Answer:
i need help with this to
Explanation:
How is the frictional force produced? please answer my question in simple language..
Explanation:
Frictional force is produced when two different objects are in very close contact and are slided against each other.
It also depends on the roughness of the object i.e, the rougher will be the object the higher friction will be produced and vice-versa.
A small candle is 35 cm from a concave mirror having a radius of curvature of 24 cm. (a) What is the focal length of the mirror? (b) Where will the image of the candle be located? (c) Will the image be upright or inverted?
(a) To find the focal length of the concave mirror, we can use the mirror formula:
1/f = 1/v - 1/u
1/f = 1/v - 1/-35
1/f = 1/v + 1/35
1/f = (35 + v) / (35v)
where f is the focal length, v is the image distance, and u is the object distance. In this case, the object distance u is given as 35 cm (negative since it is in front of the mirror) and the radius of curvature R is given as 24 cm (positive for a concave mirror).
Using the formula, we can calculate the focal length:
1/f = 1/v - 1/u
1/f = 1/v - 1/-35
1/f = 1/v + 1/35
1/f = (35 + v) / (35v)
Since the mirror is concave, the focal length will be positive. Thus, we can set up the equation: 1/f = (35 + v) / (35v)
f = (35v) / (35 + v)
(b) The location of the image can be found using the mirror equation:
1/f = 1/v - 1/u
We already know the focal length f and the object distance u. Solving for v: 1/v = 1/f + 1/u
v = 1 / (1/f + 1/u)
Substituting the values, we get:
v = 1 / (1/f + 1/-35)
(c) To determine if the image will be upright or inverted, we need to determine the nature of the image formed by the concave mirror. For an object placed beyond the focal point of a concave mirror, the image formed will be real, inverted, and located between the focal point and the center of curvature.
Therefore, the image of the candle will be real, inverted, and located between the focal point and the center of curvature of the concave mirror.
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What is the period and frequency of the second hand on a clock?
Answer:
Explanation:For second hand, period = 1 min = 3660 s; frequency = 0.0166 Hz}\\\mbox{For minute hand, period = 1 hr = 3600 s; frequency = 2.77}\times10^{-4} Hz\\\mbox{For hour hand, period = 12 hrs = 4300 s; frequency = 2.3}\times10^{-5} Hz.
When I got to my cabin at camp, the other campers showered me with a chorus of greetings. "I’m Alex,” the red-headed boy closest to me said. "Javier,” called the boy with the glasses sitting next to him. "Miguel,” waved the boy in the corner. He was sitting surrounded by a pile of comic books. A fourth boy, taller than the rest, walked up and shook my hand. "I’m Asher. Grab a bunk.”
Why did the author most likely use dialogue instead of description?
A.to allow the plot to progress
B. to show how the narrator felt
C. to emphasize the point of view
D.to show who the characters are
the answer is C
c
Explanation: c because you said it lol
Answer:
c
Explanation:
What factors determine the distance at which two atoms form a bond ?
Answer:
The length of the bond is determined by the number of bonded electrons (the bond order). The higher the bond order, the stronger the pull between the two atoms and the shorter the bond length. Generally, the length of the bond between two atoms is approximately the sum of the covalent radii of the two atoms.
Explanation:
Una cuerda de longitud 9,8 metros se somete a una tensión de 500N. Si su masa es de 93 kilogramos. La densidad lineal es:
The linear density of the string is 9.49 kg/m.
What is the Linear density?Linear density is commonly used in physics and engineering to analyze the properties and behavior of strings, wires, and cables.
Linear density (ρ) is defined as the mass per unit length of a string or wire. To find the linear density, we can divide the mass of the string by its length. Given that the string has a length (L) of 9.8 meters and a mass (m) of 93 kilograms, we can use the formula:
ρ = m / L
Plugging in the values, we have:
ρ = 93 kg / 9.8 m
Calculating this, we find:
ρ ≈ 9.49 kg/m
the linear density of the string is approximately 9.49 kg/m.
Therefore, that for every meter of the string, there is an average mass of 9.49 kg.
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How many sig figs are in 0.32
What would 7.68 cal/sec be if it were converted to kcal/sec?
Answer:
0.00768 kcal/sec
Explanation:
Tim rides at an average speed of 8 mph (mile per hour). How long does it take
for him to ride 44 miles h (show process)
Answer: 5.5 hours
Explanation: 44/8=5.5.
Answer:
5.5 Hours at 8mph to go 44 miles
Explanation:
d=s/t
t=s/d
44/8 = 5.5 time it took 5.5 hours it will take him to ride 44 miles
Jeremiah rides his bicycle 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours?
Answer:
24 miles.
Explanation:
3 hours=180 minutes
180÷30=6
6x4=24
When particles of matter absorb electrical energy, they change
it to heat or blank
When particles of matter absorb electrical energy, they change it to heat or light, depending on the nature of the material and the specific conditions.
The transformation of electrical energy into heat is a common outcome when particles within a material gain energy due to the electrical current passing through it. This process is known as Joule heating or resistive heating. It occurs due to the resistance of the material, which converts the electrical energy into thermal energy, resulting in an increase in temperature.
Alternatively, when electrical energy is absorbed by certain materials or substances, it can be converted into light energy. This phenomenon is observed in devices such as light bulbs, LED lamps, and other lighting systems, where electrical energy is transformed into visible light. In these cases, the electrical energy excites electrons within the material, causing them to transition to higher energy states and subsequently release energy in the form of photons (light).
Therefore, the two common forms of energy conversion when particles of matter absorb electrical energy are heat and light. The specific outcome depends on factors such as the material's properties, electrical conditions, and intended use of the energy.
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1zzes and holecules Quiz 100 Analyse the structure of the carbohydrate shown. Name the type of linkage present d Practical 0%) SOM) conduct Info CH, OH CH,OH H H OH OH نزا H OH CH, OH ne ОН OH H vices O 0-1.2. O glycosidic linkage OB: 1,4-N-lycosidie linkage O 0-1.4-N-glycosidie linkage 0-1,6-0-glycosidic linkage OB-1,40 glycosidic linkage Help .
The structure of the carbohydrate shown indicates the presence of an O-glycosidic linkage. The specific type of O-glycosidic linkage is a 1,4-N-glycosidic linkage, where the bond is formed between the anomeric carbon (C1) and a hydroxyl group (OH) on another molecule.
This type of linkage is commonly found in carbohydrates. Carbohydrates are organic compounds composed of carbon, hydrogen, and oxygen atoms. They can exist as monosaccharides (simple sugars), disaccharides (two monosaccharides linked together), or polysaccharides (multiple monosaccharides linked together).
The given structure of the carbohydrate shows multiple hydroxyl groups (OH) attached to carbon atoms (C) within the molecule. The presence of these hydroxyl groups indicates the potential for glycosidic linkages, which are covalent bonds formed between the hydroxyl group of one sugar molecule and the anomeric carbon (C1) of another sugar molecule.
In this case, the specific type of glycosidic linkage present is an O-glycosidic linkage. This means that the bond is formed between the anomeric carbon (C1) of one sugar molecule and a hydroxyl group (OH) on another molecule. The numbering system used in carbohydrate structures denotes the position of the carbon atoms.
The O-glycosidic linkage in question is a 1,4-N-glycosidic linkage. The "1" refers to the anomeric carbon (C1) of the sugar molecule, and the "4" indicates that the bond is formed with the hydroxyl group on the fourth carbon (C4) of another sugar molecule. The "N" indicates that the linkage is formed with a hydroxyl group present in the nitrogenous component of the carbohydrate.
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Anita drives for 3 hours at a speed of 60 km/h. How far will she travel?
Answer:
She will travel 180 kilometers.
Explanation:
You take the time and multiply it by your distance, and you get your total distance.
d = v.t
d = 60 km/h x 3 h
d = 180 km
Two students, X and Y, perform an experiment so that they can study standing waves. One end of a string is attached to an oscillator and the other end passes over a pulley and is connected to a hanging block. The oscillator can be adjusted to form different patterns of standing waves in the string. The students adjust the oscillator so that it makes the standing wave that is shown in the figure. Student X then makes the following statement:
"Increasing the frequency of oscillation of the oscillator will still produce the same standing wave on the string if the distance L between where the string is in contact with the pulley and where the string is in contact with the oscillator remains constant and the mass of the hanging block remains constant."
Which of the following claims is correct about student X’s statement? Justify your selection.
a. The same standing wave will be produced on the string, because the wavelength and speed of the standing wave remains constant.
b. The same standing wave will be produced on the string, because a constant hanging mass will produce a constant tension in the string.
c. The same standing wave will not be produced, because the tension in the string will increase when the frequency is increased.
d. The same standing wave will not be produced, because the wavelength of the possible standing wave will decrease.
The Student X's statement is correct. Increasing the frequency of oscillation of the oscillator will still produce the same standing wave on the string if the distance L between where the string is in contact with the pulley and where the string is in contact with the oscillator remains constant and the mass of the hanging block remains constant.
This is because the wavelength and speed of the standing wave remain constant. The frequency of the oscillator determines the number of waves that are produced per unit time, but the wavelength is determined by the distance between the oscillator and the pulley. The speed of the wave is determined by the tension in the string and the mass per unit length of the string. Since the mass of the hanging block remains constant, the tension in the string will also remain constant, resulting in the same standing wave being produced. Therefore, claim (a) is correct. Claim (b) is also correct, but it does not provide a sufficient explanation for why the same standing wave will be produced. Claims (c) and (d) are incorrect because they do not take into account the fact that the distance L between the oscillator and the pulley remains constant.
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First question can either be “Wavelength” or “amplitude”, same for the second question. Third and fourth question can either be “the same frequency” or “different frequencies”. Please help me.
The red wave has a greater amplitude because its height is greater than the height of the blue wave.
Both waves have the same wavelength because the distance between crests is the same.
They have the same frequency because they are traveling at the same rate.
What is amplitude?The amplitude of a periodic variable is described as a measure of its change in a single period.
The amplitude of a non-periodic signal is also its magnitude compared with a reference value.
We can say that the amplitude is half the distance between the maximum and minimum height.
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A compass taken to Earth's moon does not point in a specific direction on the moon.
What is the most likely reason for the difference between how the compass works on Earth and on the moon?
A) The moon lacks an atmosphere.
B) The moon contains no rocks that have iron.
C) The moon does not have a strong magnetic field.
D) The moon has no bodies of water.
Answer:
C.
Explanation:
The moon does not have a strong magnetic field. This is the most likely reason for the difference between how the compass works on Earth and on the moon. Hence option C is correct.
What is magnetic field ?The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. Paramagnetism, diamagnetism, and antiferromagnetism are three additional magnetic effects that a nonuniform magnetic field may have on "nonmagnetic" materials, albeit these forces are often so minute that they can only be detected by laboratory equipment. Electric currents, such those utilised in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetised objects.
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A heat conduction equation is given as follow: ∂2T /∂x2=1/2 ∂T /∂t
and is valid for the case where 00. The boundary conditions are T(0,t)=T(3,t) =0 and the initial condition is T(x,0)=5sin(4πx). a. By using separation of variable by taking T(x,t)=M(x)N(t), find the expression for both d2M/dx2 and dN/dt in the general form of M and N. b. By defining separation constant first, solve the ODE of d2M/dx2 and dN/dt by getting the general expression of these equations. c. From answer of part [b], simplify your arbitrary constant to get an equation to define T(x,t). Remember T(x,t)=M(x)N(t). d. By using the B.C. and I.C., find the arbitrary constants you have defined in part [c] and prove that T(x,t)=5sin(4πx)e−32π2t
(a) To apply separation of variables, we assume T(x,t) = M(x)N(t), and substitute it into the heat conduction equation. This leads to two separate equations: d²M/dx² = -λ²M and dN/dt = -λ²/2N.
(b) For N(t), the ODE dN/dt = -λ²/2N has the general solution N(t) = \(Ce^{-\lambda^2t/2}\), where C is an arbitrary constant.
(c) From the general expressions of M(x) and N(t), we combine them to define T(x,t) = (Acos(λx) + Bsin(λx). Hence, T(x,t) = \(5sin(4\pi x)e^(\lambda^2t/2)\).
(d) The arbitrary constant is determined as λ² = (4π)², which gives us λ = 4π. Thus, the final solution is T(x,t) = \(5sin(4\pi x)e^{-32\pi^2t}\).
a. To apply separation of variables, we assume T(x,t) = M(x)N(t), and substitute it into the heat conduction equation.
By differentiating twice with respect to x and once with respect to t, we obtain: ∂²M/∂x²N + 1/2M∂N/∂t = 0.
Since the left side depends on x and the right side depends on t, both sides must be equal to a constant, which we denote as -λ².
This leads to two separate equations:
d²M/dx² = -λ²M and dN/dt = -λ²/2N.
b. By solving the ODE for M(x), d²M/dx² = -λ²M,
we find that M(x) has the general form M(x) = Acos(λx) + Bsin(λx), where A and B are constants determined by the boundary conditions T(0,t) = T(3,t) = 0.
For N(t), the ODE dN/dt = -λ²/2N has the general solution:
N(t) = \(Ce^{-\lambda^2t/2}\), where C is an arbitrary constant.
c. From the general expressions of M(x) and N(t), we combine them to define:
T(x,t) = (Acos(λx) + Bsin(λx))\(Ce^{-\lambda^2t/2}\).
Simplifying the arbitrary constant C, we can rewrite it as
C = 5sin(4πx)/M(x) at t = 0,
which corresponds to the initial condition
T(x,0) = 5sin(4πx).
Hence, T(x,t) = \(5sin(4\pi x)e^{\lambda^2t/2}\).
d. Applying the boundary conditions T(0,t) = T(3,t) = 0,
we find that sin(λx) should be zero at x = 0 and x = 3.
This gives us λ = nπ/3, where n is an integer.
Substituting this value of λ into the expression for T(x,t), we obtain
T(x,t) = \(5sin(4\pi x)e^{-32\pi^2t}\),
which matches the given solution
T(x,t) = \(5sin(4\pi x)e^{-32\pi^2t}\).
Therefore, the arbitrary constant is determined as λ² = (4π)², which gives us λ = 4π.
Thus, the final solution is T(x,t) = \(5sin(4\pi x)e^{-32\pi^2t}\).
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An electromagnetic wave with a frequency of 4.60×10^14 Hz propagates with a speed of 2.14×10^8 m/s in a certain piece of glass.
aFind the wavelength of the wave in the glass.
bFind the wavelength of a wave of the same frequency propagating in air.
cFind the index of refraction of the glass for an electromagnetic wave with this frequency.
dFind the dielectric constant for glass at this frequency, assuming that the relative permeability is unity.
a) The wavelength of the wave in the glass can be calculated using the formula:
wavelength = speed of light in vacuum / (index of refraction of glass) = c/n
where c is the speed of light in vacuum (3.00 x 10^8 m/s).
Using the given frequency and speed of light in glass, we can calculate the index of refraction of glass as:
n = speed of light in vacuum / speed of light in glass
n = c / v = 3.00×10^8 m/s / 2.14×10^8 m/s = 1.4028
Now, we can calculate the wavelength of the wave in glass as:
wavelength = c/n = (3.00×10^8 m/s) / 1.4028 = 2.14×10^-7 m
Therefore, the wavelength of the wave in the glass is 2.14 x 10^-7 meters.
b) The frequency of the wave remains the same when it propagates from glass to air. Therefore, the wavelength of the wave in air can be calculated using the formula:
wavelength = speed of light in vacuum / frequency = c/f
where c is the speed of light in vacuum and f is the frequency of the wave.
Substituting the given values, we get:
wavelength = c/f = (3.00×10^8 m/s) / 4.60×10^14 Hz = 6.52×10^-7 m
Therefore, the wavelength of the wave in air is 6.52 x 10^-7 meters.
c) The index of refraction of glass can be calculated as:
n = speed of light in vacuum / speed of light in glass
n = c / v = 3.00×10^8 m/s / 2.14×10^8 m/s = 1.4028
Therefore, the index of refraction of the glass for an electromagnetic wave with this frequency is 1.4028.
d) The dielectric constant for glass at this frequency can be calculated using the formula:
dielectric constant = (speed of light in vacuum)^2 / [(speed of light in glass)^2 x permeability of free space]
dielectric constant = (c^2) / [(v^2) x μ0]
where μ0 is the permeability of free space, which is equal to 4π × 10^-7 T·m/A.
Substituting the given values, we get:
dielectric constant = (c^2) / [(v^2) x μ0]
dielectric constant = (3.00×10^8 m/s)^2 / [(2.14×10^8 m/s)^2 x (4π × 10^-7 T·m/A)]
dielectric constant = 7.95
Therefore, the dielectric constant for glass at this frequency, assuming that the relative permeability is unity, is 7.95.
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what is rotation in your own words. and you have to be detailed
Answer:
The action of rotating around something like for ex.. Child A stands in the middle of a room while Child B goes around Child A, Child B is rotating around Child A. Another ex. is; The earth rotates around the sun every 365 days the earth is rotating or going around the sun in a circle. So rotating to me is the act of rotating around something in any way shape or form.
PS: A middle schooler answered this so if you don't wanna believe me or think I'm wrong because I am younger you do you.
Which of the following is most likely to require direct current (DC) for proper operation?
a. A blender
b. A flashlight
c. An electric heater
d. A microwave oven
Answer:
the answer is b
Explanation:
Length of table is 1.0m,1.00m and 1.000m.Which one is more accurate?
Answer:
1.00 m is a more accurate measured length.
Explanation:
Denote length of the table by L.
For L=1.0 m, there is one significant digit after the decimal.
Care 1: When one more significant digit after decimal considered, the exact number can be from 0.95 to 1.05.
So, the possible span of error \(\Delta E_1= 1.05-0.95= 0.1m\)
For L=1.00 m, there is two significant digits after the decimal.
Case 2: When one more significant digit after decimal considered, the exact number can be from 0.095 to 1.005.
So, the possible span of error \(\Delta E_2= 1.005-0.095= 0.01m\)
Case 3: For L=1.000 m, there is three significant digits after the decimal.
When one more significant digit after decimal considered, the exact number can be from 0.0095 to 1.0005.
So, the possible span of error \(\Delta E_3= 1.0005-0.0095= 0.001m\)
As \(\Delta E_1 >\Delta E_2>\Delta E_3\)
So, the least error is in the third case when L=1.00m, hence, L= 1.00m is more accurate.
Name the following.A subatomic particle that carries a negative charge.
An electron is a subatomic particle that carries a negative charge.
An electron is a subatomic particle that carries a negative electric charge. It is one of the three main subatomic particles that make up an atom, along with protons and neutrons. Electrons have a very small mass compared to protons and neutrons, and are found outside the nucleus of an atom, in the electron cloud or electron shell. The number of electrons in an atom is equal to the number of protons in the nucleus, which means that atoms are electrically neutral.
The behavior of electrons is described by quantum mechanics, and it is responsible for the chemical properties of an atom. The electrons are arranged in energy levels or orbitals around the nucleus. The outermost energy level is called the valence shell, and the number of electrons in this level determines the chemical reactivity of the atom.
In chemical reactions, electrons can be transferred from one atom to another, forming chemical bonds. This is the basis for the formation of molecules and compounds. The movement of electrons also gives rise to electrical phenomena such as electric current and magnetism.
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Complete question:
The subatomic particle that carries negative charge
A. Electron
B. Proton
C. Neutron
D. None of these
When a 2.75-kg fan, having blades 18.5 cm long, is turned off, its angular speed decreases uniformly from 10.0 rad/s to 6.30 rad/s in 5.00 s. (a) What is the magnitude of the angular acceleration of the fan? (b) Through what angle (in degrees) does it turn while it is slowing down during the 5.00 s? (c) If its angular acceleration does not change, how long after it is turned off does it take the fan to stop.
The magnitude of the angular acceleration of the fan is approximately 0.74 rad/s². The fan turns approximately 1800 degrees while slowing down during the 5.00 s. Meanwhile, if the angular acceleration does not change, it would take the fan approximately 0 seconds to stop after being turned off.
(a) To find the magnitude of the angular acceleration of the fan, we can use the formula for angular acceleration:
\(angular acceleration (a) =\frac{d (change in angular speed)}{time}\)
Initial angular speed (ω1) = 10.0 rad/s
Final angular speed (ω2) = 6.30 rad/s
Time (t) = 5.00 s
Using the formula:
\(a = \frac{w2 - w1}{t} \\a =\frac{6.30 rad/s - 10.0 rad/s}{5.00 s}\)
Calculating the expression, we find:
α = -0.74 rad/s^2
The magnitude of the angular acceleration of the fan is approximately 0.74 rad/s^2.
(b) To determine the angle through which the fan turns while slowing down, we can use the formula for angular displacement:
\(angular displacement (θ) =\frac{initial angular speed + final angular speed}{2 x time} \\\)
θ = (ω1 + ω2) / 2 x t
θ = (10.0 rad/s + 6.30 rad/s) / 2 x 5.00 s
Calculating the expression, we find:
θ = 31.5 rad
To convert the angle from radians to degrees:
θ_degrees = θ x (180° / π rad)
θ_degrees = 31.5 rad x (180° / π rad)
Calculating the expression, we find:
θ_degrees ≈ 1800°
Therefore, the fan turns approximately 1800 degrees while slowing down during the 5.00 s.
(c) If the angular acceleration does not change, we can use the formula for time to stop:
time to stop = (final angular speed) / (angular acceleration)
Final angular speed (ω2) = 0 rad/s (when the fan stops)
Using the formula:
time to stop = ω2 / α
time to stop = 0 rad/s / -0.74 rad/s^2
Calculating the expression, we find:
time to stop ≈ 0 s
Therefore, if the angular acceleration does not change, it would take the fan approximately 0 seconds to stop after being turned off. 0.74 rad/s² is the magnitude of the angular acceleration of the fan. While slowing down during the 5.00 s, the fan turns approximately 1800 degrees.
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The electric field 0.385 m from a very long uniform line of charge is 810 N/C
How much charge is contained in a section of the line of length 2.50 cm?
The charge contained in a section of the line of length 2.50 cm is 8.87 × 10⁻¹⁰ C.
The formula for electric field intensity of a line charge is given by:E= λ/2πε₀rwhere,λ is the linear charge density of the line.ε₀ is the permittivity of free space.r is the perpendicular distance of the point from the line charge.
Electric field intensity, E = 810 N/CandDistance, r = 0.385 mUsing the above formula, we can find the value of linear charge density of the line.λ = 2πε₀Erλ = 2 × π × 8.85 × 10⁻¹² × 810 × 0.385λ = 3.55 × 10⁻⁸ C/mLength of the section of the line, L = 2.5 cm = 0.025 mWe need to find the charge present in a section of the line of length 2.50 cm.Since the linear charge density of the line is 3.55 × 10⁻⁸ C/m,Charge in a section of the line of length 0.025 m = λLq = λLq = 3.55 × 10⁻⁸ × 0.025q = 8.87 × 10⁻¹⁰ C
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A Canadian college student who has taken an astronomy class goes home for the holidays and persuades his parents to let him borrow the family car. When he returns, he finds that his parents are very angry with him, claiming he left the garage door open. Yet he remembers that he carefully closed the garage door with the electronic remote control in the car. After consulting with his astronomy instructor, he comes up with an alternative explanation for why the garage door is open. Which of the following is PART of that explanation?
a. The Sun was so bright and high in the sky in December in Canada that it got into his
parents' eyes
b. There was an eclipse of the Sun
c. It was a time of solar maximum, and there had been a big flare on the Sun earlier
d. No aurorae had been seen in the sky for many months
e. The number of sunspots had reached an all-time minimum
c. It was a time of solar maximum, and there had
Answer:
Option C, It was a time of solar maximum, and there had been a big flare on the Sun earlier
Explanation:
It was solar maximum due to which the amount of magnetic flux on the sun's surface rises up
This causes high frequency radio blackouts and interrupt with the communication on earth
Some times they also cause ripple effect in the electronic items as in the remote control used by the college student. They can disrupt the electronic communications.
Hence, option C is correct
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
The answer is number 2 :)
Answer:
A
Explanation:
yeah physics
Accerelation is the same of everything, regardless of mass. The only thing that affects is aerodynamics of the thing
Dizzy is speeding along at 27.9 m/s as she approaches the level section of track near the loading dock of the Whizzer roller coaster ride.A braking system abruptly brings the 339-kg car (rider mass included) to a speed of 3.25 m/s over a distance of 5.19 meters. Determine the magnitude of the braking force (in newtons) applied to Dizzy's car.Answer: ____________ N (round to the nearest whole number)
The magnitude of the braking force is given by:
\(f=ma=m\frac{{v_f}^2-v_0^2}{2d}\)Replace the values of m=339kg, v_f=3.25m/s, v_0=27.9m/s and d=5.19m to find the magnitude of the braking force:
\(f=(339kg)\times\frac{(3.25\frac{m}{s})^2-(27.9\frac{m}{s})^2}{2(5.19m)}=-25,077.1...N\)The minus sign accounts for the fact that the car is decelerating.
Therefore, the magnitude of the braking force is approximately 25,077N.
An aerobatic airplane pilot experiences
weightlessness as she passes over the top of
a loop-the-loop maneuver.
The acceleration of gravity is 9.8 m/s^2
If her speed is 280 m/s at this time, find the
radius of the loop.
Answer in units of km.
For weightless object, gravity is equal to centripetal acceleration. The radius of the loop is calculated as 8 km.
What is centripetal acceleration?The property of the motion of an object traversing a circular path is known as centripetal acceleration. Any object that is moving in circle and has an acceleration vector pointed towards center of that circle is Centripetal acceleration.
As Centripetal Acceleration formula is;
a = v²/r
Given, V- velocity = 280 m/s
And we know that for weightless object,
Gravity = centripetal acceleration
So, a = g
given, g =9.8 m/s²
So,9.8 = 280²/r
r= 8000 m
Radius of the loop = 8 km
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A 200 kg object is initially at rest on a horizontal frictionless surface. At time t = 0 , a horizontal force of 100 N applied to the object for and then removed. Which of the following is correct about object's motion at time t=2 s?
(A) It is at rest.
(B) It is moving with decreasing acceleration.
(C) it is moving with decreasing speed.
(D)it moving at a constant speed.
(E) It is moving with increasing speed
Answer:
b
Explanation:
A 38.1 kg object is being pushed across a flat level surface at a speed of 10.9 m/s. If the force pushing the object is removed so that the net force acting on the object is simply a 35.6 N frictional force, how far will the object slide (in m) before coming to a complete stop?
The object will slide a distance of 8.81 meters before coming to a complete stop.
To calculate the distance the object will slide, we can use the equation of motion for uniformly decelerated motion:
v² = u² + 2as
where v is the final velocity (0 m/s in this case), u is the initial velocity (10.9 m/s), a is the acceleration (caused by the frictional force), and s is the distance traveled.
Rearranging the equation, we have:
s = (v² - u²) / (2a)
Since the object comes to a complete stop, the final velocity v is 0 m/s. The initial velocity u is 10.9 m/s, and the acceleration a is given by Newton's second law:
F = ma
where F is the frictional force (35.6 N) and m is the mass of the object (38.1 kg). Solving for a, we find:
a = F / m
Substituting the values into the equation for distance, we get:
s = (0² - (10.9)²) / (2 * (35.6 / 38.1))
Calculating the expression, we find the distance traveled, d, is approximately 8.81 meters. Therefore, the object will slide a distance of 8.81 meters before coming to a complete stop.
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