Answer:
±sqrt(T*L/m)=v
Step-by-step explanation:
T=mv^2/L
We want to solve the equation for v
Multiply each side by L
T*L=mv^2/L
*L
T*L=mv^2
Divide each side by m
TL/m=mv^2/m
T*L/m=v^2
Take the square root of each side
±sqrt(T*L/m)=sqrt(v^2)
±sqrt(T*L/m)=v
This is the answer it was easier just to write it out
Answer:
28.7 meters
Step-by-step explanation:
Draw a diagram. Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.
Using trigonometry, we can write two equations for the height of the tower:
h = d tan 65°
h = (d + 25) tan 35°
Setting these equal, we can solve for d.
d tan 65° = (d + 25) tan 35°
d tan 65° = d tan 35° + 25 tan 35°
d (tan 65° − tan 35°) = 25 tan 35°
d = 25 tan 35° / (tan 65° − tan 35°)
d ≈ 12.12
Now we can find x:
cos 65° = d / x
x = d / cos 65°
x ≈ 28.7
The wire is approximately 28.7 meters long.
I believe the correct answer is 42. Just plug in the number for T in the equation. In this case, it would be 3(14). Which just means 3 X 14. Do the multiplication and you've got your answer! Hope this helped!
-Twix