Answer:
a) R_c = 1.18 ohms
b the resistance of copper wire is 14.7 % of resistance of speakers.
Explanation:
Given:
- 24-Gauge copper wire resistivity p = 1.72*10^-8
- The Length of the single wire L = 7 m
- The diameter of single copper wire d = 0.51 mm
Find:
A) What is the minimum resistance of the connecting speaker wires at 20˚C?
Part B) Compare the resistance of the wire to the resistance of the speaker (RSP = 8 Ω).
Solution:
- We are given details of as single copper wire. However, it takes two copper wire to connect a speaker to the amplifier. After establishing that fact we can use the relation between the dimensions of the wire and the resistance as follows:
R = p*L / A
Where,
R is the resistance of the wire in ohms
A is the cross sectional area of the wire
- Now for two wires the resistance would be twice:
R_c = 2*p*L / A
- plug in the values:
R_c = (2*1.72*10^-8 * 7 ) / (pi*(0.00051)^2 / 4)
- Evaluate:
R_c = 1.18 ohms
- The wire resistance calculated can be compared with that of speaker by taking a ratio of the two:
R_c / R_s
1.18 / 8 * 100 = 14.7 %
- Hence, the resistance of copper wire is 14.7 % of resistance of speakers.
Answer:
Hypothalamus
Explanation:
Dealing with a storm is a stressful situation especially when the fire has started in the forest. These multiple signals are processed by hypothalamus that is located in the base of the brain and send the processed information to Pitutary gland that makes primary secretions to activate the renal medulla and a fight-or-flight response to stimuli is generated by rushing the body with energy induced by Adrenaline
Answer:
No he should not attempt the pass
Explanation:
Let t be the time it takes for the car to pass the truck. The driver should ONLY attempt to pass when the distance covered by himself plus the distance covered by the oncoming car is less than or equal 400 m (a near miss)
At acceleration of 1m/s2 and a clear distance of 10 + 20 + 10 = 40 m, we can use the following equation of motion to estimate the time t in seconds
Within this time frame, the first car would have traveled a total distance of the clear distance (40m) plus the distance run by the truck, which is
8.94 * 25 = 223.6m
So the total distance traveled by the first car is 223.6 + 40 = 263.6m
The distance traveled by the 2nd car within 8.94 s at rate of 25m/s is
8.94 * 25 = 223.6 m
So the total distance covered by both cars within this time frame
223.6 + 263.6 = 487.2m > 400 m
So no, he should not attempt the pass as we will not clear it in time.
Explanation:
It is known that;
Now, we need to calculate the value of L, that is, angular momentum.
Therefore,
L= mvr
where, m = mass
v = velocity
r = radius
Hence,
L =
So,
L =
= 10.37 Js
Thus, we can conclude that angular momentum of the rod and clay system about the point of support immediately after the inelastic collision is 10.37 Js.
The ball is undergoing projectile motion such that the component of velocity and acceleration is towards the downward direction.
The problem is based on the projectile motion. Projectile motion is the motion possessed by any object in which it is only subjected to gravitational acceleration once released from a point.
Thus, we can conclude that the ball is undergoing projectile motion such that the component of velocity and acceleration is towards the downward direction.
Learn more about the projectile motion here:
Answer:
Trajectory is the path of a projectile in air. Any tangential to the curve shows it velocity and the slope of the tangential line will be it acceleration.
Explanation:
Answer:
The vapor pressure is 748.77 torr
Explanation:
Using Clausius-Clapeyron equation:
where;
T₁ is the initial temperature = 85.0°F = 302.5 K
T₂ is the final temperature = 100 °C = 373 K
P₂ is the final pressure = 760 torr
P₁ is the initial pressure = vapor pressure = ?
R is gas constant = 8.314 J/K.mol
ΔHvap is the heat of vaporization of water = 40.7 kJ/mol
4.895(0.00331 - 0.00268) = 0.01489
= 1.015
P₁ = (760 torr)/(1.015) = 748.77 torr
Therefore, the vapor pressure is 748.77 torr
Answer:
a) 2.0 s is the time after which the balloon hit the building
a) 49.3 m is the height at which the balloon hits the building
d) 24.8 m/s is the velocity of the balloon at the instant of hitting the building
Explanation:
Given:
initial speed of projection of balloon,
angle of projection from the horizontal,
distance of a tall building from the launch site,
Now we find the horizontal component of velocity :
Now the time taken to hit the building:
(since we don't have any acceleration in the horizontal direction )
Now the vertical component of the velocity:
Time taken to reach the maximum height:
At max. height the final velocity (v=0)
(-ve, since the direction of velocity is opposite to the gravity)
Therefore the the balloon hit the building while ascending in height.
Now the height reached in the time in which the balloon hits the building:
(-ve, since the direction of velocity is opposite to the gravity)
Speed of the balloon while it hits the building:
(-ve, since the direction of velocity is opposite to the gravity)
Now the net resultant of the two components:
Answer:
a = 256.36 m/s²
Explanation:
given,
Charge of the 89 g particle = 20µC
distance from the second particle = 47 cm = 0.47 m
charge of the second particle = -28 µC
acceleration of 89 g particle = ?
Using Coulomb force formula
F = 22.82 N
For acceleration calculation
Using 2nd law of force
F = m a
22.82 = 0.089 a
a = 256.36 m/s²
Hence, the acceleration of the particle is equal to a = 256.36 m/s²
Answer:
(a) mass of block ice=86.7 kg
(b) Distance=17.2179 m
Explanation:
Given data
For part (a)
First find acceleration then mass by ΣFx=ma
Let +x be the direction of force
ΣFx=79 N
x-x₀=10.5 m
t=4.80 s
Initial velocity V₀=0 m/s
Now ΣFx=ma
So
For part (b)
First calculate the speed at the end period 4.50s of applied force
Then use the ending velocity as initial velocity in the second part of motion
After first 4.50 seconds
acceleration ax=0 m/s²
velocity v=constant
So
Answer:
Explanation:
Given:
We know that the pressure due to height if a liquid column is given as:
where:
p = pressure
h = height of the liquid
density of the liquid
Now the difference of pressure in the two tubes of the manometer:
(a) The energy stored is "405 J".
(b) Amount of stored charge is "0.09 C".
(a)
As we know, the stored P.E in capacitor given by:
→
or,
→
then,
→
By substituting the values, we get
(b)
By using the energy expression, we get
→
or,
→
Thus the above answers are correct.
Learn more:
Answer:
(a)
(b)
Explanation:
(a) The potential energy stored in a capacitor is given by the expression:
Q is the stored charge and V the potential difference between capacitor plates. In a capacitor, we have:
Replacing this in the energy equation:
(b) Using the energy expression and solving for Q: