Answer:
The answer is: c.) Both students get the same time constant, since the time constant does not depend on the charge on the capacitor
Explanation:
Both students, because the time constant is not dependent on the capacitor charge. We can express the equation of the time constant as follows:
Time constant = RC
In this equation it is observed that the time constant is equal to the multiplication of the resistance (R) multiplied by the capacitance (C)
Answer: In algebra, the reflexive property of equality states that a number is always equal to itself.
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Answer:
Explanation:
We use the harmonic motion position equation:

where A = 0.350 and for t = 0

so: 
and also:

so we have:
x(t)=0.350cos(1.532 t)
For t = 3.403 s
x(3.403)=0.350cos(1.532 (3.403)) = 0.348 m
Answer:
Explanation:
We can use Doppler equation to find the frequency of the siren.
First of all we have the police car moving behind the car. Hence, the frequency detected by the car will be:
(1)
Now, when the police car is moving in front of the car, the frequency detected by the car will be:
(2)
By solving equation (1) and equation (2) for
we have:

Knowing that:
- f(car1) = 1310 Hz
- f(car2) = 1240 Hz
- Vs = 343 m/s
- V(car) = 35 m/s
Finally, we just need to put this value into the first equation to find frequency of the police car.
I hope it helps you!
(a)
The formula is:
∑ F = Weight + T = mass * acceleration
as the elevator and lamp are moving downward, I choose downward forces to be
positive.
Weight is pulling down = +(9.8 * mass)
Tension is pulling up, so T = -63
Acceleration is upward = -1.7 m/s^2
(9.8 * mass) + -63 = mass * -1.7
Add +63 to both sides
Add (mass * 1.7) to both sides
(9.8 * mass) + (mass * 1.7) = 63
11.5 * mass = 63
mass = 63 / 11.5
Mass = 5.48 kg
(b)
Since the elevator and lamp are going upward, I choose upward forces to be
positive.
Weight is pulling down = -(9.8 * 5.48) = -53.70
Acceleration is upward, so acceleration = +1.7
-53.70 + T = 5.48 * 1.7
T = 53.70 + 9.316 = approx 63 N
The Tension is still the same - 63 N since the same mass, 5.48 kg, is being accelerated
upward at the same rate of 1.7 m/s^2