Answer:
The work done in stretching it from its natural length to 14 in. beyond its natural length is W=8.17 ft-lb.
Step-by-step explanation:
We know that a force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length.
This let us calculate the spring constant k as:
We know that work is, in an scalar form, the product of force and distance.
The force F is equal to the spring constant multiplied by the distance from the natural length.
Then, as the force changes with the distance from the natural length, we have to calculate integrating:
Answer:
ur mom
Step-by-step explanation:
ur momomommomomomomomomoommomomomomomomomomomomomommommomomomomomomomomomomomommomomomomomomomomomomommomomomom.
Answer:
6000π m²/h
Step-by-step explanation:
Area of the circular cloud =πr²----------------------------------------- (1)
Radius as a function of time = R(t)=50+20t------------------------ (2)
dA/dt = (dA/dr) x (dr/dt)-----------------------------------------------------(3)
dA/dr = 2πr
dr/dt = 20
After 5 hours, the radius of the cloud will be :
R(5)=50+20(5)
= 150 meters
Substituting into (3)
dA/dt = 2π(150) x 20
= 6000π m²/h
Answer:
-0.523
Step-by-step explanation:
log(a/b)=loga-logb
log (0.3) can be written as log (3/10).
=log(3/10)
=log3-log10
=0.477-1 (log3=0.477 and log10=1)
= -0.523
The average of 3 numbers is their total divided by 3.
(150 +205 +178)/3 ≈ 178.67
Rounded to the nearest dollar, the average charge for the period is $178 per month.
