To solve for v in the equation M = 2rg^4 -
3rv, we can rearrange the equation to
isolate v on one side.
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First, let's move the term -3rv to the other
side of the equation by adding 3rv to both
sides:
M + 3rv = 2rg^4
Next, we can isolate v by dividing both
sides of the equation by 3r:
(M + 3rv) / (3r) = 2rg^4 / (3r)
Simplifying the right side of the equation,
we have:
(M + 3rv) / (3r) = (2g^4) / 3
Now, to solve for v, we need to get rid of
the fraction on the left side of the
equation. We can do this by multiplying
both sides of the equation by (3r):
(3r) * [(M + 3rv) / (3r)] = (3r) * [(2g^4) / 3]
On the left side, the (3r) terms cancel out:
M + 3rv = (2g^4) * r
Finally, we can isolate v by subtracting M
from both sides of the equation:
M + 3rv - M = (2g^4) * r - M
Simplifying further, we have:
3rv = (2g^4) * r - M
To solve for v, divide both sides of the
equation by 3r:
(3rv) / (3r) = ((2g^4) * r - M1 / (3r)
The (3r) terms cancel out on the left side:
V= [(2g^4) * r - M] / (3r)
Therefore, the solution for v in the
equation M = 2rg^4 - 3rv is:
V= [(2g^4) * r - MT / (3r)
Remember to substitute the given values
of M, g, and r into the equation to find the
specific value of v.