Answer:
A) 2 possible frequencies of second propellar = 424 rpm or 724 rpm
B) Correct frequency is f2 = 724 rpm
C) Reason is stated in explanation
Explanation:
A) We are given;
Frequency of first propeller; f1 = 574 rpm
Beat frequency; f_beat = 2.5 Hz = 2.5 × 60 rpm = 150 rpm
Now, formula for the beat frequency is;
f_beat = |f1 - f2|
Now, |f1 - f2| means it is inside an absolute value.
Thus, it means,
f1 - f2 = 150 or f2 - f1 = 150
Thus;
574 - f2 = 150
Or f2 - 574 = 150
So,f2 = 574 - 150 = 424 rpm or f2 = 574 + 150 = 724 rpm
2 possible frequencies of second propellar = 424 rpm or 724 rpm
B) Now, if we increase the speed of the second propellar slightly, it means that f2 will increase as well.
Now, from the 2 possible values of f2 gotten, we can see that for f1 - f2 = 150, when we increase f2, the beat frequency will reduce while for f2 - f1 = 150, when we increase f2, the beat frequency will increase.
Thus, it's the frequency of f2 gotten in f2 - f1 = 150 that is the correct answer.
Thus, when we increase the speed of the second propellar slightly, it means that;
f2 = 724 rpm
C) Answer in part B is correct because as we increase the speed of the second propellar, the frequency will also increase and the value of f2 that corresponds with an increase in speed is 724 rpm.
What is operational definition and two examples
Answer:
An example of operational definition of the term weight of an object, operationalized to a degree, would be the following: "weight is the numbers that appear when that object is placed on a weighing scale"
g ) (62.44 pts.) Explain why a maximum or a minimum of occurs exactly when an inflection point occurs for
Answer:
we approach a maximum or minimum the values of the ordinate are closer and closer and when passing this point the values change their trend
Explanation:
The reason for this process occurs because as we approach a maximum or minimum the values of the ordinate are closer and closer and when passing this point the values change their trend if they were rising, they begin to fall and if they were falling they begin to rise. Therefore the maximum point is a point of inflection of the curve since its trend changes.
Another way of looking at this process is that mathematically the point where there is a maximum or a minimum corresponds to the point where the first derivative is equal to zero, this is the slope of the line is horizontal, so the points before after correspond to values with slope of different sign.
A circular loop of wire 1.0 cm in radius carries a current of 40 A. The magnetic field at the center of the loop is
Answer:
The magnetic field at the center of the loop is 2.51 × 10⁻³ T
Explanation:
The magnetic field at the center of a circular loop is given by
B = μ₀I/2r
Where B is the magnetic field strength in Teslas (T)
μ₀ is the permeability of free space
μ₀ = 4π ×10⁻⁷ N/A²
I is the current in Amperes (A)
and r is the radius of the loop in meters (m)
From the question,
r = 1.0 cm
Convert this to meter (m)
1.0 cm = 1.0 × 10⁻² m = 0.01 m
∴ r = 0.01 m
I = 40 A
Hence, the magnetic field at the center of the loop is
B = μ₀I/2r
B = (4π ×10⁻⁷ × 40) / (2 × 0.01)
B = 5.0265 × 10⁻⁵ / 0.02
B = 2.51 × 10⁻³ T
Hence, the magnetic field at the center of the loop is 2.51 × 10⁻³ T
Electric force on a dust particle having charge equal to 8X10-19 C when plates are separated by a distance of 2cm and have a potential difference of 5 kV is
Answer:
8×10⁻¹⁷ N
Explanation:
from the question, Electric force is given as
F = QV/r.............. Equation 1
Where F = Electric Force, Q = Charge, V = Electric potential, r = distance.
Given: Q = 8×10⁻¹⁹ C, V = 5 kV = 5000 V, r = 2 cm = 0.02 m.
Substitute into equation 1
F = 8×10⁻¹⁹(5000)(0.02)
F = 8×10⁻¹⁷ N
Hence the electric force on the dust particle is 8×10⁻¹⁷ N
Add the vectors for: Two soccer players kick a ball simultaneously from opposite sides. Red #3 kicks
with 50 N of force while Blue #5 kicks with 63 N of force. What is the net force on
the ball?
Answer:
force applied by red = 50 N
force applied by blue = - 63 N (since it is in the opposite direction)
net force = force by red + force by blue
net force = 50 + (- 63)
net force = - 13 N
g What are the magnitude and direction of the electric field at a distance 43.5 mmmm from the center of the shells
Complete Question
Two spherical shells have a common center. A -1.6 x 10-6 C charge is spread uniformly over the inner shell, which has a radius of 0.030 m. A +5.1 x 10-6 C charge is spread uniformly over the outer shell, which has a radius of 0.15 m.What are the magnitude and direction of the electric field at a distance 43.5 mm from the center of the shells.
Answer:
The magnitude is [tex]E = 7.6021*10^{6} \N/C[/tex]
The direction is radially inward toward the center
Explanation:
From the question we are told that
The charge on the inner shell is [tex]q_i = -1.6*10^{-6} \ C[/tex]
The radius of the inner shell is [tex]c_1 = 0.030 \ m[/tex]
The charge on the outer shell is [tex]q_o = 5.1*10^{-6}\ C[/tex]
The radius of the outer shell is [tex]c_2 = 0.15\ m[/tex]
The distance considered is [tex]r = 43.5 \ mm = 0.0435 \ m[/tex]
Generally the electric field at the position considered is mathematically represented as
[tex]E = \frac{Q_c }{4\pi r^2 \epsilon_o }[/tex]
Here [tex]Q_c[/tex] is the charge which is enclosed by the distance considered which in this case is the charge on the inner shell
So [tex]Q_c =q_i = -1.6*10^{-6} \ C[/tex]
Hence
[tex]E = \frac{-1.6 *10^{-6} }{4* 3.142 *0.0435^2* 8.85*10^{-12} }[/tex]
=> [tex]E = -7.6021*10^{6} \N/C[/tex]
The negative sign is show that the direction of the field is radially inward toward the center
Have you donated blood ? If so describe your experience. If not, explain whether you would or would not donate blood and why.
28.25 mL, three signicant digits
Answer:3) variable affinities (stickiness) for something it is running past. Physical ... -measurement number (significant digits) unit (such as inches) -Significant ... Mass 1 oz. 28.25 g. Relations Between English and Metric Units Mass 1 dram. 1.772 g ... -graduated cylinder has an error of about 1% (± 0.1 mL in 10 mL). -Volumetric
Explanation:
Answer:
1. 28.25 mL, three significant digits.
2. 54.074 mL, three significant digits
3. 600.006 km, four significant digits
4. 1356 kg + 4.2 kg + 19.891 kg
Explanation:
has current 150 A and a height of 6.0 m above the ground, what magnetic field does the line produce at ground level
Complete question:
Currents in dc transmission lines can be 100 A or higher. Some people are concerned that the electromagnetic fields from such lines near their homes could pose health dangers. For a line that has current 150 A and a height of 6.0 m above the ground, what magnetic field does the line produce at ground level?
Answer:
The magnetic field the line produces at ground level is 5 x 10⁻⁶ T.
Explanation:
Given;
current in the dc transmission line, I = 150 A
height above ground level, R = 6 m
The transmission line will be treated as current in a long straight wire.
Thus, the magnetic field produced at the ground level is given as magnetic field in a long straight conductor.
[tex]B = \frac{\mu_o I}{2\pi R}[/tex]
where;
μ₀ is permeability of free space = 4π x 10⁻⁷ T.m/A
[tex]B = \frac{4\pi*10^{-7} * 150}{2\pi * 6}\\\\B = 5*10^{-6} \ T[/tex]
Therefore, the magnetic field the line produces at ground level is 5 x 10⁻⁶ T.
Determine the nuclear radius (in fm) for each of the following nuclei.
a) 126C
b) 147N
c) 6027Co
d) 20882Pb
Answer:
(a) 2.75 fm
(b) 2.89 fm
(c) 4.70 fm
(d) 7.12 fm
Explanation:
For a given element, the radius r of its nuclei is given by;
r = r₀[tex]A^{(1/3)}[/tex]
Where;
A = Atomic mass of the element
r₀ = 1.2 x 10⁻¹⁵m = 1.2fm
Now let's solve for the given elements
(a) ¹²₆C
Carbon element => This has an atomic mass number of 12
Therefore its radius is given by;
r = 1.2 x [tex]12^{1/3}[/tex]
r = 1.2 x 2.29
r = 2.75 fm
(b) ¹⁴₇N
Nitrogen element => This has an atomic mass number of 14
Therefore its radius is given by;
r = 1.2 x [tex]14^{1/3}[/tex]
r = 1.2 x 2.41
r = 2.89 fm
(c) ⁶⁰₂₇Co
Cobalt element => This has an atomic mass number of 60
Therefore its radius is given by;
r = 1.2 x [tex]60^{1/3}[/tex]
r = 1.2 x 3.92
r = 4.70 fm
(d) ²⁰⁸₈₂Pb
Lead element => This has an atomic mass number of 208
Therefore its radius is given by;
r = 1.2 x [tex]208^{1/3}[/tex]
r = 1.2 x 5.93
r = 7.12 fm
Masses m and 2m approach each other at the same speed v and collide head-on. Find the final speed of mass 2m, if mass rebounds at speed 2v. g
Answer:
The rebound speed of the mass 2m is v/2
Explanation:
I will designate the two masses as body A and body B.
mass of body A = m
mass of body B = 2m
velocity of body A = v
velocity of body B = -v since they both move in opposite direction
final speed of mass A = 2v
final speed of body B = ?
The equation of conservation of momentum for this system is
mv - 2mv = -2mv + x
where x is the final momentum of the mass B
x = mv - 2mv + 2mv
x = mv
to get the speed, we divide the momentum by the mass of mass B
x/2m = v = mv/2m
speed of mass B = v/2
To which layer can geologists apply the principle of faunal succession to determine the age of the layer?
A. Layer C
B. Layer A
C. Layer D
D. Layer B
If someone told you that they traveled 50 km east, are they describing the distance they traveled or their displacement? How do you know? *
Answer:
they are describing their displacement since displacement is nothing but distance along with the direction of motion
(a) A runner starts from rest and in 2 s reaches a speed of 10 m/s. If we assume that the speed changed at a constant rate (constant net force), what was the average speed during this 2 s interval
Answer:
Average speed is 5 m/s
Explanation:
The initial speed = 0 m/s (since the runner starts from rest)
Final speed = 10 m/s
time interval = 2 sec
average speed = ?
The speed is assumed to change at a constant rate
Average speed = (final speed + initial speed)/2
==> (10 + 0)/2 = 10/2 = 5 m/s
A sound source producing 1.00 kHz waves moves toward a stationary listener at one-half the speed of sound.
a) What frequency will the listener hear?
(b) Suppose instead that the source is stationary and the listener moves toward the source at one half the speed of sound. What frequency does the listener hear? How does your answer compare with that in par a? Did you expect to get the same answer in both cases? Explain on physical grounds why the two answers differ
Answer:
2000Hz and 1500Hz
Explanation:
Using
a) f = f0((c+vr)/(c+vs))
=>>> f0((c)/(c-0.5c))
=>>>1000/0.5 = 2000Hz
b) f = f0((c+vr)/(c+vs))
=>>>f0((c+0.5c)/(c))
=>>>>1000 x 1.5 = 1500Hz
Here we have a problem referring to the Doppler effect, the solutions are:
a) f = 2.0 kHzb) f = 1.5 kHzThe Doppler effect:
The Doppler effect is an effect that explains how the perception of waves changes as the source moves or as the listener moves.
The formula, for sound, is:
[tex]f = \frac{v + v_0}{v - v_1}*f_0[/tex]
where:
v = velocity of the wave = 340 mf = perceived frequencyf₀ = actual frequency = 1.00kHzv₀ = velocity of the observerv₁ = velocity of the source.a) First we have that the source moves towards a stationary listener, then we have:
[tex]f = \frac{v }{v - v/2}*1.0 kHz\\\\f = \frac{v }{v/2}*1.0 kHz = 2.0 kHz[/tex]
b) in this case, the listener moves towards the source, so we have:
[tex]f = \frac{v + v/2 }{v }*1.0 kHz\\\\f = \frac{ (3/2)*v }{v}*1.0 kHz = 1.5 kHz[/tex]
So in this case the perceived frequency is smaller than in the point a.
This is because the waves will move at a fixed rate in air, in one case, the successive waves are emitted from different points in space (each time closer to the listener) while in the other case the waves are emitted from a fixed point, and the listener moves towards them, thus feels that the waves move faster.
If you want to learn more about the Doppler effect, you can read:
https://brainly.com/question/3826119
A fishing pole is an example of a compound machine. What simple machines are used to make up this compound machine?
Answer:
Corkscrew, bicycle, scissors
Explanation:
they are made from many simple machine's
Answer:
compound meachiun include bicycles, cars, scissors, and fising rods with reels.
If your speedometer has an uncertainty of 2.5 km/h at a speed of 92 km/h, what is the percent uncertainty
Answer:
2.7%
Explanation:
Given:
Uncertainty of the speedometer (u)= 2.5km/h
Speed measured at that uncertainty (v) = 92km/h
Percent uncertainty (p) is given as the ratio of the uncertainty to the speed measured then multiplied by 100%. i.e
p = [tex]\frac{u}{v} * 100[/tex]%
p = [tex]\frac{2.5}{92} * 100[/tex]%
p = 2.7%
Therefore, the percent uncertainty is 2.7%
A rock is dropped from a sea cliff and the sound of it striking the ocean is heard 5.12 s later. If the speed of sound is 340 m/s, how high is the cliff
Answer:
height of cliff (h) = 112.38m
Explanation:
The time 5.12 s is the total time it takes for the rock to fall, and for the soundwave to travel back to the top of the cliff before it is heard.
[tex]5.12 = t_f\ +\ t_s - - - - -(1)\\where:\\t_f = time\ of\ fall\ of\ the\ piece\ of\ rock\\t_s = time\ travelled\ by\ the\ return\ sound[/tex]
Let h be the height of the cliff in meters, the time taken for the rock to fall is given by:
[tex]t_f=\sqrt{\frac{2h}{g} } \\where:\\t_f = time\ of\ fall\\h = height\ of\ cliff\\g= acceleration\ due\ to\ gravity= 9.8 m \slash s^2[/tex]
[tex]\therefore t_f = \sqrt{\frac{2h}{9.8}} \\squaring\ both\ sides\\(t_f)^2 = \frac{2h}{9.8}\\ 2h = 9.8 \timess\ (t_f)^2\\h = \frac{9.8 \timess\ (t_f)^2}{2} \\h= 4.9(t_f)^2 - - - - - (2)[/tex]
Next, let us calculate the time taken fot the sound to return
[tex]t_s = \frac{h}{v} \\where:\\t_s = time\ for\ sound\ to\ travel\ up\ the\ cliff\\h= distance\ tavelled\ = height\ of\ cliff\\v= speed\ = 340m \slash s\ (speed\ of\ sound)\\\therefore t_s = \frac{h}{340} - - - - - (3)\\[/tex]
now putting the values of h from equation 2 into equation (3)
[tex]t_s = \frac{4.9(t_f)^2}{340}[/tex]
Putting the value of [tex]t_s[/tex] into equation (1)
[tex]5.12 = t_f +\frac{4.9(t_f)^2}{340} \\[/tex]
multiplying through by 340
[tex]1740.8 = 340(t_f) + 4.9(t_f)^2\\4.9(t_f)^2 + 340 (t_f) - 1740.8 = 0[/tex]
now let us solve the quadratic equationsss;
[tex]Let\ (t_f) = x[/tex]
[tex]4.9x^2 + 340x - 1740.8 = 0\\using\ quadratic\ formula\\x = \frac{-b \pm\sqrt{b^2 - 4ac} }{2a} \\x = \frac{-340 \pm\sqrt{(340)^2 -\ 4 \times4.9 \times(-1740.8)} }{2\times4.9}\\x = \frac{-340\ \pm\ 386.936}{9.8} \\x =\frac{386.938 - 340}{9.8} \\x = \frac{46.936}{9.8}\\ x = 4.789\\x = t_f\\t_f=4.789s[/tex]
note, time cannot be negative, so we ignored the negative answer
putting the value of [tex]t_f[/tex] into equation (2) to find height of cliff (h)
[tex]h= 4.9(t_f)^2\\h = 4.9 \times(4.789)^2\\h = 112.38m[/tex]
Therefore, height of cliff (h) = 112.38m
Is lava a matter if yes how if not how
Answer:
Yes, lava is a liquid, that cools into rock, which is a solid.
Two point sources produce waves of the same wavelength that are in phase. At a point midway between the sources, what kind of interference would be observed?
Answer:
Constructive interference
Explanation:
Because the path difference between them is zero owing to the fact that they are in phase
TRICARE is health insurance for what part of the population?
Answer:
TRICARE for Life (TFL), a program for Medicare-eligible military retirees and their dependents, acts as a supplement to Medicare.
Explanation:
What accepted idea was replaced by copernicus's new approach to the solar system?
Answer:
The geocentric model of Ptolemy in which the sun and other planets were believed to move round the Earth.
Explanation:
The Copernicus heliocentric model of the solar system was put forward by Nicolaus Copernicus and was published in 1543. The model proposed by Copernicus puts the Sun near the center of the Universe, motionless, with Earth and the other planets orbiting around the sun in circular paths, modified by epicycles, and at uniform speed. This is contrary to Ptolemy's geocentric solar system that puts the Earth at the center of the solar system, in which the sun and other planets were believed to move round the Earth.
(b) A Blu-ray laser has a power of 5 milliwatts (1 watt = 1 J s−1). How many photons of light are produced by the laser in 1 hour? Energy=(Power)x(time) 5x10-3 J s-1x 1 x 3600s=18.0 J
Answer:
The number of photons of light produced by the laser in 1 hour is
1 Photon / hour
Explanation:
Number of photons of light produced is given by
[tex]Number of photons = \frac{Power}{Energy}[/tex]
From the question,
Power = 5 mW (milliwatts) = 5 × 10⁻³ W
Since 1 Watt = 1 Js⁻¹
Then, 5 × 10⁻³ W = 5 × 10⁻³ Js⁻¹
For the Energy,
As given from the question
Energy=(Power)x(time)
Time = 1 hour = (1 × 60 × 60) s = 3600 s
∴ Energy = 5 × 10⁻³ Js⁻¹ x 1 x 3600s
Energy =18.0 J
Now for the Number of photons produced,
[tex]Number of photons = \frac{Power}{Energy}[/tex]
Power = 5 × 10⁻³ Js⁻¹ = 0.005 Js⁻¹
[tex]Number of photons = \frac{0.005}{18}[/tex]
Number of photons = 2.78 × 10⁻⁴ Photons / sec
This is the number of photons produced in 1 second.
For the number of photons produced in 1 hour, we will multiply the result by 3600
(NOTE: 1 sec = [tex]\frac{1}{3600}[/tex] hour)
Number of photons = 2.78 × 10⁻⁴ Photons / sec
= 2.78 × 10⁻⁴ × 3600 Photons / hour
= 1.0008 Photons / hour
≅ 1 Photon / hour
Hence, the number of photons of light produced by the laser in 1 hour is
1 Photon / hour
An old-fashioned incandescent lamp is basically just a resistor that gets hot enough to glow when a current passes through it. A modern strand of Christmas lights consists of a series small incandescent lamps wired together. Should these be connected in series or in parallel
Answer:
They should be connected in parallel
Explanation:
Because In Parallel circuit, voltage across all lamps are same and current will flow independent each other such that a malfunction of one will nor affect the rest unlike in series connection
g a small metal sphere, carrying a net charge is held stationary. what is the speed are 0.4 m apart
Answer:
The final speed of small metal sphere is 12.6 m/s.
Explanation:
Given that,
Distance = 0.4 m
Suppose, A small metal sphere, carrying a net charge q₁ = −2μC, is held in a stationary position by insulating supports. A second small metal sphere, with a net charge of q₂ = −8μC and mass 1.50g, is projected toward q₁. When the two spheres are 0.800m apart, q₂ is moving toward q₁ with speed 20m/s.
We need to calculate the final speed of small metal sphere
Using conservation of energy
[tex]\dfrac{1}{2}mv_{1}^2+\dfrac{kq_{1}q_{2}}{r_{1}}=\dfrac{1}{2}mv_{2}^2+\dfrac{kq_{1}q_{2}}{r_{2}}[/tex]
[tex]\dfrac{1}{2}m(v_{1}^2-v_{2}^2)=kq_{1}q_{2}(\dfrac{1}{r_{2}}-\dfrac{1}{r_{1}})[/tex]
Put the value into the formula
[tex]\dfrac{1}{2}\times1.5\times10^{-3}(20^2-v_{2}^2)=9\times10^{9}\times(-2)\times10^{-6}\times(-8)\times10^{-6}(\dfrac{1}{0.4}-\dfrac{1}{0.8})[/tex]
[tex]400-v_{2}^2=240[/tex]
[tex]-v_{2}^2=240-400[/tex]
[tex]v_{2}=\sqrt{160}\ m/s[/tex]
[tex]v_{2}=12.6\ m/s[/tex]
Hence, The final speed of small metal sphere is 12.6 m/s.
We all know that punching a solid wall can badly hurt your hands. Using Newton's Third Law, how can you explain this happening? a. According to Newton's Third Law, the force you put into the wall with your punch causes the wall to put that same force back onto your hand. b. According to Newton's Second Law, the harder you hit the wall, the more you need to exert yourself and your hand to do so, which damages your hand c. According to Newton's First Law, you cannot stop your hand once your cause it to start moving, thus your hand will be damaged by hitting the wall because you can't stop it in time d. Newton's Laws cannot explain this
The answer is B
Explanation:
Every action has an equal reaction. If you punch a wall, the wall is going to exert the wall with exert the same amount of force back towards your hand, causing your hand to hurt.
Answer:
a. According to Newton's Third Law, the force you put into the wall with your punch causes the wall to put the same force back onto your hand.
Explanation:
I got it correct.
Which scientist demonstrated that light is the visible component of a larger spectrum of electromagnetic waves
If this circuit were connected to a standard 120 V ac outlet, what would the rms current in the circuit be
Answer:
Irms =226A
Explanation:
The current is high because the total impedance is relatively low. Actually, plugging such a circuit into a 120-V outlet would most likely burn out the circuit elements
What are the laws of aerodynamics?
Answer:
Lift, weight, thrust and drag.
Answer:
According to Newton's first law of motion (inertia), an object at rest will remain at rest, or an object in motion will continue in motion at the same speed and in the same direction, until an outside force acts on it. For an aircraft to taxi or fly, a force must be applied to it. It would remain at rest without an outside force. Once the aircraft is moving, another force must act on it to bring it to a stop. It would continue in motion without an outside force. This willingness of an object to remain at rest or to continue in motion is referred to as inertia.
Newton's Second Law of Motion
The second law of motion (force) states that if a object moving with uniform speed is acted upon by an external force, the change of motion (acceleration) will be directly proportional to the amount of force and inversely proportional to the mass of the object being moved. The motion will take place in the direction in which the force acts. Simply stated, this means that an object being pushed by 10 pounds of force will travel faster than it would if it were pushed by 5 pounds of force. A heavier object will accelerate more slowly than a lighter object when an equal force is applied.
Newton's Third Law of Motion
The third law of motion (action and reaction) states that for every action (force) there is an equal and opposite reaction (force). This law can be demonstrated with a balloon. If you inflate a balloon with air and release it without securing the neck, as the air is expelled the balloon moves in the opposite direction of the air rushing out of it.
A linear network has a current input 7.5 cos(10t + 30°) A and a voltage output 120 cos(10t + 75°) V. Determine the associated impedance.
Answer:
16∠45° Ω
Explanation:
Applying,
Z = V/I................... Equation 1
Where Z = Impedance, V = Voltage output, I = current input.
Given: V = 120cos(10t+75°), = 120∠75°, I = 7.5cos(10t+30) = 7.5∠30°
Substitute these values into equation 1
Z = 120cos(10t+75°)/7.5cos(10t+30)
Z = 120∠75°/ 7.5∠30°
Z = 16∠(75°-30)
Z = 16∠45° Ω
Hence the impedance of the linear network is 16∠45° Ω