Answer:
Ae/A* = 1.115
Explanation:
Let the reservoir pressure be 
Let the exit pressure be 
Ratio of reservoir pressure and exit pressure

= 3.182
For the above value of pressure ratio
Obtain the area ratio from the isentropic flow table
Ae/A* = 1.115
The value of pressure ratio is Ae/A* = 1.115
A. Outside on a summer day, there are less particles that the sound bounces off of (snow and wind absorb the sound)
B. Water, sound travels faster through denser objects. Water has a higher density than air.
C. High air pressure, sound moves faster through matter that is closer together. This can be said because sound can't travel through space. (There is no atmosphere and consistent particles in space for sound to go through)
D. A piece of steel, It's denser than wood and water.
E. 90% nitrogen and 10% helium, nitrogen is denser than helium so it will move faster
<h2>
Answer:</h2>
2.63 hours
<h2>
Explanation:</h2>
First we have to read carefully the problem, It start telling us that <u>Emily </u>was driving with average velocity of <em>87.5 km/h to the north</em>. Velocity is a physical variable that is definded in terms of :
- Speed of the object (<em>87.5 km/h</em>)
- Direction of the object (<em>north</em>)
Them the problem says that <u>Emily's trip has an average velocity of </u><u><em>76.8 km/h to the north </em></u>because she made a rest stop for 22 minutes<u><em>.</em></u>
Now you can ask yourself: If Emily was driving at <em>87.5 km/h, why the average speed of the trip was </em><u><em>76.8 km/h?</em></u>
we need to see how speed is defined:

<em>***Note 1: </em>
- Distance will be called as<em> "x" </em>and units will be kilometers(<em>km</em>)
- Time will be called as <em>"y" </em>and units will be hours(<em>h</em>)
So, 87.5 km/h would be the average speed for a distance "x" and a time "y" without stops. But Emily made a stop that took 22 minutes. For the same distance Emily's trip took more time and time is in the denominator. If our numerator is constant and our denominator gets higher, the final result will be lower
Now, we have the follow expressions:

***Note 2:
- we need to convert 22 <em>minutes</em> to <em>hours</em>. 1 <em>hour</em>= 60 <em>minutes</em>, so we need to apply the follow covert factor:

The problem aks us about how long does the trip take, it means that we have to find y.
We have two variables (x and y), and we have two equationts. We know that x have the same value for both problems (Because both average speeds have the same distance), so we can solve both equations for x and made equal each other


We have to expand (5) and then we have to solve for y

Answer:
a) q_1=q_2= 7.42*10^-7 C
b) q_2= 3.7102*10^-7 C , q_1 = 14.8*10^-7 C
Explanation:
Given:
F_e = 0.220 N
separation between spheres r = 0.15 m
Electrostatic constant k = 8.99*10^9
Find: charge on each sphere
part a
q_1 = q_2
Using coulomb's law:
F_e = k*q_1*q_2 / r^2
q_1^2 = F_e*r^2/k
q_1=q_2= sqrt (F_e*r^2/k)
Plug in the values and evaluate:
q_1=q_2= sqrt (0.22*0.15^2/8.99*10^9)
q_1=q_2= 7.42*10^-7 C
part b
q_1 = 4*q_2
Using coulomb's law:
F_e = k*q_1*q_2 / r^2
q_2^2 = F_e*r^2/4*k
q_2= sqrt (F_e*r^2/4*k)
Plug in the values and evaluate:
q_2= sqrt (0.22*0.15^2/4*8.99*10^9)
q_2= 3.7102*10^-7 C
q_1 = 14.8*10^-7 C
This is a Wheatstone bridge, and the ratio of R2 to R1 equals the ratio of Rx to R3. As a result, if R2 is increased, R3 should be reduced by a factor of two.
<h3>Explain Wheatstone bridge?</h3>
A Wheatstone bridge is a type of electrical circuit that is used to measure an unknown electrical resistance by balancing two legs of a bridge circuit, one of which contains the unknown component.
The Wheatstone bridge circuit can be used to compare an unknown resistance RX to others of known value, such as R1 and R2, which have constant values and R3 which can be variable.
If we connected a voltmeter, ammeter, or galvanometer between points C and D, and then changed resistor R3 until the meters read zero, the two arms would be balanced, and the value of RX (substituting R4) would be known as indicated.
To learn more about Wheatstone bridge refer to :
brainly.com/question/15225070
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