A spring with a cart at its end vibrates at frequency 5.0Hz\;Hz .
A. Determine the period of vibration.
B. Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged.
C. Determine the frequency if the spring constant doubles while the cart's mass remains the same.

Answers

Answer 1

A. The period of vibration is the time it takes for one complete oscillation to occur. It is the reciprocal of the frequency. The period of vibration can be calculated using the formula:

Period = 1/Frequency

Given that the frequency of vibration is 5.0Hz, the period of vibration is:

Period = 1/5.0 s

Period = 0.2 s

B. If the cart's mass is doubled while the spring constant remains unchanged, the frequency of vibration will not change. This is because frequency is dependent on the spring constant and the mass of the cart and not on the amplitude of the oscillation.

C. If the spring constant doubles while the cart's mass remains the same, the frequency of vibration will also double. This is because frequency is directly proportional to the square root of the spring constant. Therefore, doubling the spring constant would lead to an increase in the frequency of vibration by a factor of square root of 2.

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Related Questions

Think of another topic in science that would lend itself to creating a word web. What is the main topic and list six subtopics you would include under it. You could use a whole subject area like chemistry or the desert. Pick a topic you know something about. Help me with this please

Answers

The study of computers and computing, encompassing the theoretical and algorithmic underpinnings, hardware and software, and applications for information processing, is known as computer science.

Uses and advantages:

The study of algorithms and data structures, computer and network design, the modelling of data and information processes, and artificial intelligence are all included in the field of computer science. Since mathematics and engineering provide some of the underpinnings for computer science, it integrates concepts from those fields as well as queueing theory, probability and statistics, and electrical circuit design. As new algorithms, information structures, and computer architectures are conceptualised, designed, measured, and improved in computer science, extensive use of hypothesis testing and experimentation is also used.

Computer science is regarded as one of five distinct but related fields, including computer engineering, information systems,  information technology, and software engineering. This family has come to be known collectively as the discipline of computing.

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उत्तोलक हुन् ?
Calculate the load arm and effort arm from the following figure if the lever is in
balanced condition. In which class of lever do spoon and scissor belong to.(Ans: 3m, 15 m)2+1

Answers

Answer:

The length of the load arm is 3 m

The length of the effort arm is 15 m

Spoons and scissors are class 1 levers

Explanation:

The data given in the force diagram of the lever (machine) are;

The length of the lever = 18 m = (Length of effort arm) + (Length of load arm)

The force applied at the effort = 100 N

The load lifted by the lever = 500 N

The mechanical advantage, MA is given as follows;

MA = Load/Effort = (Length of effort arm)/(Length of load arm)

∴ MA = 500 N/(100 N) = 5

Let 'x' represent the length of the effort arm, and let 'y', represent the length of the load arm, we have;

x + y = 18...(1) (given)

MA = 5 = x/y

∴ x = 5·y...(2)

Substituting the value of 'x' in equation (1) with x = 5·y gives;

x + y = 5·y + y = 6·y = 18

∴ y = 18/6 = 3

y = 3

The length of the load arm, y = 3 m

x = 5·y = 5 × 3 = 15

x = 15

The length of the effort arm, x = 15 m

When lifting food with a spoon, the fulcrum, which can be taken as the edge of the plate or the supporting finger, is in between bowl of the spoon and the point of application of the thumb towards the extremities of the spoon handle

Therefore a spoon is a class 1 lever

The pivot of a scissors is in between the item being cut (the load) and the holes where the finger applies an effort

Therefore, a scissors is a class 1 lever.

Throw a paper ball towards a hard wall.
a) Did the wall apply force on the ball? If yes, then what is the name of the force?
b) What are the effects of the force applied by the wall

please help..!
also if possible could you give the explanation too....??

Answers

The answer is d hope this helps

(ii) a large electroscope is made with "leaves" that are 78-cm-long wires with tiny 21-g spheres at the ends. When charged, nearly all the charge resides on the spheres. If the wires each make a 26° angle with the vertical (fig. 16–55), what total charge q must have been applied to the electroscope?

Answers

The electroscope must have received a total charge of 2.45 x q if the wires are each at a 26° angle with the vertical.

The electroscope is what?

An electroscope is a scientific tool which is used to find the existence of an electric charge on a body. The first electroscope with a pivoting needle, known as a versorium, was created by British physician William Gilbert in the year 1600.

What are the many varieties of electroscope?

An electroscope is a piece of equipment used in science to determine whether and how much electric charge is present on a body. There are three traditional electroscope types: the needle electroscope, the gold-leaf electroscope, and the pith-ball electroscope (third). For each of them, we have simulators available.

Briefing:

Equilibrium condition = mgsin∅ = 2.45 x [tex]10^{-6}[/tex]

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Justin throws a 10. 0-g ball straight

down from a height of 2. 0 m. The ball

strikes the floor at a speed of 7. 5m/s.

What was the initial speed of the ball?

Answers

The ball's initial speed as it descended straight down from a height was 17.5 miles per hour.

The starting velocity is the speed at time t = 0. (u). It is the speed at which motion first becomes apparent. Four equations can be used to calculate initial velocity: (1) If time, acceleration, and end velocity are known, the initial velocity can be calculated using the formula u = v - at.

Calculation:We can simply use the following equation of motion to solve this:

v² - u² = 2 × a × s

here, v = final velocity = 7.5 m/s

a = 9.81 m/s^2

s = 2.0 m

Solving for u (initial velocity) we get:

(7.5)² - u² = 2 × 9.8 × 2

56.25 - u² = 39.2

u² = 56.25 - 39.2

u² = 17.05

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A ____ exerted by an object on another is a force​

Answers

Answer:

A gravitational force exerted by an object on another is a force.

Explanation:

hope it helps

A gravitational force

How would increasing the pressure of this reaction affect the equilibrium? 3H2 + N2 + 2NH3​

Answers

Answer: (C) H2 and N2 would react to produce more Nh3

Explanation:

A p e x

An object has a density of 3.25 kg/m?. If it has a total volume of 12.65m?. What is the object's mass?

Answers

Answer:

The object's mass is 41.1125 kilograms.

Explanation:

We can use the general density equation to determine the mass.

Density Equation

[tex]p=\frac{m}{V}[/tex]

[tex]p[/tex] is the density

[tex]m[/tex] is the mass

[tex]V[/tex] is the volume

Lets solve for [tex]V[/tex].

Multiply both sides of the equation by [tex]V[/tex].

[tex]p*V=\frac{m}{V}*V[/tex]

Cancel out the common factor of [tex]V[/tex] on the right side.

[tex]pV=m\\m=pV[/tex]

Now we have an equation for mass.

We are given

[tex]p=3.25[/tex]

[tex]V=12.65[/tex]

Substituting our values into our equation gives us

[tex]m=3.25*12.65\\m=41.1125[/tex]

Notice the unit of the given density

[tex]kg/m[/tex]

Our answer will be in kilograms

What are the similarities and differences between static stretching and dynamic stretching?

Answers

The similarities and differences between static stretching and dynamic stretching are the dynamic stretch is a style of stretching that is more strenuous and physically stimulating, while the static stretch is a form of stretching that is slower and more relaxing.

Another difference between static and dynamic stretching is that after a dynamic stretch, you may feel stronger and have more muscle endurance and speed, whereas static stretching before an exercise diminishes these same qualities; To get the most out of your workout, perform dynamic stretching before you begin, and static stretching afterward. Static and dynamic stretching have similar benefits in lowering the risk of injury by increasing flexibility, balance, and body awareness.

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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever
would have been used with an effort arm of 12 meters and a load arm of 6 meters? (1 point)
O 100 J
0 72 J
O 50 J
O 600 J

Answers

Accounting for things like how many team members should be assigned to a task, how many resources are required, how many hours tasks will take and more.

Why is it necessary for the effort arm to be longer than the load arm?

When the effort arm is longer than the load arm, there is a significant mechanical advantage.The lever is made up of two “arms”: The load arm (also known as the output arm) is the portion of the lever that is directly attached to the load. The effort arm (or applied force arm) is the section of the lever to which the effort, or input force, is applied.

A= W P = 1 , Where W represents the load and P represents the effort. So, if we utilize one fixed pulley to raise the weight, the effort required will be 50 k g w t in one direction.

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Help me with these questions please asap

Answers

the answer for question 22 is C
im not 100% sure about the rest tho

Which of the following is an example of mechanical waves?
Microwaves
Sound waves
Light waves
Radio waves

Answers

Sound Waves will be an example of mechanical waves.. hope this helps!

A soccer ball is moving with a momentum of 5 kg m/s when a soccer player

kicks the ball back in the opposite direction. After the kick, the soccer ball

is moving with a momentum of 7 kg m/s. What is the impulse the soccer

player applied to the soccer ball?

Answers

The impulse applied to the soccer ball by the soccer player is the combined force and time of the kick applied to the ball.

What do you mean by Impulse?

Impulse is an instantaneous force applied to an object, resulting in a change in the object's momentum. It is a vector quantity, which means that it has both magnitude and direction. Impulse is the product of a force applied to an object for a certain period of time. It is calculated as the product of the average force applied multiplied by the time period over which the force is applied. For example, when a ball is hit with a bat, the force of the bat is applied to the ball for a certain amount of time, resulting in an impulse which causes the ball to move.

1. Calculate the change in momentum of the soccer ball:

Change in momentum = Final Momentum - Initial Momentum

                                      = 7 kg m/s - 5 kg m/s

                                      = 2 kg m/s

2. Calculate the impulse:

Impulse = Change in Momentum

             = 2 kg m/s

Therefore, the impulse applied by the soccer player to the soccer ball is 2 kg m/s.

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How does dynamic stretching help an individual prepare for an activity brainly?

Answers

Dynamic stretching helps to prepare the body for an activity by increasing:

body temperatureimproving range of motionactivating the muscles and nervous system for the activity. also helps to reduce the risk of injury by improving the body's ability to move through a full range of motion.improving coordination and balance.

What is dynamic stretching?

Dynamic stretching is a form of stretching that involves active, controlled movements such as swinging, bouncing, and twisting. The goal of dynamic stretching is to improve range of motion and flexibility while preparing the body for physical activity.

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A person weighing 500 N and a girl weighing 350 N are sitting on a board. The 50N- board is uniform and is supported at the center. The 500-N person is 1.5 m from the center, how far from the center should the girl sit so that the board is in equilibrium

Answers

The girl should sit 2.14 m from the center to keep the board in equilibrium.

What is equilibrium?

Equilibrium is a state in which the net force and net torque acting on an object are both equal to zero. This means that the object is either at rest or moving at a constant velocity. In other words, the object is not accelerating or rotating.

In order for the board to be in equilibrium, the sum of the forces acting on it must be equal to zero. Since the board is uniform and supported at the center, the only forces acting on it are the weights of the person and the girl.

To find the distance from the center that the girl should sit, we can set up the following equation:

F_net = 0 = (500 N)(1.5 m) - (350 N)(x)

where F_net is the net force acting on the board, x is the distance from the center where the girl is sitting, and the 1.5 m is the distance from the center where the person is sitting.

Solving this equation for x:

x = (500 N)(1.5 m) / 350 N = 2.14 m

Hence, the girl should sit 2.14 m from the center to keep the board in equilibrium.

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Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race

Answers

Said Aouita's average speed for the race was 12.089 m/s. To calculate this, we need to divide the total distance (3000 meters) by the total time (7 minutes and 29.45 seconds).

Converting the time to seconds, we get 449.45 seconds.

Therefore,

3000 / 449.45 = 12.089 m/s.

This is an impressive speed for a 3000 m race and it was a new world record at the time. Aouita was the first runner to break the eight minute barrier in the 3000 m, a feat he accomplished in 1987. His world record lasted for almost 3 years until it was broken by Moses Kiptanui in 1992. Aouita's world record is a testament to his incredible speed and endurance.

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Explain what effect greenhouse gasses have on climate. How do they have this effect?

Answers

Answer:

Greenhouse gases have far-ranging environmental and health effects. They cause climate change by trapping heat, and they also contribute to respiratory disease from smog and air pollution. Extreme weather, food supply disruptions, and increased wildfires are other effects of climate change caused by greenhouse gases.

Explanation:

:) YW

Answer:

according to scientists greenhouse gasses, include co2 which can heat up the climate. cars and factorys creat co2 admission which cause global warming

Why is dynamic stretching recommended before activity?

Answers

Dynamic stretching is recommended before activity because it helps to prepare the muscles for the upcoming activity.

It increases range of motion, flexibility, and muscular coordination, and also helps to increase blood flow to the muscles. This helps to improve the performance of the muscles and reduce the risk of injury. Additionally, dynamic stretching helps to improve the overall physical conditioning of an individual, which is beneficial for any type of physical activity.

Dynamic stretching is typically recommended for individuals preparing for physical activity. Dynamic stretching involves movements that gradually increase in range of motion and muscle length, such as arm swings, leg swings, and torso twists.

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which is an example of interdependence between species?
A. Sea turtles lay their eggs in the sand
B. Animals eat seeds, then those seeds are spread by animals
C. Trees make carbohydrates from solar energy
D. Polar bears eat seals on ice floes

Answers

answer:
B. Animals eat seeds, then those seeds are spread by animals

step-by-step explanation:
interdependence is the dependence of two or more living things on each other

Animals eat seeds, then those seeds are spread by animals.

In interdependence if the population of an organism rises and falls, then they can affect the rest of the ecosystem.Here plants are dependent on animals for depression of seeds and animals are dependent on plants for food

What is interdependence?Interdependence means dependence of living beings on each other for their survival.All organisms from tiny microbes to huge predators, depend upon each other to obtain energy and other basic resources.

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A student heats 3.55 g of copper and 4.60 g of iodine for 6.25 g of a new compound. All of the iodine reacted, but there is some copper left over unused. How much copper is left?

Answers

The mass of copper that is left unreacted at the end of the chemical reaction is 1.90 g

What mass of copper is left unreacted at the end of the reaction?

The mass of copper that is left untreated at the end of the chemical reaction is determined as follows:

Mass of copper before the reaction = 3.55 g

Mass of iodine before the reaction = 4.60 g

Mass of product = 6.25 g

According to the law of conservation of mass;

Mass of reactant = mass of product + mass of unreacted copper

Mass of reactants = 3.55 + 4.60

Mass of reactants = 8.15 g

The difference in the mass of the product obtained and the mass of the unreacted copper

Mass of unreacted copper = 8.15 g - 6.25 g

Mass of unreacted copper = 1.90 g

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G Two tiny particles having charges +20. 0 μC and -8. 00 μC are separated by a distance of 20. 0 cm. What are the magnitude and direction of electric field midway between these two charges? (k = 1/4πε0 = 9. 0 × 109 N ∙ m2/C2)(calculate separately electric field due to each charge at that point, next taking into account direction of each field find net electric field)

Answers

The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.

The magnitude of the electric field due to the positive charge at the midpoint is:

E = k * q / r^2

E = (9.0 x 10^9 N * m^2/C^2) * (20.0 x 10^-6 C) / (0.20 m)

E = 4.5 x 10^9 N/C

The magnitude of the electric field due to the negative charge at the midpoint is:

E = k * q / r^2

E = (9.0 x 10^9 N * m^2/C^2) * (-8.00 x 10^-6 C) / (0.20 m)

E = -1.8 x 10^9 N/C

The direction of the electric field due to the positive charge is away from the charge, and the direction of the electric field due to the negative charge is towards the charge.

To find the net electric field, we add the vectors of the two electric fields. Since the vectors are in opposite directions, we subtract the negative vector from the positive vector.

E_net = E_positive + E_negative

E_net = (4.5 x 10^9 N/C) + (-1.8 x 10^9 N/C)

E_net = 2.7 x 10^9 N/C

The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.

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A man is standing on the shore of a beach, up to his knees in water. Every second two waves hit him. What is the frequency of the wave?

Answers

Answer:

f = 2 Hz

Explanation:

The frequency of a wave is defined as the no. of waves passing per unit of time. Therefore, the frequency of a wave can be calculated by the following formula:

[tex]f = \frac{n}{t}[/tex]

where,

f = frequency of the wave = ?

t = time passed = 1 s

n = no. of waves passing in time t = 2

Therefore,

[tex]f = \frac{2}{1\ s}[/tex]

f = 2 Hz

Describe what you could do to make the magnetic disk rotate faster

Answers

You could do to make the magnetic disk rotate faster: regular usage of a disc defragmentation program.

What is magnetic disk?

A magnetic disk is a storage device that writes, rewrites, and accesses data using the magnetization process. It has a magnetic layer that retains data as tracks, spots, and sectors.

You could do to make the magnetic disk rotate faster:

Plan regular usage of a disc defragmentation program.Try to keep at least 20% of your disc space free, if you can. Defragmentation is facilitated and fragmentation is reduced as a result. Utilize a program like Crystal DiskInfo to regularly check the condition of your drive.

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__________________________ are made of rock or metal, which often collide with Earth

Answers

Answer:

Planets are bodies of rock or gas that are named after ancient gods.

Asteroids and Meteoroids are made of rock or metal, which often collide with Earth.

The terrestrial planets are more like the Earth.

The Juno spacecraft is exploring the planet Jupiter.

Explanation:

The planets and other stars in our solar system were similarly baptized. The planets were named after ancient gods. Other stars were baptized with names chosen by scientists or according to their peculiarity. Most of the planets were baptized by ancient Chinese astronomers, and later, by Babylonians. But over time different civilizations changed the names of the planets.

An asteroid is a smaller body in the solar system, usually on the order of just a few hundred kilometers. Meteoroids, in turn, are fragments of rocks that form from comets and asteroids. The luminous effect is produced when fragments of celestial bodies ignite in contact with the Earth's atmosphere due to friction. Both asteroids and meteoroids are made of rock or metal, which often collide with Earth.

The terrestrial planets are the most similar to the earth. These planets are those formed mainly by rocks and metals, have a solid surface without the incidence of rings, as is the case with Mercury, Venus and Mars.

The Juno spacecraft is exploring the planet Jupiter. This probe has already given us several unprecedented discoveries about the largest gas giant in the Solar System, in addition to sending us sensational images showing the complex and beautiful atmosphere of the planet.

asteroids is your answer hun

A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?

Answers

A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.

What is a free-body diagram?

In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.

Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.

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Calculate the wavelength, in meters, of electromagnetic radiation needed to remove an electron from the valence shell of an atom of the element.

Answers

The wavelength of the electromagnetic radiation needed to remove an electron from the valence shell of an atom of the element is 2.7522m.

The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR). It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all components of the electromagnetic spectrum.

We are given that,

Speed of light = c = 299 792 458 m

The frequency of  electron = f = 1.09 × 10⁸ s⁻¹

The following equation can be used to determine the wavelength of a radio wave

Wavelength = λ = c/f

λ = c/f

λ =  299 792 458 m/s/ 1.09 × 10⁸ s⁻¹

λ = 2.7522m

Therefore the wavelength of the electromagnetic radiation would be 2.7522m.

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According to table 1, which of the following materials is the poorest electrical conductor?
(A) Copper
(B) Aluminum
(C) Graphite
(D) Brass

Answers

Graphite: according to table 1, which of the following materials is the poorest electrical conductor.

What is conductor?

Conductor is an electrical device or material that is capable of allowing electric current to flow through it. It is used in a variety of applications ranging from wiring in buildings to the transmission of electricity over large distances.

Conductors are typically made from metals, such as copper and aluminum, but certain types of materials, such as semiconductors, can also act as conductors.

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An object falling from 50m will have
potential than an object falling from 30m
:Equal
:Lower
:Greater
:Less

Answers

Answer:

Greater

Explanation:

Distance (height) and mass determine the amount of Potential energy in an object.

If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1,470 m/s, what is the wavelength of the soun

Answers

According to the equation wavelength = speed/frequency, the dolphin's sound has a 42 m wavelength.

What does wavelength mean?

The distance between two identification based (consecutive crests) in adjoining cycles of a waveform signal as it travels across space or along wire is known as its wavelength. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimeters (mm). The numbers of times per second that a sound waves wave repeats is its frequency, which is often referred to as its pitch.

Given data -

speed = 1,470 m/s

frequency = 35 Hz

wavelength = speed / frequency

wavelength = 1,470 / 35

wavelength = 42 m.

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What is the wave speed of a wave traveling with a frequency of 37 Hz and 2 points
a wavelength of 6 m? (Remember your units!)

Answers

Answer:

222m/s

Explanation:

The speed of a wave is calculated using the forumula:

v = fλ

Lets substitute in our values:

v = 37 × 6

Which is equal to

v = 222m/s

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