just isolating whichever variable you want. I'll work this one out for you and hopefully it'll help, but if you need more explanation, then feel free to comment!
D = ViT + 0.5at² Subtract ViT from both sides
D - ViT = 0.5at² Divide both sides by 0.5t²
I wrote this step out a little more to show how your fraction will cancel
= a I like to flip these around so the single variable is on the right
a = ![\frac{D - ViT}{0.5t^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7BD%20-%20ViT%7D%7B0.5t%5E%7B2%7D%20%7D%20)
Steel is more dense because it’s heavy while water is light
Answer : The final temperature is, ![25.0^oC](https://tex.z-dn.net/?f=25.0%5EoC)
Explanation :
In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.
![q_1=-q_2](https://tex.z-dn.net/?f=q_1%3D-q_2)
![m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)](https://tex.z-dn.net/?f=m_1%5Ctimes%20c_1%5Ctimes%20%28T_f-T_1%29%3D-m_2%5Ctimes%20c_2%5Ctimes%20%28T_f-T_2%29)
where,
= specific heat of ice = ![2.09J/g^oC](https://tex.z-dn.net/?f=2.09J%2Fg%5EoC)
= specific heat of water = ![4.18J/g^oC](https://tex.z-dn.net/?f=4.18J%2Fg%5EoC)
= mass of ice = 50 g
= mass of water = 200 g
= final temperature = ?
= initial temperature of ice = ![-15^oC](https://tex.z-dn.net/?f=-15%5EoC)
= initial temperature of water = ![30^oC](https://tex.z-dn.net/?f=30%5EoC)
Now put all the given values in the above formula, we get:
![50g\times 2.09J/g^oC\times (T_f-(-15))^oC=-200g\times 4.184J/g^oC\times (T_f-30)^oC](https://tex.z-dn.net/?f=50g%5Ctimes%202.09J%2Fg%5EoC%5Ctimes%20%28T_f-%28-15%29%29%5EoC%3D-200g%5Ctimes%204.184J%2Fg%5EoC%5Ctimes%20%28T_f-30%29%5EoC)
![T_f=25.0^oC](https://tex.z-dn.net/?f=T_f%3D25.0%5EoC)
Therefore, the final temperature is, ![25.0^oC](https://tex.z-dn.net/?f=25.0%5EoC)
Personality test is aimed at being able to decipher the nature of human personality. The opposite of judging in a personality test is prospecting.
<h3>What is a personality test?</h3>
The term personality test is aimed at being able to decipher the nature of human personality through a Personalities Test.
In this personality test different personality types have their respective opposites. The opposite of judging in a personality test is prospecting.
Learn more about personality test: brainly.com/question/8789865