Answer:
v = sqrt((10/7)gh)
Step-by-step explanation:
The given equation is:
mgh = (1/2)mv^2 + (1/5)mv^2
To solve for v, we can start by simplifying the right side of the equation:
mgh = (7/10)mv^2
Dividing both sides by (7/10)mv^2, we get:
mgh / (7/10)mv^2 = 1
Multiplying both sides by (10/7)m/gh, we get:
v^2 = (10/7)gh
Taking the square root of both sides, we get:
v = sqrt((10/7)gh)
Therefore, the solution for v in terms of m, g, h is:
v = sqrt((10/7)gh)