How far from the earth must a body be along a line toward the sun so that the sun’s
gravitational pull balances the earth’s? The sun is 9.3 × 107 miles away and its mass is
3.24 × 105 Me.

Answers

Answer 1

Answer:

r = 1.63×10^5 mi

Explanation:

Let r = distance of object from earth

Rs = distance between earth and sun

Ms = mass of the sun

= 3.24×10^5 Me (Me = mass of earth)

At a distance R from earth, the force Fs exerted by the sun on the object is equal to the force Fe exerted by the earth on the object. Using Newton's universal law of gravitation,

Fs = Fe

GmMs/(Rs - r)^2 = GmMe/r^2

This simplifies to

Ms/(Rs - r)^2 = Me/r^2

(3.24×10^5 Me)/(Rs - r)^2 = Me/r^2

Taking the reciprocal and then its square root, this simplifies further to

Rs - r = (569.2)r ----> Rs = 570.2r

or

r = Rs/570.2 = (9.3×10^7 mi)/570.2

= 1.63×10^5 mi


Related Questions

What is kinetic energy

Answers

Answer:

Kinetic Energy

Explanation:

Kinetic energy is the energy of motion, observable as the movement of an object, particle, or set of particles

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Question 5 of 15:
Select the best answer for the question
5. Eighteen cubic feet of air having a pressure of 60 psia and a temperature of 190 F is to be compressed, together with 28 cu ft of air having a pressure of 40 psia and a temperature
of 60 F, in a vessel whose volume is 22 cu ft. What will be the temperature of the mixture, if its pressure is 100 psia?
7
O A. 370 F
O B. 577 F
O C. 117 F
O D. 90 F

Answers

90 F. The temperature of the mixture can be calculated using the Ideal Gas Law.

This states that the product of the pressure, volume, and absolute temperature of a gas is equal to the product of the number of moles of the gas and the universal gas constant.

Using this equation, we can solve for the temperature of the mixture, given the total pressure and the total volume of the mixture.

We can first calculate the total number of moles of the mixture, by assuming both gases are ideal:

18 cu ft of gas at 60 psia and 190 F = 1.64 moles

28 cu ft of gas at 40 psia and 60 F = 1.28 moles

Total moles of the mixture = 2.92 moles

Using the Ideal Gas Law, we can then calculate the temperature of the mixture:

(100 psia x 22 cu ft x T) = (2.92 moles x 0.082)

T = 90 F.

What is the Ideal Gas Law?

The Ideal Gas Law is an equation that describes the relationship between pressure, volume, temperature, and amount (in moles) of an ideal gas. It states that: PV = nRT, where P is the pressure, V is the volume, n is the amount of substance, R is the ideal gas constant, and T is the temperature.

Hence, Option D is correct.

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A man is attempting to train his dog. He is pulling on the dog with a force of 52.4 Newtons at an angle of 35.1 degrees above the horziontal. Fimd the X and Y component of the applied Force

Answers

The formula for the horizontal component (Fx), which is the angle the force makes with the horizontal, is Ftens•cosine(). Ftens• sine() can be used to compute the upward component (Fy), where is the angle that the force produces with the horizontal.

What is the force's horizontal component?

The portion of a force that works horizontally with regard to a body is known as its horizontal component. Its vertical component is known as its vertical component.

Why is moving the box with the rope horizontal easier?

The pulling of the box is with the rope horizontal. When the rope is angled Because Is less than, the horizontal component (= F cos ) is less. As a result, it is the proper response.

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H
Question 12 of 15:
Select the best answer for the question.
12. A 150-lb block of ice has a temperature of 22 F. How much heat will the ice absorb before it begins to melt?
O A. 1500.0 Btu
O B. 1663.2 Btu
C. 756.0 Btu
OD. 2419.2 Btu

Answers

Answer:

I think it is A

Explanation:

It is A because if you calculate the weight minus the F, then you have to divide that by the amount of absorbation (the lb) before timsing it by 1000.

Helen is para sailing. She sits in a seat harness which is attached by a tow rope toba speedboat. The rope makes an angle of 59.9* with the horziontal and has a tension of 364N. Determine the horziontal and vertical component of the tension force

Answers

To find the horizontal and vertical components of the tension force in para sailing, we can use the basic trigonometric ratios of sine, cosine and tangent.

How to use trigonometric ratios ?First, given the rope's angle (59.9 degrees) and the tension force (364 N), we can apply the following formula to determine the tension force's horizontal component (Fx): Fx = Tension force x cos(angle) = 364 N x cos (59.9).Next, we can use the angle of the rope and the tension force to find the vertical component (Fy) of the tension force using the formula: Fy = Tension force x sin(angle) = 364 N x sin(59.9)You must convert the angle to radians because these calculations, as you should be aware, employ radians rather than degrees.As a result, the tension force's horizontal component has the following formula: Fx = 364N x cos(59.9) = 225.98N roughly.Additionally, the vertical component of the tension force is roughly 318.6N, or Fy = 364N x sin(59.9)According to these calculations, the tension force has two components: a horizontal component that is 225.98 N and a vertical component that is 318 N.

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A certain string can withstand a maximum tension of 55N before breaking.What is the maximum speed at which we can safely swing a 1.0 kg mass on a piece of this string 0.50m long in a horizontal circle?​

Answers

Explanation:

Fmax = Fc = mv^2/r

[tex]m \frac{ {v}^{2} }{r} = f\frac{}{max} \\ {v}^{2} = \frac{(0.50 \: m)(55 \: n)}{1.0 \: kg} = 27.5 \: \frac{ {m}^{2} }{ {s}^{2} } \\ v = 5.2 \: \frac{m}{s} [/tex]

An appeal of a state appellate court ruling can next be made to:
• A. a state trial court.
• B. the state supreme court.
• C. the U.S. Supreme Court.
• D. a U.S. Court of Appeals.

Answers

The decision of the country's highest court may then be appealing to that Supreme Court of both the U. S., but only in cases where the issue involves federal law.

Why is Supreme renowned?

In particular, followers of hip-hop, surfing, and post - punk culture will find their clothing appealing. Every person who appreciates streetwear will discover the ideal item thanks to Supreme's wide range of clothing.

Why is Supreme so expensive?

Rebellious and distinctive brand image! Despite giving a venture - capital group a 50% ownership in the company, Supreme has been able to keep its skater roots and fan base. To top it all off, the Supremes' emblem is distinctive, outstanding, and simple to recognize.

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Which organelle produces energy for the cell? a. The nucleus b. The cytoplasm c. The mitochondria d. The cell membrane

Answers

Answer:

[tex]\boxed {\boxed {\sf C. \ The \ Mitochondria}}[/tex]

Explanation:

Let's examine each organelle and its function.

A. The Nucleus

This organelle is the control center. It regulates a cell's activities and processes. It also contains the DNA or genetic information.

B. The Cytoplasm

The cytoplasm is a jelly like liquid that fills the inside the cell. Organelles and molecules are suspended in it.

C. The Mitochondria

This is also called the powerhouse of the cell, because it produces energy! This is the site of cellular respiration, the process that turns oxygen and glucose into ATP (energy), water, and carbon dioxide.

D. The Cell Membrane

This covers and protects the entire cell. It keeps important substances in and allows them to enter the cell, while preventing harmful ones from entering.

Based on this information, we see that the mitochondria is the organelle producing energy for the cell and choice C is correct.

acceleration to move 650N with mass of 100 kg​

Answers

To calculate acceleration, you need to use the formula: acceleration = force / mass.

In this case, the force is 650 N and the mass is 100 kg, so the acceleration would be:

acceleration = 650 N / 100 kg
= 6.5 m/s^2

This means that if a force of 650 N is applied to an object with a mass of 100 kg, the acceleration of the object will be 6.5 m/s^2.

A plane electromagnetic wave propagates in a vacuum in the z-direction. The wave has a wavelength of 10 m and the electric field is along the x direction and has an amplitude of is 0.20 V/m, with one maximum at x = 0 and t = 0. What is the mathematical expression for the magnetic field?
A. By = 0.067 × 10-8sin[(0.63 m-1)z - (2.1 × 10-9 s-1)t] T.
B. By = 0.067 × 10-8cos[(0.63 m-1)z + (1.9 × 108 s-1)t] T.
C. By = 0.067 × 10-8cos[(10 m-1)z - (2.1 × 10-9 s-1)t] T.
D. By = 0.067 × 10-8cos[(0.63 m-1)z - (1.9 × 10-8 s-1)t] T.
E. By = 0.067 × 10-8sin[(0.63 m-1)z + (2.1 × 10-9 s-1)t] T.

Answers

Answer:

B. By = 0.067 × 10-8cos[(0.63 m-1)z + (1.9 × 108 s-1)t] T.

Explanation:

Since the electric field has a maximum at x = 0 and t = 0, it is a cosine function and thus the magnetic field is also a cosine function.

Also, the electric field travels in the x - direction and the wave in the z-direction. Since the magnetic field is perpendicular to both directions, it must thus move in the y - direction.

So, By = B₀cos(kz - ωt). It has a negative sign since the wave is travelling in the positive z - direction.

Since c = E₀/B₀ where E₀ = amplitude of electric field = 0.20 V/m, B₀ = amplitude of magnetic field and c = speed of light = 3 × 10⁸ m/s

So, B₀ = E₀/c = 0.20 V/m ÷ 3 × 10⁸ m/s = 0.067  × 10⁻⁸ T

wave number, k = 2π/λ where λ = wavelength = 10 m. So, k = 2π/10 m = 6.28/10 m = 0.628 m⁻¹ ≅ 0.63 m⁻¹

angular frequency, ω = 2πf where f = frequency of wave = c/λ = 3 × 10⁸ m/s 10 m = 3 × 10⁷ s⁻¹. So, ω = 2πf = 2π(3 × 10⁷ s⁻¹) = 18.8 × 10⁷ s⁻¹ = 1.88  × 10⁸ s⁻¹ ≅ 1.9  × 10⁸ s⁻¹

Substituting the variables into By, we have

By = B₀cos(kz - ωt)

By = (0.067  × 10⁻⁸ T)cos[(0.63 m⁻¹)z - (1.9  × 10⁸ s⁻¹)t]

By = 0.067  × 10⁻⁸cos[(0.63 m⁻¹)z - (1.9  × 10⁸ s⁻¹)t] T

Since none of our options contain the given answer, we assume the wave moves in the negative z - direction. So, for that,

By = 0.067  × 10⁻⁸cos[(0.63 m⁻¹)z + (1.9  × 10⁸ s⁻¹)t] T

Answer:

D.

[tex]\mathbf{B_y = 0.067 \times 10^{-8} Cos \Big[ 0.6 3m^{-1} z - (1.9 \times 10^{-6} \ s^{-1})t \Big] T}[/tex]

Explanation:

From the given information:

Let us recall that the direction with which electromagnetic wave proceeds is usually along [tex]E^{ \to} \times B^{\to}[/tex]

Thus; the magnetic field is always along the y-direction.

In the magnetic field, the maximum value of the field is expressed by using the formula:

[tex]\dfrac{E}{C} = \dfrac{0.20 \ V/m}{3\times 110^8 \ m/s} \\ \\ = 0.067 \times 10^{-8} \ T[/tex]

Given that:

the maximum x is starting at 0, then, it implies that it is starting from the extreme position proceeding along +z direction.

As such; the general equation: [tex]y = A sin (\omega t - kz)[/tex]

Also:

[tex]K = \dfrac{2 \pi}{\lambda}[/tex]

where;

[tex]\lambda =10[/tex]

[tex]K = \dfrac{2 \pi}{10}[/tex]

K ≅ 0.63 m⁻¹

Thus;

[tex]\mathbf{B_y = 0.067 \times 10^{-8} Cos \Big[ 0.6 3m^{-1} z - (1.9 \times 10^{-6} \ s^{-1})t \Big] T}[/tex]

What is resistance? How does the resistance of a long wire compare with the resistance of a short wire? How does the resistance of a thick wire that has a large cross-sectional area compare with the resistance of a thin wire?

Answers

Answer:

The opposition offered by the conductor to the current flowing through it is known as resistance.

we know,

Resistance is directly proportional to the length of the conductor.Hence,the resistance offered by the long wire will be more than that of the short wire.

Also, Resistance is inversely proportional to the area of cross section of conductor.So,The Resistance in the thick wire will be less than that of the thin wire.

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Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Hooke's law :
F=-K.X

Answers

The value of x is 0.04m and restoring force is 9 N

(a) From the figure, the spring force balances force due to gravity.

    So, [tex]\frac{1}{2} kX^{2} = mg[/tex]

    Where, k = spring constant = 50N/m

                 X = compressed distance = L+x = 0.1+x

                 m = mass = 50 g = 0.05Kg

                 g = acceleration due to gravity = 10

Putting these values in above equation, we get: x= 0.04m

(b) Using Hooke's law, F = kx

     Where, k = spring constant =50N/m

                  x = distance = 180mm = 0.18 m

    Putting these values in above equation, we get restoring force F = 9N

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A barefoot field-goal kicker imparts a speed of 22 m/s to a football initially at rest. If the football has a mass of 0.42 kg and the time of contact with the ball is 0.023 s, what is the magnitude of the force exerted by the ball on the kicker’s foot? Answer in units of N

Answers

Explanation:

Mass of the football = 0.49 kg

Initial velocity of the ball ,u= 0 m/s

Final velocity of the ball ,v= 44 m/s

time of contact ,t = 0.028 seconds

First law of motion:

v=u+at

44 m/s=0+a\times 0.028 sec44m/s=0+a×0.028sec

a=1,571.42 m/s^2a=1,571.42m/s

2

force=mass\times acceleration=0.49 kg\times 1,571.42 m/s^2=769.99Nforce=mass×acceleration=0.49kg×1,571.42m/s

2

=769.99N

The magnitude of the force exerted by the ball on the kicker's foot is of 769.99 Newtons.

The four conducting cylinders shown in the figure are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries, which supply the necessary voltages to give the circuits the same current, I.
Rank the four voltages. V₁, V₂, V₃, and V₄. in order of decreasing value. Rank from largest to smallest. To rank items as equivalent, overlap them.
This content in not available an your mobile device, but your work is still incomplete. Please use a different device to submit your solution for grading

Answers

The ranking of the voltages, V₁, V₂, V₃, and V₄ in the order of decreasing voltage value is; V₂ > V₃ > V₁ > V₄

What is the voltage of an electric circuit?

A voltage is the difference in potential or pressure that pushes or causes the flow of electric current in a circuit or conducting loop.

The current flowing through the circuit can be found using the following formula;

[tex]I=\dfrac{V}{R}[/tex]

The formula for conductivity is presented as follows;

[tex]\sigma =\dfrac{l}{R\times A}[/tex]

Where;

σ = The conductivity of the material

l = The length

R = The resistance to electricity

A = The cross-sectional area of the conductor

Therefore;

[tex]R=\dfrac{V}{I}[/tex]

[tex]R=\dfrac{l}{A\times \sigma}[/tex]

[tex]\dfrac{V}{I} =\dfrac{l}{A\times \sigma}[/tex]

[tex]V=\dfrac{l \times I}{A\times \sigma}[/tex]

Based on the dimensions of the cylinders, obtained from a similar question, we get;

[tex]V_1=\dfrac{3\cdot L \times I}{\pi \cdot D^2\times \sigma} = 3\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}[/tex]

[tex]V_2= \dfrac{2\cdot L \times I}{\pi \cdot \dfrac{D^2}{4} \times \sigma} = \dfrac{8\cdot L \times I}{\pi \cdot D^2\times \sigma} = 8\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}[/tex]

[tex]V_3=\dfrac{L \times I}{\pi \cdot \dfrac{D^2}{4} \times \sigma} =\dfrac{4\cdot L \times I}{\pi \cdot D^2\times \sigma}= 4\times \dfrac{L \times I}{\pi \cdot D^2\times \sigma}[/tex]

[tex]V_4=\dfrac{L \times I}{\pi \cdot D^2\times \sigma} = 1\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}[/tex]

Therefore;

V₁ = 3·V₄

V₂ = 8·V₄

V₃ = 4·V₄

The rank of the voltages in the order of decreasing value is therefore;

V₂ > V₃ > V₁ > V₄

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How a body is charged ?

Answers

Answer:

Explanation:

Following are the three important ways by which a body can get charged. ⇒ By conduction :When an uncharged body is made in contact with a charged body, the charge flow into the non charged body and the body gets charged. ⇒ By rubbing: When a body is rubbed with another body, both of them gets charged.

Compared to using analog signals, what is an advantage of transmitting
information using digital signals?
A. Digital signals become stronger as the distance from their source
increases.
B. Digital signals are more secure.
C. Digital signals have a continuous range of values.
D. Digital signals can use the cloud to store and access data.

Answers

Answer:

  B. Digital signals are more secure

Explanation:

You want to know an advantage of transmitting information using digital signals.

Digital signals

Digital signals are characterized by having a few discrete states. In the simplest case, those states are {transmitting, not transmitting}. Modern digital signals are often transmitted using numerous combinations of phases, frequencies, and amplitudes.

Analog signals

Analog signals are characterized by a continuum of the characteristic used to convey the information. When amplitude modulation is used, the information of interest is conveyed by the amplitude of the signal. Similarly, when frequency or phase modulation is used, the information is conveyed by the frequency or phase of the signal, respectively.

That is, analog signals have a continuous range of values.

Distance

Any signal that is broadcast will have a signal level that decreases with distance from the source of the broadcast. Any signal conveyed through a medium will be subjected to distortions and losses due to the interaction of the signal and the medium. Hence all signals become weaker as the distance from the source increases.

Noise

The receiver of a signal will, in general, receive signals other than the one intended. These are referred to as "noise." A transmission channel may have many sources of noise, including other transmitters, Cosmic Background Radiation, thermal noise in the components of the receiver or transmission medium, and others.

For analog signals, noise can directly affect the amplitude or phase being used to represent the signal of interest. Hence it changes the received value so it is not the same as the transmitted value.

The states of digital signals are designed to be sufficiently far apart that any corruption by noise will not affect the value as interpreted by the receiver. Thus, in terms of corruption of the information, we can say digital signals are more secure.

__

Additional comment

In radio transmission, noise is generally an addition to the signal. The weaker the analog signal, the greater the effect of noise. Broadcast radio began as AM radio: amplitude modulated. As the signal weakens, noise becomes a greater portion of the amplitude, so the receiver hears "static" where they want to hear voice or music.

FM, frequency modulated, radio replaced AM radio in order to avoid this issue with noise. The frequency of a signal is less likely to be corrupted. However, as the signal weakens, it can be difficult to determine its frequency, so that method of analog transmission also succumbs to noise.

Digital transmission in a noisy channel can also be corrupted by noise. Ultimately, the rate of information transmission in a given channel depends on the channel bandwidth and the signal-to-noise ratio. The integrity of a signal can be improved through coding that allows missing or corrupted bits of information to be determined based on the other bits that are received.

"Security" of a transmission can have different meanings. Here, we understand it to refer to the integrity of the information being conveyed. It could also relate to the difficulty of intercepting the transmission, or the difficulty of understanding the meaning of the received signal. Digital signals may or may not be more "secure" in these other meanings of the word.

Name and describe at least SIX engineering challenges that the Mars copter, Ingenuity, had to overcome in order to be built/to travel to Mars/to function on Mars. BE SPECIFIC with your answers!!

Answers

Answer:

Name and describe at least SIX engineering challenges that the Mars copter, Ingenuity, had to overcome in order to be built/to travel to Mars/to function on Mars. BE SPECIFIC with your answers!!

How much potential energy does a log have if it weighs 112.7 N and is 3.400 m above the ground

Answers

Answer:

total potential energy is 383.18.

Explanation:

It is because that when we hold something at the influence of gravity than work is done . Similarly we know that

Potential Energy is Equal to the product of m g and h.Here weight gives the product of mass and acceleration due to gravity.so

PE = mgh

= 112.7×3.4

=383.18 joule

Unit of energy is joule

What is meant by half life ?

Answers

Half-life is the amount of time it takes a substance to decay half of its original value.

Those in mission control roles spend about 75 percent of their time actively communicating and controlling active space missions.


True


False

Answers

It is False that personnel in mission control spend roughly 75% of their time actively engaging with and managing running space missions, according to the evidence at hand.

What is Mission control centre?

The NASA Johnson Space Center has a designated center called Mission Control Center.

Only 10% of the time that the MCC staff devotes to mission control is actually spent actually managing missions; the other 80% is spent planning and organizing, and the remaining 15% is spent on training and education.

A facility that oversees space flights is known as a mission control center (MCC; sometimes known as a flight control center or operations center), often from the point of launch until landing or the mission's conclusion. It is a component of spacecraft operations on the ground.

Therefore, It is False that personnel in mission control spend roughly 75% of their time actively engaging with and managing running space missions, according to the evidence at hand.

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1. Which statement about data attenuation is true? (1 point)
Data carried on a fiber-optic cable experience more attenuation than data broadcast from a radio tower.
Fiber-optic cables experience very little attenuation over large distances.
Data carried on a fiber-optic cable experience more attenuation than data carried on a copper wire.
Data carried on a copper wire and data broadcast from a radio tower experience very little attenuation over large distances.

2. Which statement is an example of information being carried by an electromagnetic wave that has been interpreted by humans?(1 point)
A sound wave in an ultrasound machine transmits information about the parts of the body it travels through.
A seismic wave changes speed, conveying information about the materials it has passed through.
A wave in the ocean changes, indicating a change in the depth of the water.
A light wave from a distant galaxy experiences redshift, indicating that the galaxy is moving away from Earth.

3. Which statement is true about a parabolic dish? (1 point)
It reflects waves and focuses them to a point.
It refracts waves in the dish.
It absorbs the wave energy.
It filters the type of electromagnetic radiation.

4. Which natural phenomenon describes guitar strings vibrating at certain natural frequencies?(1 point)
interference
beats
oscillation
resonance

5. What will increase the power output when doing work?(1 point)
doing less work in the same amount of time
doing the same work in less time
doing the same work in more time
doing less work and increasing the amount of time

Answers

Answer:

1. c

2. d

3. a

4. d

5. c

Explanation:

im pretty sure im right

How many times does the kinetic energy of a car increase when traveling 60 mph as opposed to traveling 15 mph?

K.E. increases

5
4
16
20

Answers

Answer:

20

Explanation:

i'm not so sure with my answer

By changing the frequency of an EM wave, the _____ of the wave is changing.

a) speed

b) phase

c) amplitude

d) energy

e) both b and d

Answers

The answer is :: E



Hope this helps

By changing the frequency of an EM wave, both the energy and phase of the wave is changing. The correct option is e.

What is the frequency?

Frequency is the number of times a wave passes through a particular point in one second.

The time interval to 1° of phase change is inversely proportional to the frequency.

There is a change in phase with changing frequency.

Therefore, by changing the frequency of an EM wave, the energy and phase of the wave is changing.

The correct option is e.

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For science class your teacher gives you and your partner a ball she ask you to figure out a way to Balance forces that you apply to the ball how do you partner show this?

Answers

Two forces are said to be balanced when their strengths are equal but their directions of action are opposing.

What is Balanced Force?

The forces are balanced if the pullers are exerting equal force but going in the opposite direction on either side of the rope.

Forces that are balanced can cancel one another out. The thing stays in place whenever there is a balanced force.

To lift, turn, move, open, close, push, pull, and many other things requires forces. You apply force to a ball when you throw it in order for it to travel through the air. An object can be under the influence of multiple forces at once.

Therefore, Two forces are said to be balanced when their strengths are equal but their directions of action are opposing.

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An electron is placed on a line connecting two fixed point charges of equal charge but the opposite sign. The distance between the charges is 30.0 cm and the charge of each is 4.50 pC. (a) Compute the force on the electron at 5.0 cm intervals starting from 5.0 cm from the leftmost charge and ending 5.0 cm from the rightmost charge. (b) Plot the net force versus electron location using your computed values. From the plot, can you make an educated guess as to where the electron feels the least force

Answers

Answer:

a)    F_net = 6.48 10⁻¹⁸ ( [tex]\frac{1}{x^2} + \frac{1}{(0.300-x)^2}[/tex] ),   b) x = 0.15 m

Explanation:

a) In this problem we use that the electric force is a vector, that charges of different signs attract and charges of the same sign repel.

The electric force is given by Coulomb's law

         F =[tex]k \frac{q_2q_2}{r^2}[/tex]

         

Since when we have the two negative charges they repel each other and when we fear one negative and the other positive attract each other, the forces point towards the same side, which is why they must be added.

          F_net= ∑ F = F₁ + F₂

let's locate a reference system in the load that is on the left side, the distances are

left side - electron       r₁ = x

right side -electron     r₂ = d-x

let's call the charge of the electron (q) and the fixed charge that has equal magnitude Q

we substitute

          F_net = k q Q  ( [tex]\frac{1}{r_1^2}+ \frac{1}{r_2^2}[/tex])

          F _net = kqQ  ( [tex]\frac{1}{x^2} + \frac{1}{(d-x)^2}[/tex] )

         

let's substitute the values

          F_net = 9 10⁹  1.6 10⁻¹⁹ 4.50 10⁻⁹ ( [tex]\frac{1}{x^2} + \frac{1}{(0.30-x)^2}[/tex] )

          F_net = 6.48 10⁻¹⁸ ( [tex]\frac{1}{x^2} + \frac{1}{(0.300-x)^2}[/tex] )

now we can substitute the value of x from 0.05 m to 0.25 m, the easiest way to do this is in a spreadsheet, in the table the values ​​of the distance (x) and the net force are given

x (m)        F (N)

0.05        27.0 10-16

0.10          8.10 10-16

0.15          5.76 10-16

0.20         8.10 10-16

0.25        27.0 10-16

b) in the adjoint we can see a graph of the force against the distance, it can be seen that it has the shape of a parabola with a minimum close to x = 0.15 m

A 500-mm-long, 16-mm-diameter rod made of a homogenous,
isotropic material is observed to increase in length by 300 mm, and
to decrease in diameter by 2.4 mm when subjected to an axial 12-
kN load. Determine the modulus of elasticity and Poisson's ratio of
the material. [20 marks]

Answers

The material has a Poisson's ratio and a modulus of elasticity of 0.25. Y=2G(1+) is the correct relationship between the Young's modulus (Y), the shear modulus (G), and the Poisson's ratio ().

What are elastic modulus and Poisson's ratio?

The bulk modulus, also known as the elastic modulus K, is related to the Poisson's ratio; G as the modulus of shear; and E, Young's modulus, by the following (for isotropic solids whose properties are non-directional). The stiffness is measured by the elastic moduli. They are stress-to-strain ratios.

Determine the rod's stress level.

Determine the longitudinal strain by multiplying F A 12 by (0.016) = 59.683 MPa.

Determine the lateral strain by elongating Or 30010-3 = L mm 500 mm = = 0.0006.

-2.410-3 mm 16 mm Elateral = = -0.00015 d Determine the material's young's modulus.

& Long 59.683 MPa 0.0006 E = 99.471 GPa  100 GPa

Determine the material's poisson's ratio. & the lateral lengthens by -0.00015 0.0006 = 0.25.

To learn more about Poisson's ratio here:

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whats it like to be famous?

Answers

Good And Bad

Explanation:

People often want to be famous to be recognized in public or even to meet other famous people.

however what people dont realise is that you life is now entirely public, your love life, relationships, the food you eat, the people you talk to,the way you act ,ect Everything is publicly judged.

yes it may be good to be famous for some reasons however, 9 times out of 10 it may be the worst part of your life.

an object is 50 cm to the left and an image is 50 cm to the right of a convex lens. What is the focal length?

Answers

Answer:

An Object son

Explanation:

How are the states of water and the water cycle related?

Answers

Answer: Various forms or states of water are the parts of water cycle

Explanation:

The water cycle initiates with the evaporation of liquid water that can on the surface of earth or a part of water body (hydrosphere). The evaporated water becomes the part of water vapors. The water vapor is the gaseous form of water. The water vapors accumulate in the higher atmosphere. They condense and precipitate in the form of rain or liquid water or solid water in the form of snow that is the solid form of water.

if im pushing on a wall what are the action and reaction force?

Answers

when you push on a wall, the wall pushes back on you with a force equal in strength to the force you exerted.
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