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

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In summary, the conversation is about a physics and algebra problem involving solving for velocity. The formula m * g * h = 0.5 * m * v^2 is discussed and the values for m, g, and h are given. The desired solution is 15m/s, but the person asking for help does not understand how to solve the problem. The expert suggests dividing both sides by m and then isolating v^2 to find the solution.
  • #1
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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  • #2
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?
 
  • #3
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
 
  • #4
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
 

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

What does the equation "m*g*h= 0.5*m*v^2" represent?

The equation represents the principle of conservation of energy, where the potential energy (mgh) is equal to the kinetic energy (0.5mv^2).

How is the equation "m*g*h= 0.5*m*v^2" used in scientific experiments?

The equation is commonly used in experiments involving objects falling under the influence of gravity. It helps calculate the velocity of an object based on its mass, height, and acceleration due to gravity.

What are the units used in the equation "m*g*h= 0.5*m*v^2"?

The units used in the equation are mass (m) measured in kilograms (kg), acceleration due to gravity (g) measured in meters per second squared (m/s^2), height (h) measured in meters (m), and velocity (v) measured in meters per second (m/s).

How does the equation "m*g*h= 0.5*m*v^2" relate to potential and kinetic energy?

The equation shows that the potential energy (mgh) of an object at a certain height is equal to the kinetic energy (0.5mv^2) it possesses when it reaches a certain velocity. It highlights the relationship between these two types of energy and how they can be interconverted.

Can the equation "m*g*h= 0.5*m*v^2" be used in situations without gravity?

No, the equation is specifically for situations involving gravity and cannot be used in situations where gravity does not play a role. In those cases, other equations such as the work-energy theorem may be used to calculate the energy of an object.

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