A mass with a charge of 4.60 x 10-7 C rests on a frictionless surface. A compressed spring exerts a force on the mass on the left side. Three centimeters to the right of the mass is a 7.50 x 10-7 C fixed charge. How much is the spring compressed if its spring constant is 14 N/m

Answers

Answer 1

Answer:

The compression of the spring is 24.6 cm

Explanation:

magnitude of the charge on the left, q₁ = 4.6 x 10⁻⁷ C

magnitude of the charge on the right, q₂ = 7.5 x 10⁻⁷ C

distance between the two charges, r = 3 cm = 0.03 m

spring constant, k = 14 N/m

The attractive force between the two charges is calculated using Coulomb's law;

[tex]F = \frac{kq_1q_2}{r^2} \\\\F = \frac{(9\times 10^9)(4.6\times 10^{-7})(7.5\times 10^{-7})}{(0.03)^2} \\\\F= 3.45 \ N[/tex]

The extension of the spring is calculated as follows;

F = kx

x = F/k

x = 3.45 / 14

x = 0.246 m

x = 24.6 cm

The compression of the spring is 24.6 cm


Related Questions

What are possible units for impulse? Check all that apply.
▪️kg•m
▪️kg• m/s
▪️N•s
▪️N•m
▪️N•m/s

Answers

Answer:

kg.m/s

Explanation:

it is a division of a mass and a speed

What do the planets Saturn, Neptune, and Uranus have in common?
A. They are all smaller than Earth.
B. They are the closest to the Sun.
C. They are all outer planets.
D. They are all inner planets.

Answers

Answer:

they are all outer planets

what is hydrofluorocarbon​

Answers

Answer:

Hydrofluorocarbons (HFCs) are man-made organic compounds that contain fluorine and hydrogen atoms, and are the most common type of organofluorine compounds. Most are gases at room temperature and pressure.

Answer:

Hydrofluorocarbons (HFC) are man-made organic compounds that contain fluorine and hydrogen atoms and are the most common type of organofluorine compounds. Most are gases at room temperature and pressure. HFCs are produced synthetically and are used primarily as refrigerants. In general, they are relatively non-flammable, chemically stable, and nonreactive.

Động cơ khởi động của một ô tô bị quay chậm , thợ cơ khí quyết định phải thay động cơ , dây cap hoặc acquy. Hướng dẫn sử dụng nói rằng acquy 12v phải có điện trở 0.002 ( ôm) , động cơ có điện trở không quá 0.2 (ôm) và dây cáp có điện trở không quá 0.04 ( ôm) , thợ cơ khí cho động cơ chạy đo được là 11,4v trên acquy , 3v trên cáp và dòng bằng 50 A , vậy phần nào bị hỏng ?

Answers

Answer:

Việc nắm được các thông số của bình ắc quy cho xe máy sẽ giúp bạn ... Khi di chuyển với tốc độ chậm hoặc gặp phải tắc đường, đối với xe có ... sau: ắc quy có điện áp 12V, CCA = 600, có nghĩa là ắc quy có thể cung cấp

Explanation:

A car starting from rest has a constant acceleration of 4 meters per second per second. How fast will it be going in 5 seconds?

Answers

Answer:

18 m

Explanation:

Given : vo = 0 m/s ; t = 3 s; a = 4 m/s^2 ; d = ? m ; average velocity = ? m/s ; fonal velocity = ? m/s

solving for the final velocity, v

v = a * t

v = 4 m/s^2 * 3 s

v = 12 m / s

Solving for the average velocity. avg v

avg v = (vo + v) / 2

avg v = (0 m / s + 12 m/s) / 2

avg v = 6 m / s

Solving for the distance traveled after 3 s

d = avg v * t

d = 6 m / s * 3 s

d = 18 meters

In the first 3s the car travels 18 meters.

If a car starting from rest has a constant acceleration of 4 meters per second per second, then it would be going at a speed of 20 m / s.

What are the three equations of motion?

There are three equations of motion given by Newton,

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

As given in the problem, a car starting from rest has a constant acceleration of 4 meters per second per second,

By using the first equation of the motion,

v = u + at

v = 0 + 4 × 5

v = 20 m / s

Thus,If a car starting from rest has a constant acceleration of 4 meters per second per second, then it would be going at a speed of 20 m / s.

To learn more about equations of motion here, refer to the link given below ;

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A hovering mosquito is hit by a raindrop that is 45 times as massive and falling at 8.2 m/s , a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic

Answers

Answer:

The speed of the raindrop  and the mosquito is 8.02 m/s.

Explanation:

mass of mosquito = m

mass of drop = 45 m

initial velocity of mosquito, u = 0 m/s  

initial velocity of drop,  u' = 8.2 m/s

During the inelastic collision, the momentum of the system is conserved.  

Let the speed of rain drop and the mosquito is v.

Use the conservation of momentum

m x u + 45 m x u' = (m +  45 m) v

m x 0 + 45 m x 8.2 = 46 m x v

v = 8.02 m/s

A proton moves across a magnetic field and feels a force. If an electron were to
move at the same speed in the same direction across the same magnetic field, the
force
O 1) would be smaller in the opposite direction
O2) would be the same magnitude in the same direction
3) would be the same magnitude in the opposite direction
4) would be larger in the opposite direction
5) would be smaller in the same direction

Answers

potang ina mooooooo bubu hayop kaaaaapestrng yawa

Explanation:

peste kakkkkaaaaaaaa bubu pesteng yawaaaayaka kaayu kaaaaaaa

A solid sphere a solid cylinder, and a hoop each have the same mass and radius. If they are spinning at the same angular velocity, which one has the greatest rotational kinetic energy

Answers

Answer:

KE = 1/2 I * w^2       where I = moment of inertia and w the angular velocity

The hoop has all of it mass at a distance of R from the axis of rotation,

I = M R^2 for the hoop,  the others have values of I that are less that of the hoop.

What is the voltage drop across the 10.0 alpha resistor

Answers

Answer:

wow so cool the answer is vr 10

What is the electric field at a point 0.450 m to the left of a -5.77*10^-9 C charge?
Include a + or - sign to indicate the direction the field.

The answer is -0.13

Answers

The answer is -0.13
Hope this helps

256.2 is the answer.

Here, we are asked to calulate the electric field.

Using the following formula:

E=k*lql/r^2

Yeah! Something that can easily bamboozle you.

So:

E=electric field

k=constant (8.99x10^9)

q=charge

ll= absolute value marks ( I still remember from my Algebra Course))

r=distance

Now, let's plug in the numbers.

E=8.99x10^9*l-5.77x10^-9l/(0.450)^2

And  yes! That's a LOT!

But I solved the same problem on paper 2 minutes ago:)

If you perform the calculations, you will get 256.2

Well. THIS one was correct or Acellus.

So our answer is:

256.2 N/CNewtons per CoulombHope this helps:)

Question 23 of 33 Which phrase best describes when kinetic friction occurs? A. When two surfaces are moving relative to each other B. When one object is resting on another C. When two surfaces are in contact but not moving relative to eatn other D. When balanced forces are acting on an object​

Answers

Answer:

A. When two surfaces are moving relative to each other.

Explanation:

It is also know as dynamic friction

g A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side

Answers

Answer:

[tex]W=2.69*10^{6}J[/tex]

Explanation:

Generally the equation for momentum is mathematically given by

Diameter [tex]d=10m[/tex]

Radius [tex]r =\frac{d}{2}=>5m[/tex]

Height [tex]h=4m[/tex]

Depth [tex]d=3m[/tex]

Generally the equation for Area of the circle is mathematically given by

[tex]A=\pi r^2[/tex]

[tex]A=\pi 5^2[/tex]

[tex]A=78.5m^2[/tex]

Generally the equation for Work done is mathematically given by

[tex]d_w=d_f*x[/tex]

Where

[tex]d_f=(\rho*d_v)*g[/tex]

Therefore

[tex]d_w=((\rho*d_v)*g)*x[/tex]

[tex]d_w=((1000*78.5)*9.8)*x dx[/tex]

[tex]d_w=769300x dx[/tex]

[tex]W=\int dw[/tex]

[tex]\int dw=769300 \int^4_{3}x dx[/tex]

[tex]W=(769300\2)*7[/tex]

[tex]W=2.69*10^{6}J[/tex]

3. A small statue is recovered in an archaeological dig. Its weight is measured to be 96 lb, and its volume 0.08 ft3. a. What is the statue’s weight density?

Answers

Answer:

[tex]d=1200\ lb/ft^3[/tex]

Explanation:

Given that,

The weight of the statue, m = 96 lb

The volume of the statue = 0.08 ft³

We need to find the statue’s weight density. We know that the density of an object is the mass of an object divided by its volume. So,

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{96\ lb}{0.08\ ft^3}\\\\d=1200\ lb/ft^3[/tex]

So, the density of the statue is equal to [tex]1200\ lb/ft^3[/tex].

Part
A block of mass 2 kg is acted upon by two forces: 3 N (directed to the left) and 4 N (directed to the right). What can you say about the blocks motion?


Answers

Answer:

Explanation:

the block will move to the right side with small velocity because the force from the left side greater than force from right side. Velocity will be less because of friction and gravitational attraction.

If a block of mass 2 kg is acted upon by two forces: 3 N (directed to the left) and 4 N (directed to the right), then the block would move towards the right side.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem statement If a block of mass 2 kg is acted upon by two forces: 3 N (directed to the left) and 4 N (directed to the right),

The net force acting on the block = 4 Newtons - 3 newtons

                                                       = 1 Newton

Thus, we can say that the block would move to the right side.

To learn more about Newton's second law here, refer to the link given below;

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How does image differ from shadow?

Answers

Answer:

Image is formed by the reflection of light rays by an object. Image has the colour of the object. ... Shadow is formed by the obstruction of light by an opaque object. Shadow is always black.

Image is formed by the reflection of light rays by an object. Image has the colour of the object.

Shadow is formed by the obstruction of light by an opaque object. Shadow is always black.


14. Name the 3 primary causes for the expected mass migration due to Climate
Change.

Answers

Answer: sea-level rise, extreme weather events, and drought, and water scarcity.

Explanation:

A _____ is used to make magnifying glasses.

convex mirror
concave lens
plane mirror
convex lens
concave mirror

Answers

A convex lens is used to make magnifying glasses
Conevex , you welcome

At an amusement park, a 7.00 kg swimmer uses a water slide to enter the main pool. The swimmer starts at rest, slides without friction, and descends through a vertical height of 0.40 m. Find the total energy present when the swimmer is at the top of the slide.

Answers

Answer:

27.44 J

Explanation:

We can find the energy at the top of the slide by using the potential energy equation:

PE = mgh

At the top of the slide, the swimmer has 0 kinetic energy and maximum potential energy.

The swimmer's mass is given as 7.00 kg.

The acceleration due to gravity is 9.8 m/s².

The (vertical) height of the water slide is 0.40 m.

Substitute these values into the potential energy equation:

PE = (7.00)(9.8)(0.40) PE = 27.44

Since there is 0 kinetic energy at the top of the slide, the total energy present is the swimmer's potential energy.

Therefore, the answer is 27.44 J of energy when the swimmer is at the top of the slide.

If a 50 W light bulb and a 90 W light bulb operate from 120 V, which bulb has a greater current in it?

50 W
90 W

Answers

the 50 W bulb would have a greater current than the 90 W bulb

Look at the graph and extrapolate how many baskets were made by the team at 8.5 minutes.


A.
3
B.
1
C.
23
D.
24

Answers

C
djjsksksndndjjsbdndnnamqkandbdbs

Research indicates that genetics does not influence levels of aggression.


Please select the best answer from the choices provided

True or
False

Answers

Answer:

False

Explanation:

Took the test and got a 100%

The statement " Research indicates that genetics does not influence levels of aggression." is False.

What is genetics?

Genetics is the branch of biology that studies genes, heredity, and genetic variation in living organisms. It involves the study of how traits and characteristics are passed down from one generation to another through the genetic material, such as DNA, that is contained in the chromosomes of cells. Genetics plays a crucial role in understanding the development, growth, and functioning of organisms, as well as the causes and treatment of genetic diseases.

Here in the Question,

The statement that "genetics does not influence levels of aggression" is not entirely accurate. While there is no single gene that determines aggressive behavior, research has shown that genetics can play a role in influencing aggression.

Studies have found that certain genes are associated with increased risk for aggressive behavior, including those involved in the regulation of neurotransmitters such as serotonin and dopamine, which are known to affect mood and behavior. Additionally, environmental factors can interact with genetic factors to increase or decrease the expression of genes that influence aggression.

So, it is important to note that genetics is not the sole determinant of aggression. Environmental factors, such as childhood experiences, exposure to violence, and social and cultural influences, also play a significant role in shaping behavior.

Therefore, it is more accurate to say that aggression is a complex interplay between genetic and environmental factors.

To learn more about genes click:

https://brainly.com/question/29762819

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You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12 angle with the horizontal. As you face the window (0.90 m high, 2.0 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window corner A and eventually disappears at window corner B. How much time passes between appearance and disappearance of the upper edge of the wall

Answers

Questions Diagram is attached below

Answer:

[tex]T=2.08s[/tex]

Explanation:

From the question we are told that:

Speed of Train [tex]V=3.0m.s[/tex]

Angle [tex]\theta=12\textdegree[/tex]

Height of window [tex]h_w=0.90m[/tex]

Width of window [tex]w_w=2.0m[/tex]

The Horizontal distance between B and A from Trigonometric Laws is mathematically given by

 [tex]b=\frac{0.9}{tan12}[/tex]

 [tex]b=4.23[/tex]

Therefore

Distance from A-A

 [tex]d_a=2.0+4.23[/tex]

 [tex]d_a=6.23[/tex]

Therefore

Time Required to travel trough d is mathematically given as

 [tex]T=\frac{d_a}{v}[/tex]

 [tex]T=\frac{6.23}{3}[/tex]

 [tex]T=2.08s[/tex]

Match each date to the correct description.

1. autumnal equinox
June 21
2. vernal equinox
September 22
3. longest day in Northern Hemisphere
December 22
4. longest day in Southern Hemisphere
March 21

Answers

June 21: longest day in Northern Hemisphere

December 22: longest day in Southern Hemisphere

September 22: autumnal equinox

march 21: vernal equinox

Answer:

Autumnal Equinox: September 22nd

Vernal Equinox: March 21st

Longest day in the Northern Hemisphere: June 21st

Longest day in the Southern Hemisphere: December 22nd

Explanation:

I hope this helps! <3

what is the length of x of the side of the triangle below?

Answers

The answer is c. I hope it’s clear

a 4 kg block of iron weighs about

a.) 4 N
b.) 40 N
c.) 0.4 N
d.) more than 400 N

Answers

Answer:

40 N

Explanation:

[tex]w = mg \\ w = 4 \times 9.81 \\ w = 39.24 = 40 \: [/tex]

what mass of water will release 60000 J of energy while cooling from 40.0 degrees celsius to 20.0 degrees celsius?

Answers

Answer:

714.286g

Explanation:

Q=mcT

60000=m×4.2×(40-20)

m=714.285....g

A good-quality measuring tape can be off by 0.58 cm over a distance of 22 m. What is its percent uncertainty

Answers

Answer:

22 m = 2200 cm

.58 / 2200 = .00026 = .026 %

Percent error = +_ .026      

Consider the cylindrical weir of diameter 3 m and length 6m. If the fluid on the left has a specific gravity of 0.8, find the magnitude and direction of the resultant force

Answers

This question is incomplete, the complete question is;

Consider the cylindrical weir of diameter 3m and length 6m. If the fluid on the left has a specific gravity of 1.6 and on the right has a specific gravity of 0.8, Find the magnitude and direction of the resultant force.

Answer:

- the magnitude of the resultant force is 557.32 kN

- the direction of resultant force is  48.29°

Explanation:

Given the data in the question and the diagram below,

First we work on the force on the left hand side.

Left Horizontal

[tex]F_{LH[/tex] = βgAr

here, h = 3/2 = 1.5 m, β = 1.6, g = 9.81 m/s², A = 3 m × 6 m = 18 m²

we substitute

[tex]F_{LH[/tex] = βgAh = ( 1.6 × 1000 ) × 9.81 × 18 × 1.5 = 423792 N

Left Vertical

[tex]F_{LV[/tex] = ( βgπh² / 2 ) × W

we substitute

[tex]F_{LV[/tex] = [ ( ( 1.6 × 1000 ) × 9.81  × π(1.5)² ) / 2 ] × 6 = 332845.458 N

Now we go to the right hand side

Right Horizontal

[tex]F_{RH[/tex] = βgAh

here, h' = 1.5/2 = 0.75 m, β = 0.8, g = 9.81 m/s², A = 1.5 m × 6 m = 9 m²

we substitute

[tex]F_{RH[/tex] = ( 0.8 × 1000 ) × 9.81 × 9 × 0.75 ) = 52974 N

Right Vertical

[tex]F_{RV[/tex] = ( βgπh² / 4 ) × W

we substitute

[tex]F_{RV[/tex] = [ ( ( 0.8 × 1000 ) × 9.81  × π(1.5)² ) / 4 ] × 6 =  83211.36 N

Hence

Fx = [tex]F_{LH[/tex] - [tex]F_{RH[/tex] = 52974 N - 423792 N =  370818 N

Fy = [tex]F_{LV[/tex] + [tex]F_{RV[/tex] = 332845.458 N + 83211.36 N = 416056.818 N

R = √( Fx² + Fy² ) = √[ (370818 N)² + (416056.818 N)² ] = 557323.3 N

R = 557.32 kN

Therefore, the magnitude of the resultant force is 557.32 kN

Direction of resultant force;

tanθ = Fy / Fx

we substitute

tanθ = 416056.818 N / 370818 N

tanθ = 1.121997

θ = tan⁻¹( 1.121997 )

θ = 48.29°

Therefore, the direction of resultant force is  48.29°

What do different forms of energy have in common?
A. They can push or pull on objects.
B. They give objects mass.
C. They can cause changes in matter.
D. They can cause objects to move.

Answers

Answer:

C because it changes your energy

true or False? PLEASE HELP ME​

Answers

Answer:

a. True - Joules is the unit measure for energy.

b. False - Potential energy is associated with position

c. False - Kinetic energy is associated with movement.

d. False - It's climbing, which means it also has kinetic energy.

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