A person weighing 0.70 kn rides in an elevator that has an upward acceleration of 1.5 m/s2. what is the magnitude of the normal force of the elevator's floor on the person?

Answers

Answer 1
First of all, we can find the mass of the person, since we know his weight W:
[tex]W=mg=0.70 kN=700 N[/tex]
And so
[tex]m= \frac{W}{g}= \frac{700 N}{9.81 m/s^2}=71.4 kg [/tex]

We know for Newton's second law that the resultant of the forces acting on the person must be equal to the product between the mass and the acceleration a of the person itself:
[tex]\sum F = ma[/tex]
There are only two forces acting on the person: his weight W (downward) and the vincular reaction Rv of the floor against the body (upward). So we can rewrite the previous equation as
[tex]R_v -W = ma[/tex]
We know the acceleration of the system, [tex]a=1.5 m/s^2[/tex] (upward, so with same sign of Rv), so we can solve to find the value of Rv, the normal force exerted by the elevator's floor on the person:
[tex]R_v = ma+W=(71.4 kg)(1.5 m/s^2)+700 N =807N[/tex]
Answer 2
Final answer:

The magnitude of the normal force of the elevator's floor on the person, given the person weighing 0.70 KN and the elevator accelerating upward at 1.5 m/s², is approximately 800 N.

Explanation:

This problem falls under the domain of Physics, specifically involving Newton's laws and the concept of the normal force within the context of elevator motion. To address the scenario of a person weighing 0.70 KN riding in an elevator that is accelerating upward at 1.5 m/s2, we need to understand the person's experienced force, otherwise known as normal force.

The normal force can be calculated using Newton's Second Law, F=ma, and knowing that the normal force equals the weight plus the product of the mass and acceleration when the elevator is moving upwards. In this case, the person's weight on Earth is equal to the force of gravity on them; with gravity being roughly 9.8 m/s2, the person's mass (m) would be their weight (w) divided by gravity (g), giving m = 0.70 KN / 9.8 m/s2 ≈ 71.4 kg.

The normal force (Fn) on upwards acceleration is given by Fn = m*(g+a), where a is the acceleration of the elevator. Substituting the given figures for m, g, and a we find Fn = 71.4 kg * (9.8 m/s2 + 1.5 m/s2) =~ 800 N (rounded to the nearest integer). Therefore, the magnitude of the normal force of the elevator's floor on the person is about 800 N.

Learn more about Normal Force here:

https://brainly.com/question/30436126

#SPJ11


Related Questions

A climate which changes with altitude is called a(n) climate.

Answers

It is called an vertical climate.
I Hope This Helps!!!

a bicyclist in the Tour De France crests a mountain pass as he moves at 15km/h. At the bottom 4km/h farther, his speed is 75km/h. What is his average acceleration(m/s^2) while riding down the mountain?,

Answers

For an uniformly accelerated motion, the following relationship can be used:
[tex]2aS = v_f^2 -v_i^2[/tex]
where a is the acceleration, S the distance covered, vf the final speed and vi the initial speed.

Before using the formula, we need to convert everything into SI units.
The distance covered is:
[tex]S=4 km=4000 m[/tex]
To convert the speed from km/h to m/s, let's keep in mind that
[tex]1 km=1000 m[/tex]
[tex]1h=3600 s[/tex]
so
[tex]1 \frac{km}{h}= \frac{1000 m}{3600 s}= \frac{1}{3.6} [/tex]
is the conversion factor.
So the speeds are:
[tex]v_i = 15 km/h \cdot \frac{1}{3.6}=4.17 m/s [/tex]
[tex]v_f = 75 km/h \cdot \frac{1}{3.6}=20.83 m/s [/tex]

and so, now we can re-arrange the formula to find a, the average acceleration:
[tex]a= \frac{v_f^2-v_i^2}{2S} = \frac{(20.83m/s)^2-(4.17m/s)^2}{2\cdot 4000 m}=0.05 m/s^2 [/tex]

What are some possible sources of error when using the modified mercalli scale to locate the epicenter of an earthquake?

Answers

Effect differs from one location to another and hence different magnitude may be arrived at, yet the same Earth quake regardless of the epicenter. This effect could be  affected by people related factors as well as buildings resilience.

The Modified Mercalli scale is used measures the amount of damage done during an earthquake. This helps to locate the epicenter of the earthquake.  It depicts the intensity of the earthquake based on the damage occurred due to the earthquake. The responses from many people who experienced the earthquake are collected by the scientists, assigned a value and plotted on a map

The plotted number can change with the reference place within the region of disturbance. It depends on the location of the observer with reference to the epicenter of the earthquake. The reporting depends on the witness. Some can exaggerate the extent of damage caused. All  the above mentioned are possible sources of error  when using the Modified Mercalli scale to locate the earthquake's epicenter.

An automobile engine delivers 47.4 hp. how much time will it take for the engine to do 6.82 × 105 j of work? one horsepower is equal to 746 watts. answer in units of s.

Answers

1 horsepower is equal to 746 W, so the power of the engine is
[tex]P=47.4 hp \cdot 746 \frac{W}{hp}=35360 W [/tex]
The power is also defined as the energy E per unit of time t:
[tex]P= \frac{E}{t} [/tex]
Where the energy corresponds to the work done by the engine, which is [tex]E=6.82 \cdot 10^5 J[/tex]. Re-arranging the formula, we can calculate the time t needed to do this amount of work:
[tex]t = \frac{E}{P}= \frac{6.82 \cdot 10^5 J}{35360 W}=19.3 s [/tex]

A certain instant camera determines the distance to the subject by sending out a sound wave and measuring the time needed for the wave echo to return to the camera. how long would it take the sound wave to return to the camera if the subject were 3.42 m away? the speed of sound is 343 m/s. answer in units of s.

Answers

Final answer:

The time it would take for the sound wave to travel to a subject 3.42m away and back, with a sound speed of 343 m/s, is approximately 0.01995 seconds.

Explanation:

The time it takes for the sound wave to return to the camera can be found by applying the equation distance = speed * time. This principle is often utilized in technologies such as sonar and ultrasound imaging. Here the distance is doubled since the sound has to travel to the subject and back to the camera. If the subject is 3.42 m away, the total distance covered by the sound wave is 3.42m * 2 = 6.84m. Given that the speed of sound is 343 m/s, we can rearrange the equation to solve for time: time = distance/speed. Hence, time = 6.84m / 343 m/s = 0.01995 s, rounded to 5 decimal places.

Learn more about Travel Time of Sound Waves here:

https://brainly.com/question/16703598

#SPJ12

It takes 0.02 seconds for the sound wave to return to the camera if the subject were 3.42 metres away.

The given question can be solved by simple use of kinematic equations. It is given that the camera determines the distance to the subject by sending out a sound wave. The speed of the sound wave is v = 343 m/s

Now, for a subject at a distance of 3.42 metres away the sound wave has to travel to the subject and travel back to the camera as well. Therefore the total distance covered by the sound wave will be twice the distance of the subject from the camera.

d = 2 × 3.42 m = 6.84 m

From the kinematic equation;

[tex]v = \frac{d}{t}[/tex], where t = time taken

rearranging for t, we get:

[tex]t = \frac{d}{v}[/tex]

substituting the values,

[tex]t = \frac{6.84 m}{343 m/s}[/tex]

or, t = 0.019 s ≈ 0.02 s

What is the strength of an electric field that will balance the weight of a 8.2 g plastic sphere that has been charged to -3.3 nC? Answer in N/C.

Approach: I know that the forces need to balance out, and that F=mg (mass*gravity) and that F=q*E (charge* electric field).
mg=qE
E=mg/q
Plugging in the numbers:
m = 8.2*10^-3 kg
q = -3.3*10^-9 C
g = 9.8*10^-3 N/g
And I get -24351.5152, but it's wrong. I know there is some error with the units, could someone show me what I am doing wrong?

Answers

Your approach is correct, but as you thought, the unit of measurement of mass is not in accordance with the unit of measurement of gravity: one is kg, the other one in N/g.
If you bring everything to kg, mass is correct and gravity will be g = 9.8 N/kg.
Therefore:
E = (m·g)/q = (8.2E-3×9.8)/(-3.3E-9) = -2.435E7

You get the same result if you use grams: m = 8.2g and g = 9.8E-3 N/g:
E = (m·g)/q = (8.2×9.8E-3)/(-3.3E-9) = -2.435E7

Which of the following best describes magnetic fields?
A. Magnetic fields need a conductor.
B. Magnetic fields are always found in insulators.
C. Magnetic fields have north and south magnetic poles.
D. Magnetic fields must have only positive charges.

Answers

Answer:

C

Explanation:

Because the north and the south pole are like the earth if they didn't attracted  we would all die.

Magnetic fields have north and south magnetic poles. This statement best describes magnetic fields. So, option(C) is correct.

What is magnetic field?

In the presence of a magnet, an electric current, or a shifting electric field, there is a vector field called a magnetic field where magnetic forces can be seen.

Electric charges in motion and the intrinsic magnetic moments of elementary particles connected to the fundamental quantum characteristic known as spin create a magnetic field.

As parts of the electromagnetic force, one of the four fundamental forces of nature, magnetic field and electric field are interdependent.

In magnetic field, there always be a north pole and a south pole because magnetic monopole doesn't exists. So, option (C) is correct.

To find more about magnetic field, refer the link:

https://brainly.com/question/14848188

#SPJ5

Two circuits have identical voltage sources. The only other elements in the circuits are resistors. The resistor in circuit A has a resistance that is four times as large as the resistance of the resistor in circuit B (RA = 4RB ). Which statement below best describes the current flowing through the two circuits? (Ohm's law: V = IR) A. The current flowing through circuit A is as large as the current flowing through circuit B. B. The current flowing through circuit A is 2 times as large as the current flowing through circuit B. C. The current flowing through circuit A is 4 times as large as the current flowing through circuit B. D. The current flowing through circuit A is as large as the current flowing through circuit B.

Answers

The correct answer is not included among the choices you posted.
That may have happened because you mistakenly copied the wrong
text for choice A or D .... As the question appears, those two choices
are the same thing.

The correct answer is:
The current in circuit-A is 1/4 of the current in circuit-B.

Final answer:

According to Ohm's law, since circuit A has a resistor four times larger than circuit B and both have identical voltage sources, the current in circuit A is one fourth as large as in circuit B.(Option D)

Explanation:

If two circuits have identical voltage sources and resistors and the resistance in circuit A is four times as large as the resistance in circuit B (RA = 4RB), we can apply Ohm's law (V = IR) to determine the relationship between the currents in each circuit. Since the voltage (V) across both circuits is the same, and the resistance (R) is four times higher in circuit A compared to circuit B, the current in circuit A will be four times smaller than the current in circuit B. Ohm's law rearranged to solve for current (I) is I = V/R.

Therefore, with a higher resistance in circuit A, the current is inversely proportional to the resistance. Hence, the correct statement is:

The current flowing through circuit A is one fourth as large as the current flowing through circuit B (Option D).

A piano tuner stretches a steel piano wire with a tension of 1000 n. the wire is 0.5 m long and has a mass of 5 g. what is the number of the highest harmonic that could be recorded by a computer that is capable of sensing frequencies up to 10,000 hz

Answers

The frequencies of the n-harmonics of a string is given by
[tex]f_n = \frac{n}{2L} \sqrt{ \frac{T}{\mu} } [/tex]
where n is the number of the harmonic, L the length of the wire, T the tension and [tex]\mu = \frac{m}{L} [/tex] is the linear density, with m being the mass of the string.
Let's calculate the linear density first, using the mass [tex]m=5 g=5 \cdot 10^{-3}kg[/tex]:
[tex]\mu = \frac{m}{L} = \frac{5\cdot 10^-3 kg}{0.5 m}=0.01 kg/m [/tex]
The problem says that the computer is able to analyze frequencies up to 10000 Hz. This means that we have to find the highest number of harmonic that generates a frequency smaller than this value. So, using [tex]f=10000 Hz[/tex], the tension of the string [tex]T=1000 N[/tex] and the mass m and the length of the string L, we can re-arrange the previous formula to find which n corresponds to this frequency:
[tex]n = 2f_n L \sqrt{ \frac{\mu}{T} }=2 (10000 Hz)(0.5 m) \sqrt{ \frac{0.01 kg/m}{1000 N} }=31.6 [/tex]
And since n can only be integer, the highest harmonic that can be analyzed by the computer is n=31.

Answer: 1. B) 720 N

2. D) 2500 m

3. D) 408 Hz

4. C) 4m

5. A) 246 hz

6. D) 31st

7. B) the frequency of the sound is 100 Hz

8. C) 0.78 m

9. B) 16 Hz

10. B) 311 m/s

You and friend run up a fight of stairs that is 30 m high. Both of you reach the top in 12 seconds. Your weight is 570 N and your friend weights 620 N. Which of you has more power? Show all work

Answers

P = F*d / t
P1 = 570N * 30m / 12s = 1425W
P2 = 620N * 30m /12s = 1550W
Your friend has more power

What kind of gas cloud is most likely to give birth to stars? what kind of gas cloud is most likely to give birth to stars? a cold, dense gas cloud a hot, dense gas cloud a hot, low-density gas cloud a cold, low-density gas cloud?

Answers

Hello! 

The kind of gas cloud that is most likely to give birth to stars is a cold, dense gas cloud.

Stars are formed in giant molecular clouds, called "star nurseries". These are regions with molecular Hydrogen, Helium, and little amounts of other elements. These are cold and dense regions, and the gas cloud collapses, forming a protostar. The protostar gradually heats, powering nuclear reactions in its center, which increases the temperature even more and giving birth to a star. 

Have a nice day!

30 points please help a girl out! 

A political action group that wants to overturn the Montreal Protocol monitors stratospheric ozone across the South Pole over a 10-year period. They compare changes in the ozone layer to increases in the average global temperature and find no correlation. Because of this, they claim that ozone layer depletion is a myth. What is the major flaw in their reasoning?

a. Global warming is not observable at the South Pole.
b. Only tropospheric ozone will correlate to global warming.
c. The loss of stratospheric ozone is not connected to global warming.
d. The effects of the Montreal Protocol will not be fully realized until 2050.
e. Ten years is too short a time period for meaningful data to be acquired.

Answers

Answer:

i think it's b

Explanation:

Final answer:

The group incorrectly assumes that ozone layer depletion is connected to global warming when they are separate issues. Ozone depletion is about the loss of stratospheric ozone that protects from ultraviolet radiation, while global warming concerns the greenhouse gas effect and climate change.

Explanation:

The major flaw in the reasoning of the political action group that wants to overturn the Montreal Protocol is c. The loss of stratospheric ozone is not connected to global warming. There is a common misconception that ozone layer depletion and global warming are directly related, but they are in fact separate phenomena resulting from different processes in the atmosphere. The ozone layer, consisting of ozone (O3) molecules, is crucial for absorbing harmful ultraviolet radiation from the sun and thereby protecting living organisms. The Montreal Protocol aimed to reduce the production and release of industrial chemicals like chlorofluorocarbons (CFCs), which were proven to contribute to ozone depletion. While the protocol led to a significant reduction in CFCs and a gradual recovery of the ozone layer, this effort is different from initiatives like the Kyoto Protocol, which address greenhouse gas emissions and aim to mitigate global warming.

About how often does a 1-kilometer object strike the earth? about how often does a 1-kilometer object strike the earth? every year every million years every billion years

Answers

The correct option is the second one, which is: Every million years.

 The impact of a 1-kilometer object on our planet, would cause significant consequences. As the astronomers have found in other terrestrial bodies, this kind of impact creates largers craters on the surface.

Force = mass x acceleration

What force would be required to accelerate a 40 kg mass by 4 m/s2?


160


160 N


10 N


10

Answers

The answer is (B 60N) hope it helps and have a good day!

Select the correct answer. Julie is cycling at a speed of 3.4 meters/second. If the combined mass of the bicycle and Julie is 30 kilograms, what is the kinetic energy? 1.7 × 102 joules 1.5 × 102 joules 2.0 × 102 joules 2.2 × 102 joules

Answers

Kinetic energy is 1/2 mv^2
1/2^30^3.4^2=15*11.56=173.4. 1.7^102=173.4. It is the first one.

Kinetic energy of a moving body can be calculated from mass and velocity. The kinetic energy of the cycler with a velocity of 3.4 m/s and mass of 30 Kg is 173 J or 1.7 × 10² joules.

What is kinetic energy?

Kinetic energy is form of energy formed by virtue of the motion of a body. It is directly proportional to the mass and square of the velocity of the body. The equation of kinetic energy can be written as follows:

KE = 1/2 mv²

When a body starts to move its kinetic energy starts to increase whereas, potential energy gets declined. As per the above relation, the kinetic energy of a body doubles when the mass is doubled. If the velocity is doubled, kinetic energy will increases by four times.

It is given that the combined mass of the cycle and the girl is 30  Kg and the velocity is 3.4 m/s. Kinetic energy can be calculated as follows:

KE = 1/2 30 × ( 3.4 )²

    = 173 J.

Therefore, kinetic energy of the cycler with a velocity of 3.4 m/s and mass of 30 Kg is 173 J or 1.7 × 10² joules and option a is correct.

To find more about kinetic energy, refer the link below:

https://brainly.com/question/12669551

#SPJ5

Many of our behaviors are adopted as a product of our _____.

A TV shows

B radio

C environment

D friends

Answers

Its definately D bro

What is the mass of a rock that weighs 49 newtons?

Answers

The answer is (1 kilogram) hope it helps and have a great day!

The mass of the rock is equal to 5 Kg when its weight is 49 N.

What is the weight of the object?

The weight of a body can be described as the force acting on the body due to gravity. Weight can be described as a vector parameter if gravity is acting on the object.

The S.I. unit for measurement weight is of force, which S.I. is the newton (N). A body with a mass of 1 kg has a weight of about 9.8 Newton on the surface of the Earth, and about 1/6 as much on the Moon.

The mathematical expression to find the weight of an object is written as follows:

W = mg

Given the weight of the rock, W = 49 N

The acceleration due to gravity on the rock, g = 9.8 m/s²

The mass of the rock on the earth will be equal to:

49 = m × 9.8 m/s²

m = 5 kg

Therefore, the mass of the rock is equal to 5 kg.

Learn more about weight, here:

brainly.com/question/13040516

#SPJ6

A 33.0 g iron rod, initially at 22.7 ∘c, is submerged into an unknown mass of water at 63.3 ∘c, in an insulated container. the final temperature of the mixture upon reaching thermal equilibrium is 58.5 ∘c. part a what is the mass of the water? express your answer to two significant figures and include the appropriate units.

Answers

The specific heat capacity of iron = 0.450 J/g°C
and the specific heat water = 4.18 J/g°C
Heat gained by iron; 
= 33 × 0.450 (58.5-22.7)
= 531.63 J
Heat lost by water; assuming the mass of water m
= m × 4.18 × (63.3 - 58.5)
= 20.064m
But; heat gained = heat lost
 20.064 m = 531.63
            m = 26.497 g
Therefore, the mass of water is 26.497 g

on the surface of planet x a body with a mass of 10 kilograms weighs 40 newtons. The magnitude of the acceleration due to gravity on the surface of planet X is

Answers


Weight  =  (mass) x (gravity)

   40 N  =  (10 kg) x (gravity)

Divide each side by  10 kg :

    gravity  =  (40 N) / (10 kg)  =  4 m/s²  .  

Which part of the carbon cycle is leading to coral bleaching? photosynthesis in plants respiration in plants absorption of carbon dioxide into the oceans

Answers

I would say that the answer is absorption of carbon dioxide into the oceans.

Answer: Option C

Explanation: The carbon dioxide is major green house gas that traps heat. But due to global warming the amount of carbon dioxide in the environment is increasing day by day.

The carbon dioxide gets in the ocean water and harms the organisms present in the ocean water. The coral present inside the water covers a very large area and is a major part of the marine ecosystem.

The carbon dioxide in excess leads to coral bleaching. This is a phenomenon in which the algae that is found inside the coral leaves the coral due to stress condition.

Thus, carbon dioxide in water increase the acidification in ocean which leads to coral bleaching.

An element's atomic number is 16. How many electrons would an atom of this element have?

Answers

If the atom is neutral, then the number of electrons will ALWAYS be the same as the number of protons (which is the atomic number), so in this case the number of protons is 16, and that make the number of electrons 16

The cube has a mass of 72.9 g. What substance is this cube composed of?

Answers

I Need More Details.
But here is somthing i found maybe the same.
https://brainly.com/question/1354966

9. How does the length of the hypotenuse in a right triangle relate to the lengths of the legs? (2 points)
Open ended/Short answer question

Answers

Answer:

hypotenuse² = base² +height²

Explanation:

Let us suppose a right angled triangle having b as base, h as hypotenuse and p as perpendicular distance.

The relation between the length of legs, the base and the hypotenuse is called Pythagoras theorem. It is given by :

[tex]h^2=b^2+p^2[/tex]

or

hypotenuse² = base² +height²

Answer:

The relation between the length of the hypotenuse in a right triangle and  lengths of the legs is [tex]H^{2} = p^{2}+b^{2}[/tex].

Explanation:

The legs of right angled triangle is also known as perpendicular and base respectively.

Let p be length of perpendicular and b be the length of base. Then by Pythagoras theorem,

[tex]H^{2} = p^{2}+b^{2}[/tex]

here, H is the length of Hypotaneous.

Thus, relation between the length of the hypotenuse in a right triangle and  lengths of the legs is [tex]H^{2} = p^{2}+b^{2}[/tex].

For more details, refer to the link:

https://brainly.com/question/23936129?referrer=searchResults

What’s the units of specific heat

Answers

Hello Esmeralda

Specific heat is measured in Joules per g times degree Celsius.


I hope this helps!

Final answer:

The units of specific heat, which indicate the amount of energy needed to raise the temperature of 1 g of a substance by 1°C, are joules per kilogram Kelvin (J/(kg·K)) or joules per kilogram degree Celsius (J/(kg·°C)) in the SI system, and calories (cal) in non-SI units.

Explanation:

The units of specific heat are an important aspect in understanding how much energy is required to change the temperature of a substance. The specific heat of a substance is the amount of energy needed to increase the temperature of 1 gram of the substance by 1°C. In the International System of Units (SI), the unit of specific heat is joules per kilogram Kelvin (J/(kg·K)) or joules per kilogram degree Celsius (J/(kg·°C)). Additionally, the non-SI unit called the calorie (cal) is sometimes used, where 1 calorie is the energy required to raise the temperature of 1 gram of water by 1°C.

It's important to note that the value of specific heat remains the same whether measured in J/(kg·K) or J/(kg·°C), since the temperature change is the same whether expressed in Kelvin or degrees Celsius. For practical and historical reasons, other units like the calorie and the kilocalorie (kcal) are also used, particularly in contexts like food energy where 'calories' commonly refer to kilocalories.

Which activity involves using fossil fuels directly or indirectly? 1)eating fresh fruit for a snack 2)cooking hot dogs on a campfire 3)using crayons to color 4)walking to school

Answers

3 Because crayons is a way of using fossil fuels directly.
using crayons to color i think would be the answer

On a fishing trip, Rebecca catches a fish that she has never seen before. What characteristics should she look at to determine which of the three main groups of fish her catch belongs to? What would she find if the fish is a bony fish?

Answers

she should look for the pattern on the skin

Why does the total amount of energy before and after any energy transformations remain the same?
 answer :   Because energy cannot be created or destroyed, the total input is equal to the total output. The total amount of energy remains the same even though it may change forms.

Answers

The amount of energy before and after any energy transformations remain the same because energy cannot be created or destroyed. From the law conservation of energy; any time energy is transferred between two objects, or converted from one form into another, no energy is created and none is destroyed. The total amount of energy involved in the process remains the same.

Energy cannot be created nor be destroyed. But it can change from on from one form to the other. The total energy in a system always remains a constant.

What is conservation of energy?

According to the law of conservation of energy, energy can neither be created nor be destroyed. Therefore, the total energy of a system remains constant.

However, one form of energy can be converted to other form. There are different kinds of energy generating from different sources. Kinetic energy, potential energy, nuclear energy, gravitational energy, thermal energy, chemical energy, light energy etc. are different forms of energy.

In battery or cell the chemical energy is converted to electrical energy. Similarly in a solar cell light energy is converted to electrical energy. Whereas, in all electrical devices such as fan, motors, etc electrical energy is converted to the mechanical energy.

In this way the total energy of the system is always maintained on itself without any loss or gain in amount. Therefore,  the total amount of energy before and after any energy transformations remain the same to balance the system.

To find more about energy transformations, refer the link below:

https://brainly.com/question/8210521

#SPJ5

Two point charges of equal magnitude are
7.5 cm apart. At the midpoint of the line
connecting them, their combined electric field
has magnitude of 45 N/C. Find the magnitude
of the charges.
Pls show me the complete calculation,

Answers

We know that the electric field generated by to charges at a certain point between them is given by:
E = 1/(4πε₀) · (q₂ / d₂² - q₁ / d₁²)
Please note that distances must be in [m] in order to have the correct units of measurements.

In our case, we are at the midpoint between the two charges, therefore d₁ = d₂ = d and:
E = 1/(4πε₀d²) · (q₂ - q₁)

In order for the term (q₂ - q₁) to be ≠0, since the two charges have equal magnitude, they must be of opposite sign. For convenience, we decide 
q₂ = q 
q₁ = -q

Therefore we get:
E = 1/(4πε₀d²) · (q - (-q)) = 1/(4πε₀d²) · (2q) =  q / (2πε₀d²)

We now solve for charge q:
q = 2π · ε₀ · d² · E
   = 2π · (8.854×10⁻¹²) · (3.75×10⁻²)² · (45)
   = 3.52×10⁻¹²C

Therefore:
q₂ = +3.52×10⁻¹²C
q₁ = -3.52×10⁻¹²C

Match the boundary with its characteristic

1. Convergent
2. Divergent
3. Transform


A. Along strike-slip faults
B. Along ocean ridges
C. Compression,

Answers

Matching the boundary with its characteristics 1. Convergent - C. Compression 2. Divergent - B. Along ocean ridges 3. Transform - A. Along strike-slip faults The compression that occur in the convergent boundary causes the reverse fault in the earth crust. So in the divergent boundary two crust plates move apart causing a normal fault along the ocean ridges. The faults in the transform boundary happens at the place where plates slide laterally.
The  answers are the following:
1. Convergent - C. Compression
2. Divergent - B. Along ocean ridges
3. Transform - A. Along strike-slip faults

These are the plate tectonic boundaries that which causes earthquakes when they move. Each tectonic boundaries result to different movement of the plates and forms new landmasses.

A certain radio wave has a frequency of 2.0 x 10^6 Hz. What is its wavelength?

Can someone help me solve this??

Answers

Solution:  
Formula for finding wavelength from frequency is wavelength=wave velocity(c)/frequency(f). 
 General value of Wave velocity (c) = 3 x 10^8 m/s
 Given frequency = 2.0 x 10^6 Hz 
 Now,
 Wavelength = 3 x 10^8 m/s / 2.0 x 10^6 Hz
  = 150 m
 Therefore the value of wavelength is 150m.
Other Questions
which of these equations represents functions? check all that apply Translate the following command. Capitalization or beginning and ending punctuation aren't necessary, but spelling and accents are.Let's sit down. which pull factor would most likely encourage an immigrant who wanted to raise and sell cattle in the united states? Does anyone have full test? 4a - 4( 15a - 2) - 8 Read the excerpt from Act I of The Monsters Are Due on Maple Street. The boy suddenly stops again conscious of the parents staring at them and of the sudden hush of the crowd. CONTINUED 34. CONTINUED 34. SALLY (in a whisper, sensing the antagonism of the crowd) Tommy, please son . . . honey, don't talk that way What does this excerpt tell the reader about Sallys point of view? She is frustrated that no one in the group believes her sons theory. point of view She is concerned because her son is speaking the truth about the flash. She is worried about the well-being of her son among an angry group. She is confused about why the group may be agitated by her son. Which expression is equivalent to: 25a + 5b - 13 one-half of a number increased by 16 is 4 less than two-thirds of the number what is the number. what is 4/5 * 2[tex] \frac{4}5 \times 2 [/tex] A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length of 196196196 centimeters (\text{cm})(cm)left parenthesis, c, m, right parenthesis, and the tent is 250\,\text{cm}250cm250, space, c, m long. what is the height, in centimeters, of the tent? Which of the following statements describes a correct method for solving the equation below? 3x + 3 = 6x A. Subtract 3x from both sides of the equation, and then divide both sides by 3. B. Add 3x to both sides of the equation, and then divide both sides by 3. C. Divide both sides of the equation by 6, and then subtract 3 from both sides. D. Divide both sides of the equation by 6, and then add 3 to both sides. Which agent of metamorphism can cause the overall composition of rock to change? heat energy pressure hydrothermal solutions Health care, as a good, is best described by:a. health care should be supplied by the government because it generates positive externalities.b. health care should not be supplied by the government because the private market preserves incentives to improve health care with innovation and medical technology.c. health care should not be supplied by the government because consumers pay a price well above the true cost of providing the service.d. health care should be supplied by the government because it is nonexcludable.e. both a andb. What is the area of a triangle that has a base of 15 1/4 in and a height of 18 in? ______ was very active in promoting the work of the impressionists in Europeand America.In the art world, a ______is a gathering or exhibition of works of art.______was Mary Cassatts lifelong friend and most important mentor.______felt that art should capture joy and beauty to celebrate life.Manets work represents a transition from _______ to impressionism.Miss Lala at the cirque Fernando is an example of the _______ composition favored byEdgar Degas.Compared to _______, Claude Monet considered himself and the other impressioniststo be nothing.An impressionist painting of waterlilies is almost surely the work of _______.Much of the work of Henri Toulouse-Lautrec reflects the nightlife in and around the______ in Paris.The term Nabis comes from the Hebrew word meaning _______.The _______ technique involves thickly laying on paint to create texture in a painting._______ began as a part-time amateur artist.Like the impressionists, post-impressionists work was often influenced by _______and photography.Based on what you've read, respond to the following.List at least three of the common features found in impressionist art.According to art historians, why was the work of Alfred Sisley not given more attentionduring his lifetime?To art historians, what was important about Czannes paintings of Mont Sainte-Victoire?Considering their art, their lives, and their temperaments, what did Gauguin and van Goghhave in common? how many fluid ounces are in 3 quarts and 2 cups ? What are the three longest wavelengths for standing waves on a 280-cm-long string that is fixed at both ends? enter your answers numerically separated by commas? The medulla oblongata, the pons and the midbrain make up the brainstem. a. True b. False Review the description.(The Secret Garden)Ben Weatherstaff says that Mary and he are ''cut from the same cloth.''Which best describes Mary's character traits based upon this description.A. She is unattractive and disagreeable.B. She is friendless and without hope.C. She is ignorant and unwanted.D. She is distrustful and disloyal. La poesa afroantillana, de Luis Pals Matos, destaca los rasgos culturales ancestrales de la raza africana: su carcter, su temperamento, su constitucin fsica, sus ritmos y sus bailes. Por otra parte, algunos de sus poemas resaltan la constitucin mestiza del puertorriqueo, en particular, y del antillano, en general. Por eso, el propio Pals, en un artculo periodstico nos dice: .Cul es una frase que podra ser parte del artculo? Particip en la poltica de la isla, exhibiendo grandes dotes de orador. En la campaa poltica de 1929, se involucr en el movimiento independista de Puerto Rico. Poeta cubano, es considerado el mximo representante de la llamada poesa negra centroamericana y poeta nacional de la isla por su obra ligada a la cultura afrocubana. La corriente posvanguardista surgi en Puerto Rico, con el propsito de resaltar diversos aspectos de la cultura africana establecida en las Antillanas. A la edad de diecisis, public Azaleas, su primer libro de versos. En este, su primer libro, se ve claramente la influencia de los poetas modernistas hispanoamericanos de su tiempo como Rubn Daro. Medals and Fan!Given a segment with endpoints A and B, what figure can you construct using the steps below?Step 1: Draw a ray with endpoint C.Step 2. Open the compass to the length of ABStep 3: With the same compass setting, put the compass point on point C. Draw and arc that intersects the ray. Label the point of intersection D.A. A perpendicular BisectorB. A congruent segmentC. an angle bisectorD. a congruent angle,