4. A 55.0 g object connected to a spring with a force constant of 35.0 N/m oscillates on a horizontal, frictionless surface with an amplitude of 8.00 cm. a) Find the total energy of the system. 112 mJ b) Find the speed of the object when the position is 1.20 cm.

Answers

Answer 1

According to the given data the total energy (E) of the system is 11.2 m J.

What is an illustration of oscillation?

A periodic movement between two sites is what is referred to as oscillation in this type of behavior. Examples of oscillating motion include plucking a guitar string, pendulum swinging, and pogo stick bouncing. The major distinction between oscillation, vibration, and simple harmonic motion is that oscillation is a general term for any repeating fluctuation about a central value, whereas vibration is a term used especially to describe mechanical oscillations.

Energy is given by-

E= 1/2KA²

E = 1/2 ×N/m× (8×10∧-2 m)²

​E = 11.2 m J

Speed of the object-

v = ω[tex]\sqrt{A2-x2}[/tex]

v = [tex]\sqrt{K/m}[/tex]    [tex]\sqrt{A2 - x2}[/tex]

v = [tex]\sqrt{35/55*10-3}[/tex] ×( (8×10-2)∧-2 - (1.20 × 10-2)∧2 )[tex]^{-1/2}[/tex]

v = 25.22 × 0.079

v = 2 m/s.

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Related Questions

How do you find the acceleration of a marble down a ramp?

Answers

The marble accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

Rolling motion of any object occurs when the marble starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the marble is acting in the smaller form.

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Consider the following reaction

2Mg(s) + 02 (9) 2Mgo (s)

If 21. 2 kcals of energy is released by this reaction, how many kJ

of energy does the reaction release? (1 cal = 4. 184 J) (Round off

decimal to nearest tenths)

Answers

In the given reaction, 2Mg(s) + O₂ (g) → 2MgO (s), 88.7 kJ of energy will be released.

The reaction 2Mg(s) + O₂ (g) → 2MgO (s) involves the release of energy from the system and hence it is an exothermic reaction. 21.2 kcals of energy is released from this reaction.

21.2 kcals = 21.2 × 10³ calories

1 cal = 4.184 J

For 21.2 × 10³ calories,

21.2 × 10³ cal × 4.184 = 88.70 × 10³ cal

To convert J to kJ, we divide it by 10³

88.70 × 10³ / 10³ = 88.70

Rounding off to nearest tenths, the amount of energy released by the given reaction in kJ = 88.7 kJ

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A closed pipe creates a
fundamental frequency of 125 Hz.
What is the next higher frequency
that will create a standing wave in
the pipe?
(Speed of sound = 343 m/s)
(Unit = Hz)

Answers

Answer:

375 hz

Explanation:

Trust me

A proton accelerates from rest in a uniform electric field of 660 N/C. At one later moment, its speed is 1.10 Mm/s (nonrelativistic because v is much less than the speed of light). (a) Find the acceleration of the proton. .81 Incorrect: Your answer is incorrect. m/s2 (b) Over what time interval does the proton reach this speed

Answers

Q is the charge's magnitude, V is its velocity, X is the angle formed by the magnetic field's direction and the charge's motion, and B is the strength of the magnetic field.

We must divide this amount by the mass of the charged particle or particles in order to determine the acceleration. Its speed at a later time is 1. 20 Mm/s (non relativistic because v is much less than the speed of light). When a refractive index diminishes over time, light shifts its frequency, which is referred to as photon acceleration [13,14]. Similar to charged particle acceleration, a rise in group velocity is accompanied by an increase in photon energy, or frequency.

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they were pleased by the news.(active voice)​

Answers

Answer:

They were pleased by the news. (passive voice)

The news pleased them. (active voice)

How much energy is needed to perform 300 J of work?

Answers

I think this is the answer hope it helps

I would like to know how to find the distance my fake planet is to its sun and the orbital length in measurement using the information I have gathered so far about my made up DnD planet I have searched a million things up and have gotten myself in a loop hole because in order to get X I need to know B and in order to know B I need to either know X or A and if I use the one using A then A needs X in order to find B to find X.

Heres the information:
Day Duration: 36 hours
Orbit Duration: 1.6 Earth years
Year Duration: 389.3... days
Gravity: 9.608 m/s²
Axial Precession: 15,000 years
Axial Tilt: 21.7 to 23.5
Axial Oscillate: 8333.3... years per 0.1 oscillate of 1.8 oscillation
Number of moons: 3
CLimate regions: much similar to earth Temperate regions are
the magority of the planet with tropical at the equator and
subtropical at the poles with seasons changing at the prevernal,
vernal, estival, serotinal, autumnal, and hibernal periods
Radius: 4578.2 (m)
Planet Mass: 3017387649322753000
Circumference: 28765.6789733

Answers

It is to be noted that based on the information provided, it is not possible to calculate the distance of the planet from its sun as we need more information about orbit and its eccentricity.

What is Space Orbit distance?

The distance of your fictional planet from its sun, and its orbital period, can be calculated using the information you've provided about its day duration, orbit duration, year duration, and radius.

The distance between a planet and its sun is known as an astronomical unit (AU). To calculate the distance in AU, you can use the formula: d = (T² * G * M_sun) / (4 * pπ²)

where T is the planet's orbital period in Earth years, G is the gravitational constant (6.67 x 10^-⁻¹¹ m³ kg^⁻¹ s^⁻²), M_sun is the mass of the sun (2 x 10^30 kg), and pi is the mathematical constant (3.14).To find the orbital period you need to know year duration in seconds and divide it by 365.25 for Earth-based standard.

With that you can calculate the distance of the planet from its sun. The calculation of axial precession, tilt and oscillation etc don't provide information about the distance from its sun or the orbital period, It helps us to understand the planet's rotation around it's axial and the behaviors of the planet's climate because of axial tilt, precession and oscillation

Also, radius, planet mass and circumference also don't provide any information about distance of the planet from its sun or the orbital period as well.

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The speed of light is approximately $3\times10^5$ kilometers per second. How long does it take sunlight to reach Jupiter

Answers

it takes about 26 seconds for speed of light with approximate speed of 3\times10^5  kilometers per second to reach Jupiter.

To calculate the time it takes light to reach Jupiter, we need to know the distance between the Sun and Jupiter. The average distance between the Sun and Jupiter is approximately 778 million kilometers. We can use the formula distance = speed x time to calculate the time it takes for sunlight to reach Jupiter. We know that the speed of light is approximately 3x10^5 kilometers per second and the distance between the Sun and Jupiter is 778 million kilometers.time = distance / speed

time = (77810^6 km) / (310^5 km/s)

time = 26 sec (approximately)

Therefore, it takes about 26 seconds for light to reach Jupiter.

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Evaluate the expression a+b when a=23 and b=45 . Write in simplest form

Answers

If a = 23 and b = 45

a + b = ?

23 + 45 = 68

Answer this please.____

Answers

Answer:

Explanation:

When a liquid is heated, the particles are given more energy. They start to move faster and further apart. At a certain temperature, the particles break free of one another and the liquid turns to gas. This is the boiling point.

calcula el potencial electrico de un punto B que se encuentra a 75cm de una varga positica q=9×10-6c​

Answers

Answer:

V = 72000 volts

Explanation:

calculates the electric potential of a point B that is 75cm from a positive charge q = 9 × 10-6c

Given that,

Electric charge, [tex]q=9\times 10^{-6}\ C[/tex]

We need to find the electric potential of a point B that is 75 cm from this charge. The formula for the electric potential is given by :

[tex]V=\dfrac{kq}{r}\\\\V=\dfrac{9\times 10^9\times 6\times 10^{-6}}{0.75}\\\\V=72000\ V[/tex]

So, the electric potential is equal to 72000 Volts.

A 9 cm tall object is placed 16 cm from a converging lens forming an image at 13 cm. What is the height of the image?

Answers

The way I actually did that it was just like a little bit of a panic attack and I was like literally dying laughing at my chrome book mark and I was like literally dying laughing at the park I was laughing so loud and I’m literally gonna laughing so I can’t do tell him what he says I don’t think I

By using moving _____magnetic fields_________ and _________________ wire together, electric ___________________ create electricity. Electric generators essentially convert _____________________energy (the energy of motion) into _____________ energy.

Answers

The words with a blank are , magnet, coiled copper, motor, mechanical and electrical. Electric generators produce electricity by combining a moving shaft with coiled wire.

How do magnetic fields work?

The magnetic field is the region where the strength of magnetism acts on a magnetic substance or a flowing electric charge. a magnetic field diagram that shows how the magnetic force is distributed both inside and outside of a magnetic substance.

Kinetic energy: What is it?

When an object is moving, it has kinetic energy. If we intend to accelerate an object, we must exert a force. The task has been finished, energy has been applied to the object, and it is now moving at a fixed constant pace.

Therefore, electric generators generate electricity by combining coiled wire and moving shaft magnetic fields. Kinetic energy, or the energy of motion, is effectively transformed into electrical energy via electric generators.

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A 74 kg student, starting from rest, slides down an 11.8 meter high water slide. What is his kinetic energy at the bottom of the slide

Answers

The kinetic energy of the student at the bottom of the slide with a velocity of 15.21 m/s is 8,557.36 J

The mass of the student = 74 kg

The distance of the slide = 11.8 m

The final velocity at the bottom of the slide can be found using

             v² = u² + 2ax

where v is the final velocity

          u is the initial velocity

          a is the acceleration due to gravity

          x is the distance

Let us substitute the known values,

            v² = 0 + 2 x 9.8 x 11.8

            v² = 231.28

                = √231.28

             v = 15.21

Therefore, the kinetic energy at the bottom of the slide is

         K.E = 1/2mv²

                = 1/2 x 74 x 231.28

                = 8,557.36 J

The kinetic energy of the student is 8,557.36 J

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Suppose you have a set of spheres of various sizes. The formula below shows a possible relationship between the surface area (S) and volume for the spheres (V).

Answers

The formula that shows the relationship between the surface area (S) and volume (V) for spheres is S = 4πr² and V = (4/3)πr³ where r is the radius of the sphere.

This formula shows that the surface area of a sphere is directly proportional to the radius squared, and the volume is directly proportional to the radius cubed. This means that as the radius of a sphere increases, the surface area and volume will increase at a much faster rate. For example, a sphere with a radius of 2 will have four times the surface area and eight times the volume of a sphere with a radius of 1.

The question is incomplete, hence the answer is general.

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helpppppp please!!!!!

Answers

Answer:

6

Explanation:

Answer:

6 m/s

Explanation:

Velocity = Distance/Time

              = 84 meters/14 seconds

              = 6 m/s

Hope this helps! :)

We are warmed by condensation because water molecules in the air that strike our bodies
A. form an insulating layer on our bodies
B. gain kinetic energy as they change state
C. transfer some of their kinetic energy to us

Answers

Condensation warms us because airborne water molecules that impact our bodies give up some of their kinetic energy to us.

What is kinetic energy?

Kinetic energy is the energy of motion. It is the energy that a moving item possesses.It is typically measured in joules and is equal to the work done to accelerate the object from its rest state to its current state. Kinetic energy can be found by multiplying the mass of an object by its velocity squared, divided by two. The kinetic energy of an object increases as its velocity increases.Kinetic energy exists in both linear and rotational forms. Linear kinetic energy is the energy of an object moving in a straight line, while rotational kinetic energy is the energy an object has due to its spinning or rotating motion.

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how much electrical energy is converted to light and thermal energy by a 160 w light bulb in one day

Answers

13824 x 10^3 J electrical energy is converted to light and thermal energy by a 160 w light bulb in one day

What is the best way to define thermal energy?

Thermal energy is the movement of the molecules within an object or substance. Every material has heat energy; the sun is the primary thermal energy source in our solar system. The transfer of thermal energy through one material or item to another is known as heat.

Given,

Power = P = 160 W

time = t = 1 day = 24 hours = 24 x 3600 sec = 86400 sec

energy = power x time = 160 x 86400 = 13824 x 10^3 J

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write the realtion between work and power​

Answers

Explanation:

Work is the energy needed to apply a force to move an object a particular distance, where force is parallel to the displacement. Power is the rate at which that work is done.

Explanation:

Some possible units for each

Work =F⋅d=N⋅m=J=kgm2s2

Power =F⋅dt=F⋅v=N⋅ms=W=Js=kgm2s3

The relation p=w/t

humans taste food mostly because of:

Answers

Answer:

taste buds

Explanation:

very sensitive microscopic hairs called microvilli. The tiny hairs send messages to the brain about how something tastes, so you know if it's sweet, sour, bitter, or salty

Which of the following is not a drawback of using coal for energy production?
A. Mountaintop mining
B. Mercury in fly ash
C. Mining explosions
D. Difficult transportation due to instability

Answers

The statement that is not provide a drawback of using coal energy for energy production is (D) difficult transportation due to instability.

What is disadvantage of using coal for energy production?

Coal is source of fossil energy created by dead plant drawn in swamp environments and subjected by geological pressure and forces of heat over hundreds of millions of years. The disadvantage using this source of energy are:

It use mountaintop mining that can contaminate water.It use combustion to create energy and the remaining after combusting has mercury that can fly in form of an ash. As to reminder, mercury can harm nerve when its being inhale.In the process of its mining, the coal commonly result an ash that can combust in the air. The accumulation can cause mining explosions.

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A 1kg rock is dropped 50m off a bridge. How much PE did it have

before it was dropped?

Answers

In this case, a body of mass 5 kg kept at a height of 10 m. So, the potential energy is given as 500 J.

Which energy has potential?

An object's potential energy is its stored energy. This energy has the capacity to be productive. An object's potential energy is provided by gravity. Gravity's downward force is the source of this potential energy.

The acceleration brought on by gravity is known as the gravitational constant, or g. On Earth, this acceleration is equivalent to 10 metres per second. PE = mgh is the equation for potential energy resulting from gravity. The object's potential energy declines and its kinetic energy rises as it approaches the ground.

Briefing:

Potential Energy = 5 x 10 x 10 = 500J.

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A teacher makes the following statement.

“Gasoline boils at a relatively low temperature (about 150°C). The kerosene is removed at around 200°C, followed by diesel oil at 300°C and fuel oil at around 370°C.”

What topic is the teacher most likely talking about?
distillation of a mixture
filtration of a pure substance
evaporation of a mixture
sorting of a pure substance

Answers

Answer: Distillation of mixture

Explanation: Different fractions of crude oil have different

boiling points according molecular weight of hydrocarbons

NOT evaporation of a mixture

How are static and passive stretching similar?

Answers

Static stretching and passive stretching are very similar in that they both involve moving the limbs into and holding the stretch posture.

Static stretching involves the individual holding their own limbs in place, while passive stretching involves a partner assisting with the movement and holding of limbs. When you stretch to your limit and hold that position, you are engaging in a form of stretching known as static stretching. Passive stretching, on the other hand, is also a form of static stretching; however, during this technique, you remain relaxed and do not actively participate in increasing your range of motion.

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You weigh 600 N.

What would you weigh if the Earth were

seven times as massive as it is and its radius

were three times its present value?

Answer in units of N.

Answers

Your weight would be 85.7N if the Earth were seven times as massive as it is and had a radius three times that of today since the gravitational pull is reduced by seven times with an increase in radius.

Gravitation is a fundamental interaction in physics that produces attraction between all objects with mass or energy. Of the four fundamental interactions, gravity is by far the weakest, being about ten times less than the strong interaction. A body's mass is a fundamental characteristic. Before the discovery of the atom and the field of particle physics, it was generally thought to be tied to the amount of matter in a physical body. x = 600N/7, x = 85.7N

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Suppose a radio message is sent home by astronauts in a spaceship approaching Mars at a distance of from Earth. How long (in minutes) will it take for the message to travel from the spaceship to Earth

Answers

A radio message is sent home by astronauts in a spaceship approaching Mars at a distance of from Earth.

A contact from Mars travels [between 3 and 22] minutes at light speed to reach Earth. Relativity contributes to the fact that the distance between Earth and Mars is 1.26 seconds longer.

A Mars year is roughly equivalent to two Earth years because of Mars' nearly two-fold longer orbital period than the Earth's. Earth and Mars are 57.6 million kilometers (35.8 million miles) from one another, while 401 million kilometers separate them at their farthest point (249 million mi).

The sole means of contact between Earth and Mars are radio and messenger. A courier will undoubtedly require a lot of time. We can determine how long it will take a radio message to travel between the two planets since radio waves travel at the speed of light (299,792 km/s; 186,282 mi/s). When the two planets are at their closest, the one-way voyage takes the fewest amount of time—3.2 minutes.

The time required for a one-way trip is 22.3 minutes when they are the furthest apart. A round-trip message will take between 6.4 and 44.6 minutes to send and receive. Of course, receiving an answer will take the same amount of time in each situation.

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8. Jax bounced a dodgeball off a wall. The dodgeball has a momentum of 32. 6 kg · m/s after the

collision. What is the total momentum of the system before the collision?

Answers

32. 6 kg m/s will be the total momentum of the system before the collision.

What does "collision" mean?

In physics, a collision is any circumstance in which two or more bodies rapidly apply forces to one another.

Despite the fact that the most common usage of the word "collision" relates to instances in which two or more objects smash violently, the scientific usage of the word makes no such assumptions.

If most or all of the total kinetic energy from the collision is lost (dissipated as heat, sound, etc., or absorbed by the objects themselves), the collision is said to be inelastic; such collisions result in the objects coming to a complete stop. A collision involving a car serves as an example of this type of collision since cars fold inward rather than colliding with one another.

Briefing:

pf = Final momentum of the system = 32.6 kg m/s

According to the principle of conservation of angular momentum we have

pi = pf => pi = 32.6 kg m/s

The wall is not moving so the initial and final momentum of the system are equal.

Therefore, the total momentum of the system before the collision is 32.6 kg m/s

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If the starting velocity was 0 m/s and the final velocity was -7.68 m/s, what is the average velocity of the rock?

Answers

Answer:

Average velocity = -3.84 m/s

Explanation:

Given the following data;

Initial velocity = 0 m/s

Final velocity = -7.68 m/s

To find the average velocity;

Average velocity = (U + V)/2

Average velocity = (0 + [-7.68])/2

Average velocity = -7.68/2

Average velocity = -3.84 m/s

Therefore, the average velocity of the rock is -3.84 meters per seconds.

Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of -3. 63 × 1016 N⋅m2/C at the planet's surface.


a) Calculate the total electric charge on the planet.

b) Calculate the magnitude of the electric field at the planet's surface (refer to the astronomical data inside the back cover).

c) Find the direction of the electric field at the planet's surface.

d) Calculate the charge density on Mars, assuming all the charge is uniformly distributed over the planet's surface

Answers

With a net electric flux of -3. 63 1016 N/m2/C at its surface, the planet Mars has an electric field that is somewhat similar to that of the earth. There will be 3.26 x [tex]10^{5}[/tex]  of electric charge throughout the entire earth.

Which best sums up Gauss's law?

The electric flux across any closed surface is proportional to the net electric charge q enclosed by the surface, according to Gauss's law of electricity, which reads as = q/0, where 0 is the electric permittivity of free space, which has a value of 8.854 10-12 square coulombs per newton per square meter.

How can the angle of a vector in an electric flux be determined?

E is the magnitude of the electric field (with units of V/m), S is the area of the surface, and is the angle between the electric field lines and the normal (perpendicular) to S. If the electric field is uniform, the electric flux (E) travelling through a surface of vector area S is: E = ES = EScos.

Calculation:

Ф = q/ε

⇒ 3.69 x [tex]10^{16}[/tex] x = q/ 8.85 x [tex]10^{-12}[/tex]

q = 3.26 x [tex]10^{5}[/tex]

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If an object takes 5 seconds to fall off a building, how high is the building?

Answers

Given that it takes 5 seconds to fall off the building:
distance fallen = 1/2 * 9.8 * 5^2 = 122.5 meter

Therefore the building is 122.5 meters high.
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