Headphones, refrigerator magnets, and compasses
Hope that was helpful.
Answer:
15.47 gallons
Explanation:
The pumps remove the oil at the rate modelled by
R(t) = 2 + cos(πt / 11) in gallon per hour
The oil removes in 6hours period is given by integral of R(t)
from t = 0 to t = 6
![Q = [2t + \frac{sin(\frac{\pi t}{11}) }{\frac{\pi }{11} } ]_0^6](https://tex.z-dn.net/?f=Q%20%3D%20%5B2t%20%2B%20%5Cfrac%7Bsin%28%5Cfrac%7B%5Cpi%20t%7D%7B11%7D%29%20%7D%7B%5Cfrac%7B%5Cpi%20%7D%7B11%7D%20%7D%20%5D_0%5E6)
![Q = [2(6) + \frac{11}{\pi } sin(\frac{6\pi }{11}) ] - [0 + \frac{11sin (0)}{\pi } ]](https://tex.z-dn.net/?f=Q%20%3D%20%5B2%286%29%20%2B%20%5Cfrac%7B11%7D%7B%5Cpi%20%7D%20sin%28%5Cfrac%7B6%5Cpi%20%7D%7B11%7D%29%20%5D%20-%20%5B0%20%2B%20%5Cfrac%7B11sin%20%280%29%7D%7B%5Cpi%20%7D%20%5D)
![Q = [12 + \frac{11}{\pi } (0.9898)]\\\\Q = 12 + 3.465694\\\\Q = 15.465694\\\\Q = 15.47 gallons](https://tex.z-dn.net/?f=Q%20%3D%20%5B12%20%2B%20%5Cfrac%7B11%7D%7B%5Cpi%20%7D%20%280.9898%29%5D%5C%5C%5C%5CQ%20%3D%2012%20%2B%203.465694%5C%5C%5C%5CQ%20%3D%2015.465694%5C%5C%5C%5CQ%20%3D%2015.47%20gallons)
Answer:
Correct answer: F = 214.56 N
Explanation:
Given:
V₀ = 0 m/s initial speed
V = 44.7 m/s speed after t = 29 seconds
m = 96 kg
F = ? horizontal force
Taking off an airplane is a uniformly accelerated motion to which the formula applies:
V = V₀ + a t and V₀ = 0 m/s
V = a t ⇒ a = V / t = 44.7 / 20 = 2.235 m/s²
a = 2.235 m/s²
the horizontal force is calculated using the formula:
F = m · a = 96 · 2.235 = 214.56 N
F = 214.56 N
God is with you!!!
Answer:
1.The main advantage of an electromagnet over a permanent magnet is that the magnetic field can be quickly changed by controlling the amount of electric current in the winding. However, unlike a permanent magnet that needs no power, an electromagnet requires a continuous supply of current to maintain the magnetic field.
