Answer:
t=27725.8minutes
Explanation:
To determinate use the law the change of volume in determinate time is derivate so:

The flow in is zero and the flow out is modeling with V as the volume out in the volume of the lake in the reason of change.

Integrate to get the volume function

The find the constant C in the time t=0 the volume is knowing so:


The volume is 1 part per million so:


The net force on the system:
F = m₂g - m₁gsin(∅)
F = 39.5 x 9.81 - 43 x 9.81 x sin(30)
F = 176.58 N
Now, we use F = ma to find the acceleration on each mass.
F = m₁a₁
a₁ = 176.58 / 43
a₁ = 4.11 m/s²
F = m₂a₂
a₂ = 176.58 / 39.5
a₂ = 4.47 m/s²
Answer:
Explanation:
Find the velocity of an airplane traveling north at 100 kilometers per hour. It is also flying through a wind that is blowing west at 30 kilometers per hour.