The magnitude of the electric field between the plates when there is a layer of dust is higher than when there is no layer of dust. The resistances are in seriesThe gas in the precipitator behaves in a highly non-Ohmic manner. The current is proportional to the third power of the electric field.
The effective resistance of the gas depends strongly on the applied field. After a layer of dust has accumulated on the ground plate, the effective resistance of the gas is increasing. Once a layer of dust has accumulated, the effective resistance rises to a high level. This increase in resistance is due to the layer of dust between the plates.The magnitude of the electric field between the plates when there is a layer of dustThe magnitude of the electric field between the plates when there is a layer of dust is higher than when there is no layer of dust.
The reason for this is that the resistance of the gas in the precipitator is higher when there is a layer of dust. This means that the potential difference between the plates must be increased to maintain the same current. The electric field between the plates is proportional to the potential difference between the plates divided by the distance between the plates. In series, the resistances add together. Therefore, the effective resistance of the gas in the precipitator is the sum of the resistance of the gas and the resistance of the layer of dust.
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Immersion oil can be used to increase the resolution achieved with some microscopelenses because it increases the __________ between the specimen and the objective lens.A.Optical densityB.Refractive indexC.Optical density and refractive indexD.Neither optical density nor refractive index
Immersion oil increases the resolution in microscopy by increasing the refractive index between the specimen and the objective lens. The correct answer is B.
In microscopy, immersion oil is used to enhance the resolution of an image by reducing the amount of light that gets scattered or refracted as it passes through the air between the specimen and the objective lens. By increasing the refractive index, immersion oil allows more light to enter the lens, which results in a clearer and more detailed image.
The refractive index of the oil closely matches that of the glass used in the objective lens, ensuring that the light travels more directly from the specimen to the lens, thus improving the overall image resolution.
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Two people carry identical 40.0N boxes up the ramp. The ramp is 2.00m long and 1.00m high. Person A walks up the ramp in 2.00s. Person B walks up the ramp in 4.00s. What is the difference in power the two people use to carry the boxes up the ramp
The difference in power for two people carrying the boxes up the ramp is 30 W.
Given the following data:
W = 40.0 N is the weight of a box.
The ramp's length is L = 2.00 m.
The platform height is h = 1.0 m.
t = 2.0 s is the time interval for the first person.
t' = 4.0 s is the time interval for the other person.
Power is the rate at which energy is used. The expression for the Power is given in the given question as,
P = W×(L+h)/t
Assume that you are solving for the first person.
P₁ = W(L+h)/t₁.................................................................. (1)
Substitute the following values into equation (1):
P₁ = 40(2+1)/2
P₁ = 20(3) (3)
P₁ = 60 W.
Regarding the second person,
P₂ = W(L+h)/t₂..................................................................... (2)
Fill in the blanks in equation (2) as follows:
P₂ = 40(2+1)/4
P₂ = 10*(3) *3)
P₂ = 30 W
Obtaining the difference in power as
P = P₁ - P₂
P = 60-30
P = 30 W
As a result, we can conclude that the difference in power for two people carrying the boxes up the ramp is 30 W.
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Which factors are used to calculate the kinetic energy of an object? Check all that apply. gravity velocity volume mass heig
Answer:
mass , velocity
Explanation:
K.E= 1/2 X mv2
How is muscular strength calculated?
Muscle strength is measured by estimating a person's one repetition maximum (1RM).
1RM is a measurement of the greatest load (in kilograms) that one can move means it can be lifted, pushed, or pulled once without failure or injury.
1RM is calculated by counting the maximum number of exercises that you can do in repetition by the use of a load that is just less than the maximum amount that can be moved. This number is known as the repetitions to fatigue (RTF) – you are required to stop counting the repetitions when you feel you can no longer do the exercise in a proper way or when you slow down or can't keep a steady pace.
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Just helping others receive points :) ! I really do need help tho , you don’t have to answer all of them !!
Answer:
1. Color, Streak, Luster, Cleavage and fracture, Density, Hardness, Special properties.
2. The term luster refers to the appearance of a fresh surface of a mineral in reflected light. The two basic types of luster are metallic and non-metallic.
3. You test the hardness of a mineral by scratching its surface with a mineral of a known hardness. Mineralogists use Mohs Scale as a reference for mineral hardness. The scale lists common minerals in order of their relative hardness. You can use the minerals in the scale to test the hardness of an unknown mineral.
4. Color is also an unreliable identification clue because weathered surfaces may hide the color of minerals. For example, the golden color of iron pyrite ranges from dark yellow to black when iron pyrite is weathered. When examining a mineral for color, you should inspect only the mineral's freshly exposed surfaces.
5. Most minerals can be characterized and classified by their unique physical properties: hardness, luster, color, streak, specific gravity, cleavage, fracture, and tenacity.
6. Magnets attract minerals that contain iron. Nonsilicate minerals that contain iron are more likely to be magnetic than other nonsilicate minerals are so testing to see if a mineral is magnetic can show what an element is made of.
Hope this helps :)
An fm radio station broadcasts at 98. 6 mhz. What is the wavelength of the radiowaves?.
The wavelength of radiowaves is 3.042 m.
What is radiowaves?The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are normally found at frequencies of 300 gigahertz and below.
Frequency given, f = 98.6 MHz = 98.6 x \(10^{6}\) cycles/second
Electromagnetic waves including radiowaves also travel at the speed of light.
Therefore, c = 3.0 x \(10^{8}\) m/sec
Wavelength = speed/frequency
wavelength of 98.6 MHz = 3.0 x \(10^{8}\)/98.6 x \(10^{6}\) meters
=3.042 meters
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How does a decrease in temperature effect the volume of a balloon?
Due to the gas within cooling off due to the low temperature, the balloon's volume shrinks.
Briefing :The helium balloon rises because it is lighter than the same amount of air at ambient temperature. It is heavier than the same volume of air at low temperatures because its volume is too small. Because the average kinetic energy of the gas molecules in a balloon drops as temperature rises, the frozen balloon shrank. As a result, the molecules move more slowly and collide with the balloon's interior wall less frequently and weakly, causing the balloon to somewhat contract.
What causes the balloon's volume to change?If the temperature remains constant and the pressure decreases, the volume will increase (balloon expands). If the pressure increases while T remains constant (let's say you're holding the balloon underwater), V will decrease (balloon shrinks). When the temperature rises and the volume remains constant (like in an aerosol can), P increases.
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6. Bella is taking an adventurous trip through a jungle. First, she trekked for 1 hour into the
thick jungle at an average speed of 6 km/h. Next, she took a boat to cross a lake which
rode her at an average speed of 20 km/h for 0.5 hours. For the last part of her trip, she
hiked for 2 hours at an average speed of 4 km/h. Find the total distance she covered on
her trip.
The total distance covered by Bella on her trip is 105km.
How to calculate distance?The distance covered by a moving body can be calculated by multiplying the speed of the body by the time taken to complete the distance as follows:
Distance = speed × time
According to this question, Bella is taking an adventurous trip through a jungle.
First, she trekked for 1 hour into the thick jungle at an average speed of 6 km/hNext, she took a boat to cross a lake which rode her at an average speed of 20 km/h for 0.5 hoursFor the last part of her trip, she hiked for 2 hours at an average speed of 4 km/hTime = 1 + 0.5 + 2 = 3.5 hours
Average speed = 6 + 20 + 4 = 30 km/hr
Distance = 30 × 3.5 = 105km
Therefore, 105km is the distance covered.
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What is the speed of light in furlongs per fortnight? The speed of light is2.998×108 m/s. You might find the following conversions helpful in you calculation:• 1 furlong = 220 yds• 1mi = 5280 ft• 1 fortnight = 14 days
The speed of light in furlongs per fortnight is approximately 1.802 x 10¹² furlongs/fortnight.
We can start by converting meters to furlongs and seconds to fortnights.
1 meter = 1/201.17 furlongs (since 1 furlong = 220 yards and 1 yard = 0.9144 meters)
1 second = 1/1,209,600 fortnights (since 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds, and 1 fortnight = 14 days)
Using these conversions, we have:
Speed of light = 2.998 x 10⁸ m/s
= (2.998 x 10^⁸ m/s) x (1/201.17 furlongs/m) x (86,400 s/day) x (1 day/14 fortnights)
= 1.802 x 10^¹² furlongs/fortnight
Therefore, the speed of light in furlongs per fortnight is approximately 1.802 x 10^¹² furlongs/fortnight.
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A container of rocks is brought back from the Moon's surface where the acceleration due to gravity is 162 meters per second if the total mass of the container of rocks is 650 kilograms, what is its weight on
Earth's surface
Answer:
6318 N
Explanation:
From the question given above, the following data were obtained:
Acceleration due to gravity of the moon (gₘ) = 1.62 m/s²
Mass (m) of container = 650 kg
Weight (W) of container on the earth =.?
Next, we shall determine the acceleration due to gravity of the earth. This can be obtained as follow:
Acceleration due to gravity of the moon (gₘ) = 1.62 m/s²
Acceleration due to gravity of the earth (gₑ) =.?
gₘ = 1/6 × gₑ
1.62 = 1/6 × gₑ
1.62 = gₑ /6
Cross multiply
gₑ = 1.62 × 6
gₑ = 9.72 m/s²
Finally, we shall determine the weight of the container on the earth as follow:
Mass (m) of container = 650 kg
Acceleration due to gravity of the earth (gₑ) = 9.72 m/s²
Weight (W) of container on the earth =.?
W = m × gₑ
W = 650 × 9.72
W = 6318 N
Therefore, the weight of the container on earth is 6318 N
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How does the Half-life setting affect how quickly the simulated substance decays?
The greater the half-life is, the faster the rate of decay will be.
The greater the half-life is, the slower the rate of decay will be.
The smaller the half-life is, the slower the rate of decay will be.
The half-life does not affect rate of decay.
Answer:
the greater the half life is the slower the rate of decay will be.
Explanation:
half life of a radioactive substance is inversely proportional to the radioactive decay.
Answer:
B. The greater the half life is, the slower the rate of decay will be
Explanation: Most living things contain carbon-14, an unstable isotope of carbon that has a half-life of around 5,000 years. That means that when scientists dig up fossil bones, they can figure out how old they are by measuring the amount of carbon-14 remaining in the bones.
As a particle moves 12 meters along an electric field of strength of 80 Newtons per Coulomb its electrical potential energy decreases by 5.2 x 10^-18 Joules.
What is the particle charge?
Giving out brainliest please help this is due today.
Answer:
The electric potential energy (EPE) of a particle with charge q moving through an electric field of strength E over a distance d is given by the formula:
EPE = qEd
In this problem, we are given:
EPE = 5.2 x 10^-18 J
E = 80 N/C
d = 12 m
Substituting these values into the formula, we get:
5.2 x 10^-18 J = q(80 N/C)(12 m)
q = 5.2 x 10^-18 J / (80 N/C)(12 m)
q = 6.875 x 10^-21 C
Therefore, the particle charge is 6.875 x 10^-21 Coulombs.
Explanation:
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An electromagnetic wave has a frequency of 8.2 x 10¹⁴ Hz. What is the wavelength of the wave?
Explanation:
Given parameters:-
Frequency of EMW is - 8.2 x 10¹⁴ HzTo find:-
Wavelength(\(\lambda\))?Solution:-
Here , we are provided frequency of electromagnetic wave and we have to find the wavelength of the wave. To find the wavelength we have to divide the speed of light by given frequency. therefore,
\(\tt\red{wavelength( \lambda)= \frac{speed(c)}{frequency(f)}}\)
\( \rightarrow \sf \: \lambda = \frac{3 \times {10}^{8} }{8.2 \times {10}^{14} } \\ \\ \rightarrow \sf \: \lambda = \frac{3 \times {10}^{8} \times {10}^{ - 14} }{8.2} \\ \\ \rightarrow \sf \: \lambda = 0.36 \times {10}^{6} \\ \\ \rightarrow \sf \: \lambda = 36 \times {10}^{4}m\)
Sofia goes on a hike on a trail that is 10 km long. She starts at 2:00pm and ends at 5:00pm. The end of the trail is 300m north of the beginning of the trail. What is Sofia's average velocity? (Velocity= displacement/time) Question 12 options: 100 m/hr S 30 m/hr S. 01 m/hr S 3. 3 m/hr S.
As the question depicts the trail is 10Km long but the end of the trail is 300m north from the beginning, Here the average velocity comes out to be 100m/hr.
What is Velocity?Velocity is defined as the displacement covered by an object or a body in unit time interval.
From the problem, it is clear that the distance is 10Km but the displacement comes out to be 300m.
The time from 2:00 pm to 5:00 pm is a total of 3hours.
Now, the velocity is determined from the following formula
\(V=\dfrac{d}{t}\)
here,
d= displacement
t= time
So, by putting values in above formula we get,
\(V=\dfrac{300 m}{3 hrs}\)
\(V=100m/hr\)
So, the average velocity of Sofia is 100m/hr
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Which type of ignition occurs when a mixture of fuel and oxygen encounter an external heat source with sufficient heat or thermal energy to start the combustion process?
Select one:
a. Primary ignition
b. Kinetic ignition
c. Autoignition
d. Piloted ignition
The type of ignition that occurs when a mixture of fuel and oxygen encounters an external heat source with sufficient heat or thermal energy to start the combustion process is known as Piloted ignition. The correct answer is option D.
Piloted ignition is a type of ignition that happens when a mixture of fuel and oxygen encounters an external heat source with sufficient heat or thermal energy to start the combustion process. A spark is not needed for this to happen. The external heat source could be a burning cigarette, a spark from an electrical source, or any other heat source that has the ability to produce heat. When a combustible fuel is introduced into a space with air, the mixture becomes flammable when it reaches a certain concentration.
When the fuel-air mixture is heated to a high temperature, the reaction takes place and the fuel ignites. This reaction is piloted ignition. The two other types of ignition are autoignition and kinetic ignition. Autoignition is when a combustible fuel ignites spontaneously due to its high temperature and pressure. It is used in diesel engines. Kinetic ignition is when a high-velocity flame from a spark or other ignition source ignites the fuel. It is used in gasoline engines.
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Santa's sleigh flies at 3 times the
speed of sound. That's a
whopping 1.04 x 106 m/s. Santa's
sleigh actually makes a Sonic Boom
when it surpasses the speed of
sound! (keep your ears open for
that on Christmas Eve!). How
much kinetic energy must Santa's
sleigh have if its mass is 7,500 kg?
(Let us assume he is not carrying
ALL 7.5 billion presents at once!)
Mass of Santa's sleigh = 7500kg
3 x Speed of sound = 3704km/h
Kinetic Energy = 1/2 mv²
= ½ (7500)(3704)²
Kinetic Energy = 3969796931.4637 J
What is sonic boom?
A loud, explosive sound produced by a by a plane's shock wave when it flies faster than sound.
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the line segment joining the points (0, 5) and(7, 7) is revolved about the x-axis to generate a frustum of a the surface area of the frustum using the parametrizationx
The surface area of the frustum generated by revolving the line segment joining the points (0, 5) and (7, 7) about the x-axis can be determined using parametrization.
To find the surface area of the frustum, we can use the method of parametrization. The frustum is formed by rotating the line segment about the x-axis, and we can parametrize the curve generated by the rotation.
Let's consider a parameter t that ranges from 0 to 1. We can express the x-coordinate of the curve as x = t * 7 and the y-coordinate as y = 5 + t * 2. The parameter t represents the progression along the line segment, ranging from 0 at the point (0, 5) to 1 at the point (7, 7).
To calculate the surface area, we need to find the differential element of arc length ds. For a curve given by parametric equations x = f(t) and y = g(t), the differential element of arc length can be expressed as ds = \(\sqrt{x} ((dx/dt)^2 + (dy/dt)^2) * dt\).
Substituting the parametric equations into the formula, we have ds = \(\sqrt((7^2 + 2^2)) * dt = sqrt(53) * dt.\)
To find the surface area of the frustum, we integrate ds from t = 0 to t = 1: \(Area =\int\limits^0_1 \, dx \sqrt(53) * dt.\)
Integrating this expression yields the surface area of the frustum. Therefore, by using parametrization and evaluating the integral, the surface area of the frustum generated by revolving the line segment (0, 5) to (7, 7) about the x-axis can be determined.
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0
What is 33 C in absolute temperature? hs
Answer:
33 Celsius is 306.15 in absolute temperature
Acceleration is a change in what quantity Over time?A- speed B- distance C- force D- displacement
To find
Acceleration is a change in what quantity Over time?
Explanation
Acceleration is defined as the change in velocity with respect to time interval.
Conclusion
The required quantity is
A. speed
If you have a mass of 55 kg and you are standing 3 meters away from your car, which has a mass of 1233 kg, how strong is the force of gravity between you and the car ?
Answer:
5.03×10¯⁷ N
Explanation:
From the question given above, the following data were obtained:
Mass of the person (M₁) = 55 Kg
Mass of the car (M₂) = 1234 Kg
Distance apart (r) = 3 m
Gravitational constant (G) = 6.673×10¯¹¹ Nm²/Kg²
Force (F) =?
The force between the person and his car can be obtained as follow:
F = GM₁M₂ / r²
F = 6.673×10¯¹¹ × 55 × 1234 / 3²
F = 6.673×10¯¹¹ × 67870/ 9
F = 5.03×10¯⁷ N
Thus, the force between the person and his car is 5.03×10¯⁷ N
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 3 of 5 : Specify if the test is one-tailed or two-tailed. Answer 2 Points Keyboard Shortcuts One-Tailed Test Two-Tailed Test Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 1 of 5: Enter the hypotheses: Answer 2 Points Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million ( ppm ). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Answer How to enter your answer (opens in new window) 2 Points Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 5 of 5 : Enter the conclusion. Answer 2 Points Keyboard Shortcuts Reject Null Hypothesis Fail to Reject Null Hypothesis Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 4 of 5 : Enter the decision rule. Answerhow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Reject H 0
if z
Assuming that the standard deviation is known to be 1.1, for a mean of 1080 samples, it can be said that the data supports the claim that the current ozone level is insufficient at the 0.02 level.
Step 1 of 5: Enter the hypotheses:
Null hypothesis (H0): The current ozone level is sufficient (μ = 7.0 ppm)
Alternative hypothesis (H1): The current ozone level is insufficient (μ < 7.0 ppm)
Step 2 of 5: Enter the value of the z-test statistic:
To find the z-test statistic, we'll use the formula:
z = (X' - μ) / (σ / √n)
where:
X' = sample mean = 6.9 ppm
μ = population mean = 7.0 ppm
σ = standard deviation = 1.1 ppm
n = sample size = 1080
Substituting the values into the formula:
z = (6.9 - 7.0) / (1.1 / √1080)
z = -0.1 / (1.1 / 32.863)
z ≈ -0.1 / 0.033157
z ≈ -3.018
Step 4 of 5: Enter the decision rule:
Since the alternative hypothesis is one-tailed (μ < 7.0 ppm), we need to compare the z-test statistic with the critical value for the given significance level.
At a significance level of 0.02, the critical value can be found using a z-table or a calculator. For a one-tailed test, the critical value is approximately -2.055.
Step 5 of 5: Enter the conclusion:
The z-test statistic (-3.018) is smaller than the critical value (-2.055). Therefore, we reject the null hypothesis.
Conclusion: The data supports the claim that the current ozone level is insufficient at the 0.02 level.
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5.
A train is moving on a straight track with a speed of 70.0km/h [E]. It slows down at a rate
of 2.00m/s2 [W] in a distance of 35.0m. Determine
a.The final speed of the train. b.How much time the train took to slow down to this speed.
Answer:
t = 1.659s
Explanation:
We can use the kinematics equations to solve this questions:
v = u + at
\(v^{2} = u^{2} +2as\)
where v = Final Velocity, u = initial velocity, a = acceleration, t = time, s = displacement
a) Given information from the question,
u = \(\frac{70km}{h} =\frac{(70*1000)m}{(1*3600)s} = 19.444m/s\) (Convert km/h to m/s first)
a = \(2m/s^{2}\)
s = 35m
Now we can substitute these values into the 2nd kinematics equation to find v, final velocity.
\(v^{2} =(19.444)^{2} +2(2)(35)\\v=\sqrt{(19.444)^{2} +2(2)(35)} \\v= 22.761m/s (5.sf)\\\)
b) Now we have the final velocity, we can substitute the values into the first kinematics equation to find t , the time taken.
v = u + at
22.761 = 19.444 + 2t
2t = 22.761 - 19.444
t =\(\frac{22.761-19.444}{2}\)
t = 1.659s
The quantity that is the same at all points in a series circuit is: current voltage power resistance
Answer:
On this page, we'll outline the three principles you should understand regarding series circuits: Current: The amount of current is the same through any component in a series circuit. Resistance: The total resistance of any series circuit is equal to the sum of the individual resistances
The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).
The current in a series circuit is constant all the way around. This means that the same amount of current flows through each component, such as resistors, lamps, or other devices, connected in series.
The current is measured in units of amperes (A) and is determined by the voltage applied to the circuit and the total resistance in the circuit according to Ohm's law (I = V/R).
Therefore, The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).
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Which element on the periodic table fights dandruff, directs drivers, and makes copies of your homework?
Answer:
Talc is the known mineral
classify each property as either something that we can observe or measure directly (with the aid of a telescope and instruments such as cameras or spectrographs) or something that we must infer indirectly
The properties that can be observed from the use of telescope and other instruments include colour, parallax angle, spectral type, apparent brightness. The things that are inferred indirectly are luminosity, surface temperature, mass and radius.
A binary star is a system of two stars that are gravitationally bound to orbit around each other. Binary system in the night sky that are seen as a single object using the eye are often resolved using a telescope as separate stars known as visual binaries.
However, we can measure a star's mass directly if it is a member of an eclipsing binary system.
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The diaphragm can be moved without being breathing true or false
Answer: i do not beleave so
Explanation: The diaphragm helps expand your lungs when you breath and you have to puposly use it in order to sing/ yell so it has no reason to move without breathing.
An electron (me = 9.1 x 10-31 kg) traveling south at a constant speed of 5.0 x 106 m/s enters a
region where the downward component of earth's magnetic field is 3.5 x 10-5 T. What is the
magnitude and direction of the acceleration of the electron at this instant?
Answer:
F = Q V X B
V X B = south X downard = East - deflection is West
Since Q is negative the deflection = West
a = F / m = Q V B / m
a = 1.6E-19 * 5*E6 * 3.5E-5 / 9.1E-31
a = 1.6 * 5 * 3.5 / 9.1 * 10^13 m/s^2 = 3.1 * 10^13 m/s^2
A 10 kg mass is attached to a spring with a spring constant k= 140 N/m. The mass starts in motion at its equilibrium position with an initial velocity of 1 m/sec in the upward direction. The damping force is 90 times the velocity. Find the equation of motion if there is also an applied external force of f(t) = 5 sint. (12pts) What is the steady-state solution ( as t)? (3pts)
The equation of motion for the given system, considering the damping force and the external force, can be determined using Newton's second law.
What is the equation of motion for the given system with damping force and external force?The equation of motion for the system can be expressed as:
\(m * a + c * v + k * x = f(t)\)
Where:
m = mass of the object (10 kg)a = acceleration (second derivative of displacement with respect to time)c = damping coefficient (90 times the velocity)v = velocity (first derivative of displacement with respect to time)k = spring constant (140 N/m)x = displacement from the equilibrium positionf(t) = external force (5 sin(t))Using Newton's second law (F = ma), we can rewrite the equation as:
\(10 * (d^2x/dt^2) + 90 * (dx/dt) + 140 * x = 5 * sin(t)\)
This is the equation of motion that describes the behavior of the system, taking into account the mass, damping force, spring constant, and the applied external force.
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How many milliliters would be fruit juice for 100 milliliters of juice?
The total amount of liquid will still be 100 milliliters.
What is milliliters?Milliliters (mL) is a unit of volume measurement that is equal to the volume of a cube that is 1 cm on each side. It is commonly used to measure liquids, such as milk, juice, or medicine. Milliliters can also be used to measure dry ingredients, such as flour or sugar. One milliliter is equal to 0.001 liters, or about 0.034 fluid ounces.
For 100 milliliters of juice, you would need 100 milliliters of fruit juice. In other words, the amount of fruit juice required to make 100 milliliters of juice is the same as the amount of juice you are starting with. This is because when you mix fruit juice with water, the total amount of liquid remains the same. So if you start with 100 milliliters of juice and then add 100 milliliters of water, the total amount of liquid will still be 100 milliliters.
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Please help me
27. A 20 kg object is at rest. A 6 N force pulls to the right on
the object for 10 seconds.
A) Find the impulse on the object.
B) Find the final momentum of the object.
C) What is its final velocity?
Answer:
a. 60 N*s
b. 60 (kg*m)/s
c. 3 m/s
Explanation:
Givens:
m = 20 kg
v_i = 0 m/s
t = 10 s
F = 6 N
a) Impulse:
I = F*t
I = 6 N*10 s
I = 60 N*s
b) Momentum:
p = v*m
F = m(a)
a = F/m
a = 6 N/20 kg
a = 0.3m/s^2
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
p = 3 m/s*20 kg
p = 60 (kg*m)/s
c. Final velocity
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
The impulse, momentum and final velocity can all be obtained from Newton's second law.
Let us recall that the impulse is obtained as the product of force and time.
Impulse = Force × time
Impulse = 6 N × 10 s = 60 Ns
From Newton's second law of motion;
F.t = mv - mu
Since the object was initially at rest;
F.t = mv
Hence, the final velocity of the object is 60 Kgms-1
The final velocity is obtained from;
F.t = mv
v = F.t/m
v = 6 × 10/20
v = 3 m/s
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