Math Question on Algebra (1 Viewer)

[Ronaldo98]

Hey, ive got a question i keep having trouble with from my text. Its as follows...

Using the Formula E = 1/2 M V², a value of V when E = 2500 and M = 0.185 is....

i keep attempting this one but fail to co-incide with the suggested answer ..... can someone clarify working. The text answer is 164! Thanks in advance!

 

[acmilan]

E = 1/2*M*V²
2500 = 1/2*0.185*V²

V² = 27027.027...

V = sqrt(27027.027...)
V = 164.3989...

 

[Ronaldo98]

can i just clarify as to how to get the

"V2 = 27027.027..."

if its ok, can u show working

 

[shafqat]

dont think its possible to show too much more working!
2500 = 1/2*0.185*V2

multiply both sides by 2:

5000 = 0.185*V2

divide both sides by 0.185:

27027.027... = V^2

 

[Ronaldo98]

thank you both