The tangential component of the net force exerted on the car is ≈3.0 × 10³ N & the centripetal component of the net force exerted on the car is ≈4.3 × 10² N
The centripetal acceleration's magnitude is expressed as:
a = v²/r
The tangential acceleration's magnitude is stated as:
a= ∆v/∆t
The following is the net force's tangential component:
F =ma
Replace each value in the equation above.
F = (950 kg) (3.2 m/s²) (1N/(1kg ×m∕s² ))
= 3040N
≈3.0 × 10³ N
Consequently, the net force applied to the automobile has a tangential component that is ≈3.0 × 10³ N
The following is the centripetal component of the net force:
F = mv²/r
Replace each value in the equation above.
FR =((950 kg) (15 m∕s²) )/(500 m) (1N/(1kg ×m∕s² ))
= 427.5 N
≈4.3 × 10² N
Consequently, the net force applied to the automobile has a centripetal component that is ≈4.3 × 10² N
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Hint: sin2θ + cos2θ = 1 .
Consider the 692 N weight held by two
cables shown below. The left-hand cable had
tension 570 N and makes an angle of θ2 with
the ceiling. The right-hand cable had tension
530 N and makes an angle of θ1 with the
ceiling. a) What is the angle θ1 which the righthand cable makes with respect to the ceiling?
Answer in units of ◦.
b) What is the angle θ2 which the left-hand
cable makes with respect to the ceiling?
Answer in units of ◦.
a) The angle θ1 which the righthand cable makes with respect to the ceiling is sin^(-1)(692 N / 530 N).
b) The angle θ2 which the left-hand cable makes with respect to the ceiling is sin^(-1)(692 N / 570 N).
We may utilise the tension of the right-hand cable as well as its vertical and horizontal components to determine the angle 1. θ2 = sin^(-1)(692 N / 570 N).
We may apply the ideas of trigonometry and vector addition to address this issue.
a) The tension of the right-hand wire as well as its vertical and horizontal components can be used to determine the angle 1.
T1sin(1) calculates the vertical component of the right-hand cable's tension, which is equal to the object's weight (692 N).
T1sin(θ1) = 692 N
We may rearrange the equation to find 1:
θ1 = sin^(-1)(692 N / T1)
We can find 1 by substituting the given tension value, T1 = 530 N:
θ1 = sin^(-1)(692 N / 530 N)
b) Similarly, we can use the formula to determine the angle 2 the left-hand cable's tension and its vertical and horizontal components.
The vertical component of the left-hand cable's tension is given by T2sin(θ2), and it should also be equal to the weight of the object (692 N).
T2sin(θ2) = 692 N
To find θ2, we can rearrange the equation:
θ2 = sin^(-1)(692 N / T2)
Substituting the given tension value T2 = 570 N, we can solve for θ2:
θ2 = sin^(-1)(692 N / 570 N)
Calculating these angles using the given tension values will provide the answers in degrees.
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What is a distinguishing feature in a city known as?
OA) hot spot
OB) landmark
C) state legend
OD) state park
A defining characteristic of a city is often referred to as a "landmark." A landmark is a distinctive feature or building that stands out and is used to identify or represent a location. Landmarks can be man-made, such as structures, monuments, or historical locations, or they can be natural, like mountains, rivers, or lakes.
Landmarks are significant tourist destinations for both locals and visitors because they frequently have historical, cultural, or architectural value. They can serve as a symbol of a city's identity, history, and personality and end up being recognised as the place's iconic symbols. Landmarks might be notable buildings, statues, cathedrals, museums, or bridges that have come to symbolise the city in which they are located.
Therefore, option (OB) "landmark" is the term used to describe a distinguishing feature in a city.
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A botanist is measuring plants to determine amount of growth after fertilizer was used. A ruler was used for the measurements. Which type of measurement is being collected?
Question 6 options:
a)
Linear
b)
Volume
c)
Mass
d)
Weight
Answer:
Hi there!
Your answer is:
A. Linear
Explanation:
Linear measurement is when you measure things in a straight line using tools such as a ruler, yardstick or tape measure. To measure height, they are using a ruler, which is a form of linear measurement!
I hope this helps!
Complete the following sentences:
Wave speed is NOT dependent on _________ or ____________. Instead, wave speed only changes when the ______________ changes. This means that if a sound wave is traveling in pure water and the frequency doubles, the wavelength must _________.
A cannonball (20kg) is fired at an angle --its initial speed upon leaving is 100m/s and the ball reaches a height of 180 meters. Assume no friction and g=10m/s2. What is the initial kinetic energy when the ball leaves the cannon?
Explanation:
Kinetic energy = 1/2 m v^2
= 1/2 ( 20 kg) * (100 m/s)^2 = 100 000 J
If the total _______ on an object is not zero, its motion will change. A Speed B Gravity C Force D None of the above
Answer:
The correct answer is C) Force. If the total force on an object is not zero, its motion will change according to the second law of motion by Isaac Newton.
What is the force on a 1,000 kg elevator that is falling freely at
25 m/s?
Explanation:
Force=mass*acceleration
Mass=1000kg
Acceleration=25m/s
F=1000*25
F=25000N
Describe the relationship between frequency and wavelength of the visible light spectrum?
Which is equivalent to three (3) elementary charges?(a) 1.6 x 10-19 C (b) 2.0 x 10-19 C (c) 4.8 x 10-19 C (d) 5.4 x 10-19 C
The value of the elementary charge is
\(e=1.6\times10^{-19}\text{ C}\)We have to find a charge equivalent to 3e.
The charge equivalent to 3e will be
\(\begin{gathered} 3e\text{ = 3}\times1.6\times10^{-19}\text{ C} \\ =4.8\times10^{-19}\text{ C} \end{gathered}\)Thus, the correct option is c.
which action would a chemist most likely take to determine how substances in a fuel affect the types
1 point
After being cut off, Billy accelerates at a rate of 12.3m/s2 for 455 m. As he
approaches the biker who cut him off, his velocity is a ludicrous 125 m/s.
What was his initial velocity?
33.3 m/s
66.6 m/s
99.9 m/s
122.2 m/s
Answer:
The initial velocity of Billy is 66.6 m/s.
Explanation:
Given;
acceleration of Billy, a = 12.3 m/s²
distance moved by Billy, d = 455 m
final velocity of Billy, v = 125 m/s
let the initial velocity of Billy = u
Apply the following equation of motion;
v² = u² + 2ad
125² = u² + 2(12.3 x 455)
15625 = u² + 11193
u² = 15625 - 11193
u² = 4432
u = √4432
u = 66.57 m/s
u = 66.6 m/s.
Therefore, the initial velocity of Billy is 66.6 m/s.
A vertical spring stretches 3.4 cm when a 12-g object is hung from it. The object is replaced with a block of mass 26 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.
Answer:
Period of motion is approximately 0.5447 seconds
Explanation:
We start by calculating the constant "k" of the spring which can be derived from the fact that an object of mass 12 g produced a stretch of 3.4 cm: (we write everything in SI units)
F = k * x
0.012 kg * 9.8 m/s^2 = k 0.034 m
k = 0.012 kg * 9.8 m/s^2 / (0.034 m)
k = 3.46 N/m
now we use the formula for the period (T) of a spring of constant k with a hanging mass 'm':
\(T=2\pi\,\sqrt{\frac{m}{k} }\)
which in our case becomes:
\(T=2\pi\,\sqrt{\frac{0.026}{3.46} } \approx 0.5447\,\,sec\)
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph.Can you draw the shapes for each type ?
Explanation:
Yes, there are differences in the shapes of position-time graphs for uniform acceleration and uniform deceleration in different directions. Let's consider each case separately:\(\hrulefill\)
(1) - Uniform acceleration towards the positive direction:
In this case, the object is moving in the positive direction with a constant acceleration. The displacement-time graph will typically be a curve that starts from an initial position and shows a steady increase in displacement over time. The shape of the graph will depend on the specific acceleration value.
(2) - Uniform acceleration towards the negative direction:
In this case, the object is moving in the negative direction with a constant acceleration. The displacement-time graph will also be a curve, but it will show a steady decrease in displacement over time.
(3) - Uniform deceleration towards the positive direction:
In this case, the object is initially moving in the positive direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a positive slope and gradually levels off.
(4) - Uniform deceleration towards the negative direction:
In this case, the object is initially moving in the negative direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a negative slope and gradually levels off.
statics and strength of materials
The magnitude of the force P provided that the stress in the part AB is two times that of BC part is 0.8 kN.
What is the force P?The magnitude of the force P provided that the stress in the part AB is two times that of BC part is calculated as follows;
Take moment about the joint to determine the magnitude of the force along part BC.
120 kN x 750 mm = F x 1000 mm
F = ( 120 kN x 750 mm ) / ( 1000 mm )
F = 90 kN
Stress is given as force divided by area. The following equation can be used to determine the magnitude of force P.
Stress in AB = 2 times stress in BC
P/A₁ = 2F/A₂
where;
A₁ is the area of segment ABA₂ is the area of segment BCA₁ = πd²/4 = π(50 x 10⁻³)²/4
A₁ = 1.96 x 10⁻⁵ m²
A₂ = πd²/4 = π(75 x 10⁻³)²/4
A₂ = 4.42 x 10⁻³ m²
P/A₁ = 2F/A₂
P = (2F x A₁) / (A₂)
P = (2 x 90 kN x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )
P = (2 x 90,000 N x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )
P = 798.2 N
P = 0.798 kN
P ≈ 0.8 kN
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This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?
Based on the information, we can infer that A. represents a Mitochondria.
What is a mitochondria?Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.
Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.
Note: This question is incomplete. Here is the complete information:
Attached image
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_____ force and _____ force are really 2 parts of the same force.
Answer:
___action__ force and __reaction___ force are really 2 parts of the same force.
Explanation:
The volume of an ideal gas is increased from 0.6 m3 to 2.4 m3 while maintaining a constant pressure of 1000 Pa (1000 N/m2). Determine, in J, the amount of work done by the gas in this expansion.
The amount of work done by the gas in the given expansion is 1800 J.
The given parameters;
initial volume of the ideal gas, V₁ = 0.6 m³final volume of the ideal gas, V₂ = 2.4 m³constant pressure of the gas, P = 1000 PaThe amount of work done by the gas in the given expansion is calculated as follows;
W = PΔV
where;
ΔV is the change in volume of the gasSubstitute the given parameters and solve for the work done;
W = 1000(2.4 - 0.6
W = 1800 J
Thus, the amount of work done by the gas in the given expansion is 1800 J.
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Cody hits up food king and uses a scale to weigh the mass of an apple. if the spring potential energy in the scale is .09 j and is spring is stretched 0.6 meters, calculate the spring constant
Answer:
oK so here's what you should do is add .09 and 0.6
Explanation:
Astronomers observe the motion of four planets that orbit a star similar to the Sun. Each planet follows an elliptical orbit around its star. The astronomers measure each planet's orbital period, as shown in the table.
Planet; Orbital Period (Earth days)
Planet W; 10
Planet X; 640
Planet Y; 80
Planet Z; 270
To determine the distance each planet is from the star, astronomers applied one of Kepler's three laws.
Kepler's first law: The path of each planet around a star is an ellipse, with the star at one focus. Kepler's second law: A planet sweeps out equal areas in equal amounts of time as it revolves around the star.
Kepler's third law: The square of the time for one revolution of a planet is proportional to the cube of the radius of its orbit.
Based on the table, identify the planet that is the farthest distance from the star, and indicate which of Kepler's three laws can be used to justify your answer. Enter your answer in the box provided.
Answer:
planet that is farthest away is planet X
kepler's third law
Explanation:
For this exercise we can use Kepler's third law which is an application of Newton's second law to the case of the orbits of the planets
T² = (\(\frac{4\pi ^2}{ G M_s}\) a³ = K_s a³
Let's apply this equation to our case
a = \(\sqrt[3]{ \frac{T^2}{K_s} }\)
for this particular exercise it is not necessary to reduce the period to seconds
Plant W
10² = K_s \(a_{w}^3\)
a_w = \(\sqrt[3]{ \frac{100}{ K_s} }\)
a_w = \(\frac{1}{ \sqrt[3]{K_s} }\) 4.64
Planet X
a_x = \(\sqrt[3]{ \frac{640^3}{K_s} }\)
a_x = \frac{1}{ \sqrt[3]{K_s} } 74.3
Planet Y
a_y = \(\sqrt[3]{ \frac{80^2}{K_s} }\)
a_y = \frac{1}{ \sqrt[3]{K_s} } 18.6
Planet z
a_z = \(\sqrt[3]{ \frac{270^2}{K_s} }\)
a_z = \frac{1}{ \sqrt[3]{K_s} } 41.8
From the previous results we see that planet that is farthest away is planet X
where we have used kepler's third law
The velocity time graph of an object mass 50 g is shown in figure study graph and answer
1)calculate force acting on object in time interval 0-3 seconds
2)calculate the force acting on the object in the time interval 6-10 seconds
3)Is there any time interval in which no force acts on object.Justify
1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.
2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.
3) There is no time interval in which no force acts on the object.
(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.
In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.
Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2
Acceleration, a = slope= 20/3 m/s^2
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.
Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.
(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.
The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:
Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.
Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.
(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.
Therefore, there is no time interval in which no force acts on the object.
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URGENT 50 POINTS
Show all Steps of your work.
7. Mohammed whose mass is 50kg swings back and forth on a long vine makes an angle 45 from the vertical resting position. His friend Abdella notices in amazement that he makes 30 complete swings in 2.0 minuies.
(a) What is the frequency (in hertz) of Tarzan's swing?
(b) What is the period of oscillation?
(c) How long is the vine he is using?
(d) Calculate the Restoring force on Mohammed?
The frequency of oscillation of the swing is 0.25 Hz.
The time period of oscillation of the swing is 4 s.
The length of the vine of the swing is 3.97 m.
The restoring force acting on Mohammed is 692.9 N.
Mass of Mohammed, m = 50 kg
Angle made by the vine with the vertical, θ = 45°
Number of complete swings made by Mohammed, n = 30
Time taken for this swing, t = 2 minutes = 120 seconds
a) The frequency of the swing is defined as the number of complete oscillations in one second.
So, the frequency of oscillation of the swing is,
f = n/t
f = 30/120
f = 0.25 Hz
b) The time period of oscillation of the swing is,
T = 1/f
T = 1/0.25
T = 4 s
c) The expression for the time period is given by,
T = 2π√(l/g)
T² = 4π² x (l/g)
l/g = T²/4π²
Therefore, the length of the vine of the swing is,
l = T²g/4π²
l = 4² x 9.8/4 x (3.14)²
l = 3.97 m
d) The restoring force acting on Mohammed,
F = mg sinθ
F = 50 x 9.8 x sin 45°
F = 490 x 1/√2 = 490/1.414
F = 692.9 N
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Charges may be transferred by:
A) induction
B) insulation
C) reduction
D) conduction
Answer:
D) conduction
Explanation:
In a double-slit arrangement the slits are separated by a distance equal to 150 times the wavelength of the light passing through the slits. (a) What is the angular separation between the central maximum and an adjacent maximum
Complete Question
In a double-slit arrangement the slits are separated by a distance equal to 150 times the wavelength of the light passing through the slits. (a) What is the angular separation between the central maximum and an adjacent maximum? (b) What is the distance between these maxima on a screen 57.9 cm from the slits?
Answer:
a
\(\theta = 0.3819^o\)
b
\(y = 0.00386 \ m\)
Explanation:
From the question we are told that
The slit separation is \(d = 150 \lambda\)
The distance from the screen is \(D = 57.9 \ cm = 0.579 \ m\)
Generally the condition for constructive interference is mathematically represented as
\(dsin (\theta ) = n * \lambda\)
=> \(\theta = sin ^{-1} [\frac{n * \lambda }{ d } ]\)
where n is the order of the maxima and value is 1 because we are considering the central maximum and an adjacent maximum
and \(\lambda\) is the wavelength of the light
So
\(\theta = sin ^{-1} [\frac{ 1 * \lambda }{ 150 \lambda } ]\)
\(\theta = 0.3819^o\)
Generally the distance between the maxima is mathematically represented as
\(y = D tan (\theta )\)
=> \(y = 0.579 tan (0.3819 )\)
=> \(y = 0.00386 \ m\)
Explain how you can use aspects of Newton's second law to improve your car.
Answer:
here ya go
Explanation:
When a force is applied to a car, the change in motion is proportional to the force divided by the mass of the car.
In a shipping company distribution center, an open cart of mass 50.0 kg is rolling to the left at a speed of 5.00 m/s. You can ignore friction between the cart and the floor. A 15.0 kg package slides down a chute that is inclined at 37º from the horizontal and leaves at the end of the chute with a speed of 3.00 m/s. The package lands in the cart and they roll off together. If the lower end of the chute is a vertical distance of 4.00 m above the bottom of the cart, what are (a) the speed of the package just before it lands in the cart (b) the final velocity of the cart?
An open cart with a mass of 50.0 kg is moving to the left at the a speed of 5.00 m/s at a freight company distribution centre. Don't think about the cart's contact with the floor
Fast speed test: What is it?
Your current Web speed can be estimated with the FAST.com speed test. For users who are accessing content online, download speed is extremely important, and we want Suitable for the target market to be an incredibly easy and quick speed test. Your download speed and link latency can be seen when you select.
What is an object's speed?
The speed that an object travels a distance can be conceived of as its speed. A slow-moving object travels a relatively short distance in a given length of time, whereas a fast-moving object travels a big distance in a short amount of time.
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Calculate the force of gravity on the 1-kg mass if it were 3.2x10^6 m above Earth's surface that is, if it were one and a half
Earth radii from Earth's center).
Answer:
F= 4.3N
the question (for seo and search engine optimization to get this question to the top)
Calculate the force of gravity on the 1-kg mass if it were 3.2×106m above Earth's surface (that is, if it were one and a half Earth radii from Earth's center).
F= 4.3N
Answer:
Recuerda que la Ley de gravitación universal de Newton puede enunciarse así: “Toda partícula de
materia en el universo atrae a todas las demás partículas con una fuerza que es directamente
proporcional a las masas de las partículas e inversamente proporcional al cuadrado de la distancia que
las separa”. Ley que se puede expresar simbólicamente de la siguiente forma:
2
1 2
d
m m F ⋅ ∝
Podemos expresar la proporcionalidad de la ley de gravitación universal en forma de una ecuación
exacta introduciendo la constante de proporcionalidad G, llamada constante de gravitación universal:
2
1 2
d
m m F G ⋅ = ⋅ donde
2
A stationary sub uses sonar to send a 1.18x10^3 hertz sound wave through ocean water. The reflected sound wave from the flat ocean bottom is 324 meters below the sub is detected 0.425 seconds after it was sent from the submarine. Calculate the speed, v, wavelength and period of the sound wave
Answer:
a) v = 1524.7 m/s
b) T = 8.47*10^-4 s
λ = 1.29 m
Explanation:
a) First, in order to calculate the speed of the sound wave, you take into account that the velocity is constant, then, you use the following formula:
\(v=\frac{d}{t}\)
d: distance traveled by the sound wave, which is twice the distance to the ocean bottom = 2*324 m = 648 m
t: time that sound wave takes to return to the sub = 0.425
\(v=\frac{648m}{0.425s}=1524.7\frac{m}{s}\)
hence, the speed of the sound wave is 1524.7 m/s
b) Next, with the value of the velocity of the wave you can calculate the wavelength of the wave, by using the following formula:
\(v=\lambda f\\\\\lambda=\frac{v}{f}\)
f: frequency = 1.18*10^3 Hz
\(\lambda=\frac{1524.7m/s}{1.18*10^3s^{-1}}=1.29m\)
And the period is:
\(T=\frac{1}{f}=\frac{1}{1.18*10^3s^{-1}}=8.47*10^{-4}s\)
hence, the wavelength and period of the sound wave is, respectively, 1.29m and 8.47*10^-4 s
II. Understanding Concepts
Skill: Hypothesizing
1. The dots in the balloon represent particles of air. Use what you know about
pressure, temperature, volume, and the kinetic theory of matter to write a
hypothesis explaining what will happen to the volume of the balloon if
pressure is kept constant and the temperature is lowered.
Answer in complete sentences
As the temperature of the balloon is lowered, its volume will decrease as well.
What is kinetic theory of matter?
The kinetic theory of matter says that all matter consists of many, very small particles which are constantly moving or in a continual state of motion.
According to Charles law, the volume of a fixed mass of a gas is directly proportional to its absolute temperature.
Based on Charles law, as the temperature of the balloon is lowered, its volume will decrease as well because the average kinetic energy of the gas molecules has reduced, the rate of gas collision decreased, which will cause a drop in the volume of the balloon.
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Which of the following options correctly reflects the relationship between dispersion forces and particle size? Select all that apply.
a)larger particle are more polarizable and experience stronger dispersion forces
b) dispersion forces tend to decrease with size as larger particles are farther apart and therefore attract each other less
c) dispersion forces are strongest for small particles since they can get closer together in space
d) for molecules of similar shape, dispersion forces tend to increase with increasing molar mass
A) larger particles are more polarizable and experience stronger dispersion forces and c) dispersion forces are strongest for small particles since they can get closer together in space
What is polarizable?Polarizability is the ability of a molecule or atom to become polarized when subjected to an external electric field. It is the measure of the ease with which the electrons in a molecule or atom can be redistributed in response to an external electric field. Polarizability is a characteristic of all molecules, atoms, and ions, and governs their behavior in electric and magnetic fields. Polarizable molecules tend to be more reactive and more capable of forming strong bonds with other molecules or atoms. Polarizability is an important factor in determining a molecule's behavior in a variety of biological, chemical, and physical processes.
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The moon does not stay at the same distance from the earth.why?
Answer:
The moon does not stay at the same distance of the earth because the ortbit of the moon is slightly elliptical. If earth is not tilted at an angle of 66.5°, there will be no change in the season and the earth will have equal length of days and night.
Explanation:
mark me brainlest