Suppose that the potential energy of a particle constrained

Answers

Answer 1

The graph of the potential energy pass through zero origin, cuts across positive x-axis and negative x-axis.

Slope of the graph

The slope of the graph when the potential energy of a particle constrained in on x-axis is determined as follows;

F = -dU/dx

-dU = Fdx

dU = -Fdx

U = -∫(kx + ax³)dx

U = kx²/2 - ax⁴/4

When, x = 0, U = 0

When U = 0;

[tex]x = \pm \sqrt{\frac{2k}{a} }[/tex]

The graph of the potential energy pass through zero origin, cuts across positive x-axis and negative x-axis.

Complete question is below:

Suppose that the potential energy of a particle constrainedon x-axis and subjected to a force in the same direction, at a fuction of F(x) = -kx + ax³.

Find the functional form of the potential energy.

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Related Questions

A pendulum of length 1m and period 2.01s is placed at the top of mount everest having an altitude of 8849m. calculate the value of g at that point

Answers

Answer:

F = K M / R^2      acceleration due to gravity at R

F2 / F1 = (R1 / R2)^2

R1 = radius of earth = 6.37E6 m

R2 = 6.37E6 + 8.85E3 = 6.38E6

F2 / F1 = .9984^2 = .997

The value of g would only be about .003 less than at the surface

to verify the law of solid friction project work of physics ​

Answers


I am want the anwer to

If an object accelerating at −1.5m/s^2 takes 1.2s to reach 5.0m/s, what was its initial speed?

Answers

-1.5 m/s^2 x 1.2 seconds = -1.8 m/s

It is a negative value which means the object slowed down. The object would have originally been going that amount more.


5.0 + 1.8 = 6.8 m/s


answer: 6.8 m/s

Which substance, when mixed with water, will produce the best conductor of electricity?.

Answers

Answer:

Table Salt

Explanation:

Table Salt has free ions in water that conduct electricity so when mixed with water produces the best conductance of electricity

It makes no difference how many coils of wire there are, the same amount of voltage is produced with any number of coils.

True or false

Answers

The given statement is false. Because the induced emf is dependent on the number of coil.  

What is Faraday law of electromagnetic induction?

According to  Faraday's law of electromagnetic induction the rate of change of magnetic flux link with coil is responsible for generating emf in the coil result in the flow of amount of current .

So in order to increase the current we need to increase the EMF;

so we can increase it by;

1) Increasing the number of turns

2) Increase the area of the loop

3) By moving the magnet faster

Hence, the given statement is false.

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The rate of change of velocity is called:.

Answers

Answer: Acceleration

Detailed Explanation:

Acceleration is defined as the rate of change of velocity.

The 4000 v equipotential surface is 26. 0 cm farther from a positively charged particle than the 5000 v equipotential surface

Answers

The charge on the particle when the 4000 v equipotential surface is 26. 0 cm farther from a positively charged particle than the 5000 v equipotential surface is 2.89×10⁻⁵ nC.

How to find the point charge due?

The point charge can be found using the following expression.

[tex]q=\dfrac{Vr}{K}[/tex]

Here, V is the potential of a point charge, r is the distance and K is the coulombs constant.

This equation can also be given as,

[tex]r=K\dfrac{q}{V}[/tex]

The 4000 V equipotential surface is 26.0 cm farther from a positively charged particle than the 5000 v equipotential surface. For this case, the distance at both point is,

[tex]r_1=K\dfrac{q}{V_1}\\r_2=K\dfrac{q}{V_2}[/tex]

Subtract both the distance which is equal to 26 cm.

[tex]r_1-r_2=K\dfrac{q}{V_1}-K\dfrac{q}{V_2}\\26=Kq(\dfrac{1}{V_1}-\dfrac{1}{V_2})\\26=(9\times10^9)q(\dfrac{1}{4000}-\dfrac{1}{5000})\\q=2.89\times10^{-14}\rm\; C\\q=2.89\times10^{-5}\rm\; nC[/tex]

Thus, the charge on the particle when the 4000 v equipotential surface is 26. 0 cm farther from a positively charged particle than the 5000 v equipotential surface is 2.89×10⁻⁵ nC.

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When is static electricity most noticeable and why.

Answers

Answer:

You've probably noticed that static electricity is more noticeable during the winter months. This is because the air is very dry. In the summer, the humidity and moisture in the air help electrons move more quickly, which makes it harder to build up a big static charge.

Explanation:

To three significant figures, the speed of light is _____.

Answers

Explanation:

300,000,000 ÷ 3.00 = 100,000,000 = 10^8

So we can write 300,000,000 = 3.00 x 100,000,000 = 3.00 x 10^8.

The speed of light is 3.00 x 10^8 m/s.

A 900 kg car speeds up from 33m/s to 45 m/s. How much work is done to increse the speed?
Hint: ( Work done = Change in energy, here it is change in K.E)

Answers

Answer:

f=ma

m=900

a=45-33=12÷1=12

12×900=f

f=10800

2
8. Automobile tires are made of rubber infused with carbon and metal wires. Durability aside, why
not make tires out of pure rubber?

Answers

Tires aren't made from pure rubber because it makes the weight higher which increases the engine load.

What is Tyre?

This is defined as a piece of rubber which is attached to the wheels of automobiles for movement.

Pure rubber isn't used to make tyres because it has a higher weight which increases the engine load thereby making the vehicle slower.

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The load across a 12-v battery consists of a series combination of three resistances are 15 ω, 21 ω, and 24 ω, respectively

Answers

The magnitude of the circuit current is 0.20 A. The value of the current in the circuit is found with the help of the ohm's law.

What is ohm’s law?

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

All the resistance combined in the series so that the equivalent resistance is;

[tex]\rm R_{eq}= R_1+R_2+R_3 \\\\ R_{eq}=15+21+24 \\\\ R_{eq}=60 \ ohm[/tex]

This current-voltage connection may be expressed mathematically by the Ohm's Law;

V=IR

[tex]\rm I_{total} = \frac{V}{R_{total}} \\\\ \rm I_{total} = \frac{12}{60} \\\\ I_{total} = 0.20 \ A[/tex]

Hence, the magnitude of the circuit current is 0.20 A.

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Cesium has 37 isotopes, the most of any element on the periodic table. One of Cesium's most stable isotopes undergoes beta decay to form Barium-135. Which of the following is the correct isotopic notation for the original Cesium isotope before it decayed?

Answers

Cesium has 37 isotopes. One of Cesium's most stable isotopes undergoes beta decay to form Barium-135. 135 Cs 55 is the correct isotopic notation for the original Cesium isotope before it decayed.

What is beta decay?

Beta decay is a radioactive decay in which a proton is converted into a neutron or vice versa inside the nucleus of the radioactive sample.

In beta decay, an electron is ejected which increases the atomic number.

135Cs55 ⇒135Ba56  + 0e-1

Cesium      Barium      beta particle

Thus, 135 Cs 55 is the correct isotopic notation for the original Cesium isotope before it decayed.

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Subject- Science 6th grade
please help with my hw. Thank you!​

Answers

Answer: Stationary front.

Sometimes an approaching front will stall for several days with warm air on one side of it and cold air on the other side. When the boundary between two air masses stalls, a stationary front forms. Cloudy skies and light rain are found along stationary fronts.

A 0.200-g ball hangs from a thread in a vertical electric field of 3.00 kN/C directed upward. What is the
charge on the ball if the tension in the thread is (a) zero and (b) 4.00 mN?

Answers

Use the conservation of energy:
mg = Eq
q = mg / E
= ( 0.200* 10 ^ -3 kg ) (9.8 m/s^2 ) / 3000 N /C )
= 0.653 micro C

b)
mg = T + Eq
mg - T = E q
q = T-mg / E
= ( 4 * 10 ^ -3 N ) -( 0.2*10^ -3 kg ) ( 9.8 m/s^2 ) / 3000 N /C
= 1.26 micro C
Tension in the thread is 0, when
Mg = force due to electric field
.200* 10^-3*9.8 =q*3*10^3
Therefore, q= .200*10^-3*9.8/3*10^3
Net tension =4*10^-3N
i.e. mg-qE = 4*10^-3
.200*9.8*10^-3
The ball is in equillibrium if it is under the effect of three forces that is unde the tension of the thread , the pull of gravity on the ball= w=mg= 0.2*10^-3*9.8=1.96*10^-3 N and the coulumb force having charge x which is downward if the ball is positve and upward if the ball is negative. Fc=qE =x*3000N/C.
first case
T-mg-Fc=0 => T=0
mg=Fc
1.96*10^-3=x*3000
x=6.5*10^-7 C charge
second case
T= 4.00mN=4*10^-3 N
4*10^-3 -1.96*10^-3- x*3000=0
x=6.08*10^-7C

A discrete spectral line occurs at an angle of 9.1° in the first order spectrum. If the grating has 3,660 lines/cm, what is the wavelength of this color of light?

Answers

Answer:

your answer would be c !

Explanation:

What are properties of a wave

Answers

Answer:

amplitude, wavelength, frequency, and speed.

Explanation:

No matter whether you are talking about vibrations or waves, all of them can be characterized by the following four characteristics

find the fundamental unit of density.​

Answers

Answer:

The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centimetre. For example, the density of water is 1 gram per cubic centimetre, and Earth's density is 5.51 grams per cubic centimetre.

Explanation:

A 800hz tuning fork is vibrating, producing a sound wave in the air.

what is the frequency of the sound wave?

800 hz

what is the speed of the sound wave?


what is the wavelength of the sound wave?

Answers

Answer:

The frequency of the sound wave is 800Hz

The speed of sound in a is about 340m/s.

Velocity = frequency x wavelength

making wavelength the subject formula

wavelength = Velocity/frequency.

wavelength = 340/800

wavelength = 0.425m.

Which statement best describes air pressure at high altitudes?

Question 12 options:

Air pressure does not change as altitude increases


It is impossible to accurately measure air pressure at high altitudes


Air pressure decreases as altitude increases


Air pressure increases as altitudes increases

Answers

Answer:

Air pressure decreases as altitude increases.

Explanation:

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

sugar dissolves in water = solubility (solvent)

causes ice cubes to get bigger in the ice tray = expand upon freezing

warm water but cold water in the spring = heat capacity/specific heat

"film" on top of water = surface tension

stickiness of water = cohesion

Answer:

See below ~

Explanation:

sugar dissolves in water ⇒ solubility (solvent)

causes ice cubes to get bigger in the ice tray ⇒ expand upon freezing

warm air but cold water in the spring ⇒ heat capacity/specific heat

"film" on top of water ⇒ surface tension

stickiness of water ⇒ cohesion

What is the equivalent capacitance of the three capacitors in the figure (figure 1)?

Answers

The equivalent capacitance of the combination is  [tex]\dfrac{1}{C} = \dfrac{1}{C_1}+\dfrac{1}{C_2}[/tex]  where C1 and C2 are the capacitance of both capacitors in series.

What is equivalent capacitor?

Let the capacitance of both capacitors be C1 and C2. For a series connected capacitors, same charge flows through the capacitors but different voltage flows through them.

Let Q be the amount of charge in each capacitors,

V be the voltage across each capacitors

C be the capacitance of the capacitor.

Using the formula Q = CV where V = Q/C... (1)

For the large capacitor with capacitance of the capacitor C1,

[tex]Q = C_1V_1;[/tex]

[tex]V_1 = \dfrac{Q}{C_1}...(2)[/tex]

where [tex]V_1[/tex] is the voltage across [tex]C_1,[/tex]

For the small capacitor with capacitance of the capacitor [tex]C_2[/tex],

[tex]Q = C_2V_2[/tex];

[tex]V_2 = \dfrac{Q}{C_2} ... (3)[/tex]

where [tex]V_2[/tex] is the voltage across [tex]C_2[/tex],

Total voltage V in the circuit will be;

[tex]V = V_1+V_2... (4)[/tex]

Substituting equation 1, 2 and 3 in equation 4, we have;

[tex]\dfrac{Q}{C} = \dfrac{Q}{C_1} +\dfrac{ Q}{C_2}[/tex]

[tex]\dfrac{Q}{C} = Q({\dfrac{1}{C_1}+\dfrac{1}{C_2})[/tex]

Since change Q is the same for both capacitors since they are in series, they will cancel out to finally have;

[tex]\dfrac{1}{C} = ({\dfrac{1}{C_1}+\dfrac{1}{C_2})[/tex]

This gives the equivalent capacitance of the combination.

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PLEASE ANSWER AS SOON AS POSSIBLE
THANKS :)

Answers

Answer:

A is core

B is convection zone

C is photosphere

D is Chromosphere

Explanation:

-. A 2000 kilogram (kg) weather satellite is orbiting Earth. The satellite
takes pictures of Earth to help forecast weather. At what altitude,
in kilometers (km), would the strongest gravitational force be
acting on the satellite while it orbits Earth?
F. 10 000 km
G. 15 000 km
H. 30 000 km
I. 40 000 km

Answers

Answer:

H

Explanation:

I think it's H hope that helps

what is area expansivity

Answers

An increase in area of a solid when heated is called area or superficial expansivity.

What is the law of conservation of mass? A. the law that states that matter can be created but not destroyed. B. the law that states that matter cannot be created or destroyed. C. the law that states that matter can not be created but can be destroyed.

Answers

Answer:

The answer is B

Explanation:

hope it helps :)

I need help with my homework please?

Answers

Answer:

1c 2d 9e 6n 3j 9i

Explanation:

That is at least half i will let you Finish it

Answer:

1=e

2=g

3=h

4=f

5=j

6=b

Explanation:

.......

Create a cylinder with a height of 9 cm and a radius of 5 cm. Notice that the estimated volume calculation is 706. 9 cm3. Drag the orange dot to double the radius. What do you notice about the volume?.

Answers

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . Simplify.

Answer:

Its D , Its is four times larger

Explanation:

I really hope this helps :)

HCl, HBr and HI are all extremely corrosive acids. They are also all part of the same group the Halogens and completely separate when mixed with water. The only one in the group that doesn’t act as strong acid is HF. What make fluorine different from chlorine, bromine, and iodine?

Answers

Fluorine different from chlorine, bromine, and iodine,because it is the most electronegative and reactive element in the periodic table.

What is a periodic table ?

The periodic table is an organization of all known elements in order of increasing atomic number and repeating chemical characteristics.

They are organized in a tabular format, with a row representing an era and a column representing a group.

Elements are ordered in increasing atomic number order from left to right and top to bottom.

Elements of the same group will have the same valence electron configuration and, as a result, will have comparable chemical characteristics.

Elements in the same period, on the other hand, will have an increasing order of valence electrons. Fluorine,chlorine, bromine, and iodine are halogens.

Hence,fluorine different from chlorine, bromine, and iodine because it is the most electronegative and reactive element in the periodic table.

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Fluorine is most electronegative element and halogen in periodic table

The tendency of attraction towards electrons is highest for Fluorine.

In HF

There is a single bond between H and FThe electronegative nature of Fluorine makes the bond stronger and it's hard for H to get out of bond to give H+ Hence it's a very weak acid .

100 POINTS NEED ASAP
Determine the energy released per kilogram of fuel used.

Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of plutonium-239 to be a mole of “reactions” (molar mass = 239 grams).

Answers

The energy released per kilogram of fuel used is mathematically given as  

energy release per kg= 6.702*10^{-13}. This is further explained below.

What is the energy released per kilogram?

Generally, is simply defined as

Energy used per person per year in US = 3-5 X 10^11

Population (No. of person)= 3.1x 10^8

Mass of feut required = 3.5x10^11 x3-1x10 8 x 10 )/6.703 X10^{13} kg

Mass of feut required = 1.62x10^{33}kg

Solution: Mev in Joule 6 = 10 1.60* I0^{-19} J

1 Mev= 1.602 X 10 T

energy release per kg= 1.602*10^{13}/2.39x10^{-3}

energy release per kg= 6.702*10^{-13}

In conclusion, Energy

energy release per kg= 6.702*10^{-13}

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