Answer:
To solve the equation K = 12mv^2 for m, we need to isolate the variable m. Here's how you can do it step-by-step:
1. Start with the given equation: K = 12mv^2.
2. Divide both sides of the equation by 12v^2 to isolate m. This gives us: K / (12v^2) = m.
So, the solution to the equation K = 12mv^2 for m is m = K / (12v^2).
Let's understand this with an example:
Suppose you have a kinetic energy value of K = 100 J (joules) and the velocity value v = 5 m/s (meters per second).
To find the value of m, we substitute these values into the equation m = K / (12v^2):
m = 100 J / (12 * (5 m/s)^2)
m = 100 J / (12 * 25 m^2/s^2)
m = 100 J / 300 m^2/s^2
m ≈ 0.333 J/m^2/s^2
So, in this example, m is approximately equal to 0.333 J/m^2/s^2.
Explanation:
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