How Do You Solve for Velocity in the Equation m*g*h = 0.5*m*v^2?

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SUMMARY

The discussion centers on solving the equation m*g*h = 0.5*m*v^2, where m is 20*10^-3 kg, g is 9.81 m/s², and h is 11 m. The solution for v² is derived as 15 m/s. Participants emphasize the importance of basic algebra skills in solving physics problems, specifically highlighting the need to isolate the variable v² by dividing both sides by m and manipulating the equation accordingly. The conversation serves as a reminder that foundational knowledge in algebra is crucial for success in physics.

PREREQUISITES
  • Basic algebra skills
  • Understanding of physics concepts related to energy and motion
  • Familiarity with the equation of motion
  • Knowledge of units of measurement (e.g., kg, m/s²)
NEXT STEPS
  • Review algebraic manipulation techniques
  • Study the principles of conservation of energy in physics
  • Learn how to isolate variables in equations
  • Explore introductory physics resources focusing on kinematics
USEFUL FOR

This discussion is beneficial for high school students studying physics, educators teaching introductory physics, and anyone seeking to strengthen their algebra skills in the context of physical equations.

sweet_betty
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i am not sure if its the right place to post this thread

m * g * h = 0.5 * m * v^2

m= 20*10^-3
g= 9.81
h= 11

20*10^-3 * 9.81 * 11 = 0.5 * 20*10^-3 * ?

i have to solve V^2

the answer is 15m/s...

thanks a lot
 
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This'll probably be moved pretty quick, but for reference this is mathematically an algebra level problem, and obviously an intro physics problem, so either intro physics or whatever the lower math one is, certainly not calculus and beyond though

With that said: Do you know ANY algebra? If not, this isn't the place to learn it and you might want to mention that to your teacher 'cuz you'll fail a high school physics course without at least a basic knowledge of it. I ask 'cuz you didn't show any work besides just plugging in the numbers, so I can only assume you don't know where to start

If you're just rusty or perhaps overthinking it painfully, just remember it's basic algebra. Before you even plug in the numbers you can divide both sides by m, making them cancel and leaving g*h=.5*v^2

Do you have any idea what to do after that?
 
g*h=.5*v^2

Do you have any idea what to do after that?


no not at all so?
yeah man i don't know all that so i asked it if someone can explain how it works
if you do not want to help please leave it thanks
 
Helping's peachy but we're not going to do it for you outright

The goal of this, and most similar math problems, is to get the variable, the thing you want to find, by itself on one side. What can you divide both sides by to get the v^2 by itself? Once you have v^2=stuff you can do something else to both sides to get just v
 

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