The maximum displacement of an oscillatory motion is A=0.49m. Determine the position x at which the kinetic energy of the particle is half it's elastic potential energy

Answers

Answer 1

Answer:

The position x, is ± 0.4 m.

Explanation:

The total mechanical energy of the oscillatory motion is given as;

[tex]E_T = U +K.E\\\\E_T = \frac{1}{2} kA^2\\\\ \frac{1}{2} kA^2 = U +K.E\\\\K.E = \frac{1}{2} kA^2 - U ----equation(1)[/tex]

When the kinetic energy (E) is half of the elastic potential energy (U);

[tex]K.E = \frac{U}{2} ----equation(2)[/tex]

Equate (1) and (2)

[tex]\frac{U}{2} = \frac{1}{2} kA^2 - U\\\\U = kA^2 -2U\\\\U+2U = kA^2\\\\3 U = kA^2\\\\3(\frac{1}{2} kx^2) = kA^2\\\\\frac{3}{2} x^2=A^2\\\\x^2 = \frac{2}{3} A^2\\\\x = \sqrt{\frac{2}{3} A^2} \\\\x = A\sqrt{\frac{2}{3} } \\\\x = 0.49\sqrt{\frac{2}{3} }\\\\x = + /- (0.4 \ m)[/tex]

Thus, the position x, is ± 0.4 m.


Related Questions

Positive and negative charger objects affect which type of field?

• gravitational
• electric
• magnetic

Answers

Answer:-

Electric force

The interaction between two like-charged objects is repulsive. ... Positively charged objects and neutral objects attract each other; and negatively charged objects and neutral objects attract each other.

Explanation:

Hope it is helpful...

What units are used to measure mass?

Answers

Answer:

I think kilogram.

Explanation:

If you refer to science book you can find.

Why do electrons move from the negative end of the tube to the
positive end?

Answers

Because electrons are negatively charged, and so are attracted to the positive end of a battery and repelled by the negative end. So when the battery is hooked up to something that lets the electrons flow through it, they flow from negative to positive.

Why do electrons stay around the nucleus of an atom?

Answers

Answer:

the nucleus of the atom is positively charged and the electrons are negatively charged, they are attracted to each other...

Answer:

There are 2 different types of neutrons. Negative and positive. They are both fighting over the atom. The atom doesn't know who to pick! The happy one? Or the emo one? They are both staying close because they don't want to lose this fight.  (Actual answer below)

Explanation:

When there are too many protons, some of the outer protons are loosely bound and more free to react with the electron. But most atoms do not have too many protons, so there is nothing for the electron to interact with. As a result, each electron in a stable atom remains in its spread-out wavefunction shape.

What was the first major action Roosevelt took AFTER he was inaugurated (sworn in as president)

He pardoned Hoover for war crimes against the Bonus Army
He proposed a reorganization of the Supreme Court
He closed all of the nation’s banks and ordered inspections
He established the Civil Works Administration to provide job relief

Answers

Answer:

the second one i guess????

Explanation:

Answer:

He closed all of the nation’s banks and ordered inspections

Explanation:

What causes seasons to occur?



A) The revolution of the moon around the earth

B) The rotation of the moon around the Earth

C) The Earths tilt on its axis.

D) The moons tilt on its axis.

Answers

It’s C I hope it helps you

Answer:

C

Explanation:

I believe that it's C

PLEASE HELP Due Soon!
When the motion energy of an object changes, energy is being transferred. How do you know that's true?​

Answers

Answer:

Explanation:  

When objects collide, energy can be transferred from one object to another, thereby changing their motion. In such collisions, some energy is typically also transferred to the surrounding air; as a result, the air gets heated and sound is produced.

HELP PLEASE WHOEVER ANSWERS CORRECT ILL MARK BRAINLIEST!
Which statement best describes codominance and incomplete dominance?


A. In codominance and incomplete dominance, both of the alleles are dominant.

B. In codominance and incomplete dominance, neither of the alleles are dominant.

C. In codominance, both of the alleles are dominant; in incomplete dominance, neither of the alleles is dominant.

D.In codominance, neither of the alleles is dominant; in incomplete dominance, both of the alleles are dominant.

Answers

Answer:

no it is not C they are tying to get point the answer is, B: In codominance and incomplete dominance, neither of the alleles are dominant

Answer:

the answer is B

Explanation:

WILL MARK BRAINLIEST PLEASE HELP AND SHOW ALL WORK
Consider the system shown in FIGURE 9-35. Assume that after the string breaks the ball falls through the liquid with constant speed. If the mass of the bucket and the liquid is 1.20 kg, and the mass of the ball is 0.150 kg, what is the reading on the scale (a) Before (b) After the string breaks?

Answers

Answer:

Same reading.

Explanation:

Assume that after the string breaks the ball falls through the liquid with constant speed. If the mass of the bucket and the liquid is 1.20 kg, and the mass of the ball is 0.150 kg,

A.) Before the string break, the total weight = weight of the can + weight of the water.

According to Archimedes' Principle which state that: “A body immersed in a liquid loses weight by an amount equal to the weight of the liquid displaced.” Archimedes principle also states that: “When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it

B.) After the string break.

The scale will have the same reading as before the string break.

An airplane flies for 1.25 hours with a constant speed of 1080 km/hr and then for another 2.5 hours with a constant speed of 984 km/hr. How far (what distance) did it go?

Answers

Answer:

The airplane went 3810 km

Explanation:

The Distance at Constant Speed

The speed is defined as the rate of change of the distance:

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

The distance is calculated by solving for d:

d = vt

The airplane first flies at v=1080 Km/h for t=1.25 hours. The first distance is:

d1 = 1080 Km/h * 1.25 h = 1350 Km

Then it flies at v=984 Km/h for t=2.5 hours. The second distance is:

d2 = 984 Km/h * 2.5 h = 2460 Km

The total distance was 1350 + 2460 = 3810 km.

The airplane went 3810 km

in a well water is filled up to the height of 6 meters.calculate the pressure given by the water at the bottom of the well

Answers

Answer:

The pressure given by the water at the bottom is 58,800 Pa

Explanation:

Pressure Exerted by a Column of Liquid

The pressure P exerted by a column of liquid of height h and density ρ is given by the hydrostatic pressure equation:

P = ρgh

Where ρ is the density of the liquid, g is the acceleration of gravity g=9.8m/s^2, and h is the height of the column of liquid.

The height of water in a well is h=6 m. The density of water is a known quantity:

[tex]\rho = 1,000\ kg/m^3[/tex]

Calculating P:

P = 1,000*9.8*6

P = 58,800 Pa

The pressure given by the water at the bottom is 58,800 Pa

As the distance between two objects decreases, the pull of gravity

Question 4 options:

1) Is cancelled out


2) Increases


3) Decreases


4) Stays the same

Answers

Answer: increases

Explanation:

Because the relationship between hand d is counter

a person drops a 2.00 kg ball off a building. what is the force of weight on the ball?

Answers

Explanation:

Given

mass (m) = 2 kg

acceleration due to gravity (g) = 10 m/s²

Force (F) = ?

We know

F = m * a

= 2 * 10

= 20 N

The force is 20 N.

Hope it will help :)❤

Answer:

The answer is 19.6

You welcome

What will happen to the force of friction when you increase the weight on the cart

Answers

I think the force of friction would increase

Which of these is an example of interference? A. two lasers pointing away from each other В. two different light waves colliding and adding together C. a light wave bending around the corner of an obstacle D. a light wave bouncing off of a flat surface​

Answers

Answer:

I believe the answer is B. Although it might be C.

Explanation:

I hope this helps!

(ii) Explain how sound energy is transferred through the wall without transferring matter​

Answers

Answer:

In much the same way, a mechanical wave can carry energy through a medium without moving matter through the medium. ... Because the particles in a solid are tightly packed together, sound waves can quickly transfer energy from particle to particle in a solid.

basic nature of friction
gravitational
electromagnetic
nuclear
none of these

Answers

Answer:

what is the question?????????????????????

Please help me!!
Please answer correctly...

Will give the brainliest!​

Answers

they repeated it 5 times because they wanted to see if the answer they got was correct. by doing that they are checking if each time it’s the same

When it is winter in the northern hemisphere we are receiving?

A) No sunlight
B) A moderate amount of sunlight
C) Direct sunlight
D) Indirect sunlight

Answers

Answer:

indirect sunlight

Explanation:

we're receiving some sunlight, but not much, if it's winter in one place, it's summer in another

Answer:

indirest sunlight

Explanation:

if there was no sunlight we would die.

please help!! zoom in to read better should i put it in the middle or the far left? i also need to know why?

Answers

Answer:

They should place the fulcrum to the right ( just before reaching the load ), and they should push the furthest end on the left in order to provide equilibrium.

A block moves along a table at a constant velocity and then rolls off the edge of the table. The forces that should be included in a free body diagram for the ball as it falls to the ground are:
normal force from table
friction force from table
gravity
force of fall

Answers

Answer:

Gravity

Explanation:

When the ball is falling to the ground, there is only one force- gravity. In some cases, there may be air resistance, but that seems to be neglected here.

Normal force:

Cannot be included. Normal force is only applicable when object is on a surface, and it acts perpendicular to the surface. Since the ball is falling, there is no surface, and therefore no normal force. This question gives you unnecessary information, designed to trick you. Please remember when normal force is applicable.

Friction force:

Also only applicable when object is moving, and is on the table. Friction only applies when there is an applied force. There is no applied force when the ball is falling, so therefore no friction force.

Force of fall:

First of all, what is this? There is nothing called force of fall.

Gravity:

This is the only one that applies. Just draw a vector arrow from the bottom of the ball and label it mg (acceleration due to gravity).


A planet has two moons, Moon A and Moon B, that orbit at different distances from the planet's center, as shown. Astronomerscollect data regarding the planet, the two moons, and their obits. The astronomers are able to estimate the planet's radius and
mass.
The masses of the two moons are determined to be 2M for Moon A and M for Moon B. It is observed that the distance
between Moon B and the planet is two times that of the distance between Moon A and the planet. How does force exerted from
the planet on Moon A compare to the force exerted from the planet on Moon B?




READ CAREFULLY PLEASE


A) The gravitational force exerted from the planet on Moon A is two times larger than the gravitational force exerted from the planet on Moon B

B) The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B

C) The gravitational force exerted from the planet on Moon A is two times smaller than the gravitational force exerted from the planet on Moon B

D) The gravitational force exerted from the planet on Moon A is eight times smaller than the gravitational force exerted from the planet on Moon B

Answers

C: The gravitational force exerted from the planet on Moon A is two times smaller than the gravitational force exerted from the planet on Moon B.

B) The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B

A 10 kg ball is rolled to the top of a hill 37 m high using 4000 J of work. How much energy was lost due to heat?

Answers

Answer:

370.3J

Explanation:

A 10 kg ball is rolled to the top of a hill 37 m high using 4000 J of work. How much energy was lost due to heat?

Step one:

given data

mass m= 10kg

height of the hill= 37m

work done= 4000J

Step two:

The quantity of energy loss due to heat is the same as the difference in the  potential energy possed by the mass and the work done

PE= mgh

PE=10*9.81*37

PE= 3629.7J

Hence the energy loss is

= 4000-3629.7

=370.3J

What is the net force acting on a box that is being pulled to the right with a 50 N force and to the left with a 10 N force? _________ to the _______

Answers

Explanation:

A box that is pulled by 2 forces:

50N to the right and10N to the left.

50N - 10N = 40N.

Since the force acting towards the right is stronger, there is a net force of 40N to the right and the box will move towards the right (if it has low static friction coefficient)

The answer is 40N to the right.

We have that for the Question "What is the net force acting on a box that is being pulled to the right with a 50 N force and to the left with a 10 N force? _________ to the _______" it can be said that The appropriate statement is

The net Force is 40N to the right

From the question we are told

What is the net force acting on a box that is being pulled to the right with a 50 N force and to the left with a 10 N force? _________ to the _______

Generally the equation for the Net force  is mathematically given as

Fn=F_2-F_1

Therefore

Fn=F_2-F_1

Fn=50-10

Fn=40N

Therefore

The appropriate statement is

The net Force is 40N to the right

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Willing to give out brainliest... A vat of ethyl alcohol expands by 0.00823 m^ 3 when the temperature is raised by 44.8 °C . What was the original volume of the alcohol ?

Answers

Answer: 0.164

Explanation:

the coefficient for ethyl alcohol b is 1120x10^-6

so (0.00823)/ (1120x10^-6)(44.8) gives you your answer: 0.164

What is a good question to ponder/Think about ?

Answers

Explanation:

how to alweays win amoung us_

Which change would reverse the direction of the electric current generated through electromagnetic induction?

moving the magnet slower
using more loops of wire in the solenoid
using the opposite pole of the magnet
using a weaker magnet

Answers

Using the opposite pole of the magnet would reverse the direction of the electric current generated through electromagnetic induction.

What takes place while the current is reversed in an electromagnet?

Whilst you opposite the path of the contemporary flowing within the cord, the north and south poles also are reversed. When you reverse the contemporary once more, the north and south poles reverse again. In fact, on every occasion the modern is reversed, the north and south poles will trade places.

Which alternate will reverse the route of the electric modern-day generated thru electromagnetic induction?

A magnet and a coil of wire can be used to provide an electric-powered modern-day. A voltage is produced while a magnet moves into a coil of cord. This procedure is known as electromagnetic induction. The direction of the caused voltage is reversed while the magnet is moved out of the coil once more.

Learn more about electromagnetic induction here https://brainly.com/question/26334813

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Answer:

100% C

Explanation:

how to draw angle of 135 degree​

Answers

my photo shows a 135 degree angle

A wire of resistance 27 ohm is folded 3 times find its new resistance

Answers

Answer:

New resistance = 243 ohm

Explanation:

Given:

Current resistance = 27 ohm

Computation:

The wire is extended to three times its initial size, and its cross-section is therefore shortened to one-third of how it used to be. We found the current resistance to be 3x3= 9 times 

So,

New resistance = 27 x 9

New resistance = 243 ohm

PLZ HELP!! FOE A TEST

23. Quantities that can be described completely by their magnitude or size are called vector quantities. (5 points)
True
False

Answers

Answer:

False

Explanation:

Vector has a magnitude and direction.

A scalar is just a magnitude or size.

The answer is false.

What is scalar and vector quantities?

Scalar quantity:

The scalar quantity will have only the magnitude ( how much or size).These scalar quantity are one dimensional. These can be represented only by calculating the changes in the magnitude. If we need to change the value of scalar we are not able to change because it has no directions to determine the values of the quantity.If we have to perform any kind of mathematical operation, i.e., scalar with scalar we get scalar but when we did the mathematical operation with the scalar and vector then we get the answer is in the vector. some of the scalar quantities are as follows:  

        Speed, Mass, length, distance, power, energy, work.

Vector quantity:

The vector quantity will have both magnitude and direction.The vector quantities are one dimensional, 2 dimensional, else can also be 3 dimensional.Vector quantities can be changed or determined both by the magnitude and direction. If we change the adjacent angles then there changes will occur in the direction.We can perform any kind of mathematical operation.Some of the vector quantities are:                                                                                                    Displacement, velocity, acceleration, force, weight, friction, momentum.

Hence, Option B is the correct answer.

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