Question

I need help with this question please .

Answer 1

K = 25 joules

Explanation:

given

v =
`\sqrt{(2K)/(m) }`

we require to find K

square both sides to clear the radical

v² =
`(2K)/(m)` ( multiply both sides by m to clear the fraction )

mv² = 2K ( divide both sides by 2 )

`(mv^2)/(2)` = K

substitute m = 2 and v = 5 into the equation

`(2(5)^2)/(2)` = K ( cancel 2 on numerator/ denominator on left side )

5² = K , that is

K = 25 joules