Answer:
The magnitude of the lift force L = 92.12 kN
The required angle is ≅ 16.35°
Explanation:
From the given information:
mass of the airplane = 9010 kg
radius of the airplane R = 9.77 mi
period T = 0.129 hours = (0.129 × 3600) secs
= 464.4 secs
The angular speed can be determined by using the expression:
ω = 2π / T
ω = 2 π/ 464.4
ω = 0.01353 rad/sec
The direction
θ = 16.35°
The magnitude of the lift force L = mg ÷ Cos(θ)
L = (9010 × 9.81) ÷ Cos(16.35)
L = 88388.1 ÷ 0.9596
L = 92109.32 N
L = 92.12 kN
We use the voltage division problem between the load resistance, amplifier output resistance as
.
Here, is the output voltage, is the amplifier voltage, is the load resistance and is the amplifier output resistance.
Therefore,
.
Thus, the amplifier output resistance is .
Answer:
The coefficient of static friction between the 10kg block and the surface is 0.29. Which was calculated by applying newtons first law of motion as it applies to equilibrium situations.
Explanation:
The steps for the solution to this problem can be found in the attachment below. The first thing to do in problems like this is to draw free body diagrams that clearly shows the forces acting of the elements of the system. Next, you apply newtons law(s) of motion as the case may be and then solve for your unknowns. It is easier to resolve the forces acting at a point into their horizontal and vertical components. This makes the solution to the problem easier.
For this solution, the sign convention used assumed towards as positive, downwards as negative, the right as positive and the left as negative. Best wishes.
Answer: C.
Explanation:
For a parallel-plate capacitor where the distance between the plates is d.
The capacitance is:
C = e*A/d
You can see that the distance is in the denominator, then if we double the distance, the capacitance halves.
Now, the stored energy can be written as:
E = (1/2)*Q^2/C
Now you can see that in this case, the capacitance is in the denominator, then we can rewrite this as:
E = (1/2)*Q^2*d/(e*A)
e is a constant, A is the area of the plates, that is also constant, and Q is the charge, that can not change because the capacitor is disconnected.
Then we can define:
K = (1/2)*Q^2/(e*A)
And now we can write the energy as:
E = K*d
Then the energy is proportional to the distance between the plates, this means that if we double the distance, we also double the energy.