scallops use muscles to close their shells. opening the shell is another story--muscles can only pull, they can't push. instead of muscles, the shell is opened by a spring, a pad of a very elastic biological material called abductin. when the shell closes, the pad compresses; a restoring force then pushes the shell back open. the energy to open the shell comes from the elastic energy that was stored when the shell was closed. (figure 1) shows smoothed data for the restoring force of an abductin pad versus the compression. when the shell closes, the pad compresses by 0.15 mm. How much elastic potential energy is stored?

Answers

Answer 1

10J elastic potential energy is stored.

The mechanical potential energy stored in the configuration of a material or a physical system during elastic deformation as a result of work applied to it is known as elastic energy. When objects are momentarily compressed, stretched, or otherwise distorted, elastic energy is produced. Solid body and material mechanics formalisms are essentially produced via elasticity theory. Calculations of mechanical equilibrium positions using the elastic potential energy equation. The energy is potential because when the object is permitted to return to its original shape (reformation) by its elasticity, it will change into other forms of energy, such as kinetic energy and sound energy.

compression = expansion

force=2.5N

K= [tex]\frac{F}{x}[/tex]=[tex]\frac{2.5N}{0.2\times10^{-3} }=1.25\times10^4 N/m[/tex]

compression=0.15mm

Energy= [tex]\frac{1}{2}Kx^{2}[/tex]

Energy= [tex]\frac{1}{2}1.25\times 10^{-4}( 2.25\times10^{-10})J[/tex]

Energy=[tex]1.40625\times 10^{-4}\\[/tex]joules

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Related Questions

find the distance that the earth travels in three days in its path around the sun. assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. [note: the path of the earth around the sun is actually an ellipse with the sun at one focus (see section 11.2). this ellipse, however, has very small eccentricity, so it is nearly circular.] (round your answer to one decimal place.)

Answers

To find the distance that the Earth travels in three days in its path around the sun, we first need to find the circumference of the Earth's orbit. We can use the formula for the circumference of a circle, C = 2πr, where C is the circumference, π is approximately equal to 3.14, and r is the radius of the circle (93 million miles).

C = 2πr = 2 * 3.14 * 93 million miles = 584 million miles

Now that we know the circumference of the Earth's orbit, we can find the distance the Earth travels in three days by multiplying the circumference by the proportion of the orbit that the Earth travels in three days.

Three days is 3/365 of a year, so we can use the following formula:

Distance = (3/365) * C = (3/365) * 584 million miles = 40,931 miles

Therefore, the distance that the Earth travels in three days in its path around the sun is approximately 40,931 miles

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What goes up must come down"-if you throw a baseball in the air, it will go upwards and then descend in a _____ curve.

Answers

Answer:

it will come down in a parabola curve

if 34.5 g of copper reacts with 70.2 g of silver nitrate, according to the following reaction, what is the maximum number of grams of silver that can be produced?\

Answers

44.55g of silver can be produced by reacting 34.5 g of copper with 70.2 g of silver nitrate by following the chemical reaction in the given condition.

First, we balanced the equation

1Cu + 2AgNO3 → 1Cu(NO3)2 + Ag

Then, we find the moles of each reagent

molCu = 34.5g/(63.55*9/mol) = 0.543 mol

molAgNO3 = 70.2/(63.55*9/mol) = 0.423 mol

Now, we find the limiting reagent from the quantities of product that can be formed from each reagent

molAgNO3 = 0.543 molCu.2molAgNO3/1molCu= 1.086 mol

molCu = 0.413molAgNO3.1molCu/2molAgNo3 = 0.206mol

1,086 moles of AgNO3 is necessary for each mole of Cu since we have 0.413 moles of Ag(NO3), the nitrate is the limiting reagent

the value of the limiting reagent determines the amount of product that is generated

∴ 0,413 mol of Ag can be produced

Ag = 0.423mol.107.87*g/mol = 44.55 g = 44,55g

Ag≈ 44.6 g

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romeo (85.0 kg) entertains juliet (57.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from juliet, who is in the front of the boat. after the serenade, juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on romeo's cheek.

Answers

The 80 kg boat moves 0.694 meter towards the shore, if juliet moves towards the romeo.

The mass of the romeo, m₁ = 85 kg

The mass of the juliet, m₂ = 57 kg

The mass of the boat, m₃ = 80 kg

Distance between romeo and juliet, = 2.70 m

If we take the juliet's initial position as a reference point, X₁ = 0

Centre of mass of the boat, X₂ = 2.7/2 = 1.35 m

Distance of romeo from reference point, X₃ = 2.7

Combined centre of gravity of the whole system,

Xₐ = (85×2.7 + 57×0 + 80×1.35)/(85+57+80)

Xₐ = 1.52

After juliet moves romeo, new center of gravity

Xₙ = ((85+57)×2.7 + 80×1.35)/(85+57+80)

Xₙ = 2.214 m

The distance moved by the boat, d = 2.214 - 1.52

d = 0.694 m

--The given question is incomplete, the complete question is:

"romeo (85.0 kg) entertains juliet (57.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from juliet, who is in the front of the boat. after the serenade, juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on romeo's cheek. How far does the 80 kg bus move towards the shore it is facing?"

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the drawing shows a uniform electric field that points in the negative y direction; the magnitude of the field is 3230 n/c. determine the electric potential difference the following points.

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These locations, where the potential difference between Vab and Vcb is 0 and 258v, respectively, have a uniform electric field with a magnitude of 3230 n/c.

The potential difference, also referred to as voltage, is equal to the amount of current multiplied by the resistance. One Joule of energy is consumed by a charge when it moves between two points in a circuit at a potential difference of one Volt. respectively, have a uniform electric field with a magnitude of 3230 n/c. An electric field is a type of physical field that exists around electrically charged particles and which influences the behaviour of all other charged particles nearby (or E-field).

whereas Vcb = E/d = 3230*0.08 = 258v, Vba = E/d = 0

Vba = E/d = 0

Vcb = E/d = 3230*0.08 = 258v

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How do measured values of weather and climate differ?

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Measured values of weather and climate differ from one another because the weather is a short-term change in the atmosphere whereas climate is the environmental condition over a long period in a specific area.

How do measure values of weather and climate differ?

The part of weather and climate are those quantities or properties that are steady regularly. The six main elements are weather and climate: temperatures, atmospheric pressure, wind, humidity, drizzle, and cloudiness. Different land can have different climates.

Weather is called the day-to-day information of atmospheric changes in a specific area at a specific time. Climate is the statistical details on the average weather condition of a specific land for more than 30 years. 2. The weather of a place involves the short-term atmospheric condition.

So we can conclude that  The difference allying weather and climate is a measure of time.

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What is the ratio of the magnitude of the electric field at observation point D
to the magnitude of the electric field at observation point C?

Answers

The ratio of the magnitude of the electric field at observation point D

to the magnitude of the electric field at observation point C is 16 : 49.

What is electric field?

The electric field strength is the measure of the strength of an electric force  per a given unit charge.

E = ( kq ) / ( r² )

where;

k is coulomb's constantr is the distance of the chargeq is the magnitude of the charge

The position of point c from the center = 4

EC  = ( kq ) / ( 4² )

EC = ( kq ) / ( 16 )

The position of point D from the center = 7

ED =  ( kq ) / ( 7² )

ED = ( kq ) / ( 49 )

Ratio of electric field at point D to point C is calculated as;

= 16 / 49

= 16 :  49

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kim-lee founded a software development company at the age of 27. over time, he developed the company into a multibillion-dollar transnational organization. he is currently the chief technical officer of the company, holds 75 percent stock of the company, and makes major decisions regarding the products that would be made available to consumers. in the context of wright's model of the u.s. class structure, kim-lee belongs to the . group of answer choices capitalist class small-business class working class managerial class

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social mobility, movement of individuals, families, or groups through a system of social hierarchy or stratification.

what is the  transnational organization?

 Transnational organization is a term used in scholarly literature. It refers to international organizations (usually, international nongovernmental organizations) that "transcend" the idea of a nation-state.Transnational corporations are one of the most important subjects of international economics. They are directly affecting new trends in international business, global competitiveness on international markets as well as economies of states, nations.The primary advantage of a transnational business strategy is that it is less costly than a multi-domestic strategy, as it prioritizes global standardization and efficiency. Transnational businesses centralize as many resources as possible, therefore cutting costs.

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1000N and pa = 10 ^8 .then find area

Answers

Pressure in pa = (total force) x (area)

10⁸ pa = (1000 N) x (area)

Divide each side of the equation by 1000N.

10⁸ pa/1000N = area

area = 10⁵ square meters


A person measures his or her heart rate by counting the number of beats in 30 s. If 33 ± 1 beats are counted in 30.0 ± 0.5 s, what is
the uncertainty in the heart rate in beats per minute?

Answers

The uncertainty in the heart rate in beats per minute is 2 minute by using the rules for propagation of uncertainty.

How to calculate uncertainty in the heart rate in beats per minute?

To find the heart rate in beats per minute, we need to divide the number of beats by the time in minutes. So, we have (33 ± 1 beats) / (0.5 min). To find the uncertainty in the heart rate, we need to find the propagation of uncertainty for this division.

Using the rules for propagation of uncertainty, we have:

(heart rate) = (33 ± 1 beats) / (0.5 min)

(heart rate) = 66 ± (1/0.5) beats/min

(heart rate) = 66 ± 2 beats/min

So the uncertainty in the heart rate is 2 beats per minute.

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a small metal ball is given a negative charge, then brought near (i.e., within a few millimeters) to end a of the rod. what happens to end a of the rod when the ball approaches it closely this first time? select the expected behavior.

Answers

Weak attraction between the sphere and the rod is caused by end A of the rod inducing a positive charge (and correspondingly, end B acquires a negative induced charge).

This suggests that a charge may have moved from A to B. In an insulator, charge flow is restricted, hence the induced charges are frequently insignificant. because a pliable metal ball is charged negatively. Charged matter experiences a force when exposed to an electromagnetic field because of the physical nature of electric charge. Electrical charges can be positive or negative (commonly carried by protons and electrons respectively). Matter experiences a force when retained in an electromagnetic field due to the physical property of electric charge.

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men went to the moon by means of a shell shot from a large cannon sunk in the ground. part a what muzzle speed must the cannon have in order for the shell to reach the moon? express your answer to two significant digits and include the appropriate units. activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type vshell vshell

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The smallest speed at which a moving object, like a rocket, can fly outward into space and escape the gravitational field of a celestial body, such the earth.

How is escape velocity calculated?The smallest speed at which a moving object, like a rocket, can fly outward into space and escape the gravitational field of a celestial body, such the earth.Escape Earth's speed is 2 X 9.8 X 6.4 X 106 m/s or V = (gR) M/s is equal to 11200 M/s, or 11.2 km/s or 7 mph. Consequently, if an object is launched upward from the surface of the earth at a speed of 11.2 km/s, it will be able to escape, or move past the influence of the earth's gravitational field.Egress speed, When anything decelerates faster than gravity weakens, it never returns because gravity weakens more quickly than it does. With the speed of Earth's escape, the object will continue to move away from the planet forever.          

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a spring is stretched by 35 cm and attached to a 500 g air-track glider, which is then released. the spring does 0.30 j of work on the glider as it returns to its equilibrium length. What is the value of the spring constant?

Answers

The value of the spring constant for the spring stretched by 35 cm is   0.000244 J/cm.

To calculate the spring constant, the equation

Work = Force x Distance. The work of the spring (0.30 J) is known, as well as the distance the spring is stretched (35 cm). Therefore, the force is calculated by dividing the work by the distance is 0.0086 erg.

Force = - spring constant  x  Distance

The force is then divided by the distance the spring is stretched back to its equilibrium position (35 cm) to find the spring constant. The spring constant is the amount of force required to stretch the spring 1 cm. In this example, the spring constant is 0.000244 J/cm.

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suppose that you drive the 9.7 km from your university to home in 25.5 min. (note: average speed is distance traveled divided by time of travel.) your average speed in km/h is

Answers

The average speed of the travel from university to home is calculated to be 22.82 km/hr.

Average speed is known to be described as the total distance travelled by an object in particular time interval.

Given that,

Distance travelled = 9.7 km

Time taken for travel = 25.5 min

We know, 1 hour = 60 min

Converting minutes to hours, we have, 25.5/60 = 0.425 hr

The relation between distance, speed and time is known to be, distance = speed × time

Making speed as subject, we have,

Speed = Distance/time = 9.7/0.425 = 22.82 km/hr

The required average speed of the travel from university to home is calculated to be 22.82 km/hr.

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HELP PLS PLS
THANK YOU

Answers

According to Charle's law, the volume of the balloon in the freezer will be  35.30 cm³.

What is Charle's law?

Charles law is an experimental gas law which provides description about the behavior of gases which tend to expand on heating.It states that, at constant pressure, the temperature is in direct proportion with the volume that is,V∝T or V₁/T₁=V₂/T₂.The relation between volume and temperature is linear as the temperature increases volume also increases.

The graph of volume versus temperature is a straight line passing through the origin.Substitution in formula gives V₂= 40×263/298=35.30 cm³.

Thus, the volume of the balloon in the freezer will be  35.30 cm³.

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Identify the following ways in which a good psychologist views new and surprising conclusions of research studies.

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The ways in which a good psychologist views new and surprising conclusions of research studies are critical thinking and amiable skepticism.

A quality known as amiable scepticism combines openness to ideas and scientific findings with a wariness that arises when the concept is not supported by sound logic or evidence. You need to be a critical thinker if you want to be receptive to friendly scepticism.

The topic of critical thinking is complicated, and there are many multiple interpretations of what it means to analyse or evaluate verifiable facts in a reasonable, sceptical, and objective manner. The capacity to assess data and be conscious of prejudices or preconceptions, including your own, is referred to as critical thinking.

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with what tension must a rope with length 3.00 m and mass 0.100 kg be stretched for transverse waves of frequency 42.0 hz to have a wavelength of 0.710 m ? activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type t

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The equation of a transverse wave traveling on a rope is given by y=10sinπ(0. 01x−2. 000t) where y and x are in cm and t in seconds.

What is  transverse waves?

A transverse wave is a wave in which particles move perpendicular to the direction of the wave propagation.

A transverse wave is a type of progressive wave. The direction of propagation of a transverse wave is always perpendicular to its direction of vibration. Few specific types of transverse waves can travel through a vacuum. An electromagnetic wave or light wave is an example of a transverse.

Hence a transverse wave of this nature is called a shear wave. Since fluids cannot resist shear forces while at rest, propagation of transverse waves inside the bulk of fluids is not possible. In seismology, shear waves are also called secondary waves or S-waves.

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Question 4 (Mandatory) (1 point)
MS-PS1-2: Which is an example of a chemical reaction?

Answers

Examples of reactions could include burning sugar or steel wool, fat reacting with sodium hydroxide, and mixing zinc with hydrogen chloride.

Define chemical reaction?A chemical reaction is a process that transforms one set of chemical substances into another.A chemical reaction is a process that converts one or more substances, known as reactants, into one or more different substances, known as products.Chemical elements and compounds are both examples of substances.Chemical reactions involve the formation of new bonds between atoms in product particles and the breaking of chemical bonds between reactant molecules (particles). The number of atoms is the same before and after the chemical change, but the number of molecules is different.When chemical bonds between atoms form or break, chemical reactions occur.

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Vacillate the change in the. Kinetic energy KE of the bottle when the mass is increased use the formula KE=1/2 mv2 where m is the mass and v is the speed

Answers

When the mass is 0.125 kg, the kinetic energy is 1 J

When the mass is 0.250 kg, the kinetic energy is 2 J.

When the mass is 0.375 kg, the kinetic energy is 3 J.

When the mass is 0.500 kg, the kinetic energy is 4 J.

What is the kinetic energy of the bottle?

The kinetic energy of the bottle is the energy possessed by the bottle due to its mass and motion.

K.E = ¹/₂mv²

where;

m is the mass of the bottlev is the speed of the bottle

When the mass is 0.125 kg, the kinetic energy is calculated as;

K.E = ¹/₂ x 0.125 kg x ( 4 m/s )²

K.E = 1 J

When the mass is 0.250 kg, the kinetic energy is calculated as;

K.E = ¹/₂ x 0.25 kg x ( 4 m/s )²

K.E = 2 J

When the mass is 0.375 kg, the kinetic energy is calculated as;

K.E = ¹/₂ x 0.375 kg x ( 4 m/s )²

K.E = 3 J

When the mass is 0.500 kg, the kinetic energy is calculated as;

K.E = ¹/₂ x 0.5 kg x ( 4 m/s )²

K.E = 4 J

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for the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 2)

Answers

At point C along the horizontal axis, the net electric field is zero.

Electrically charged particles are surrounded by a physical phenomenon termed an electric field that either attracts or repels all other adjacent charged particles. The physical field surrounding a system of charged particles can also be referred to. Electric charges and time-varying electric currents make up electric fields.Both electric and magnetic fields are manifestations of the electromagnetic field, one of the four fundamental interactions (sometimes known as forces) of nature.

1.  In the region B along the horizontal axis , a point exists at which the net electric field is zero.

2. Nowhere in any region along the horizontal axis the net electric field is zero.

3.  In the region A along the horizontal axis , a point exists at which the net electric field is zero.

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Answer these questions please

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Atomic theory development, a new model of the atom was created in 1913 by Neils Bohr, a student of Rutherford's.

What progress has been made in the atom model?

According to John Dalton, atoms—which he pictured as little solid balls—are the smallest units of matter. The following concepts were part of Dalton's model: it is impossible to simplify an atom. Every element has the same number of atoms.Atomic theory development, A new model of the atom was created in 1913 by Neils Bohr, a student of Rutherford's. The orbits of the electrons surrounding the nucleus, according to his theory, are circular and concentric. The term "planetary model" refers to this model, which is based on the solar system.Atomic theory development, a new model of the atom was created in 1913 by Neils Bohr, a student of Rutherford's.          

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some of the following circuits violate kvl/kcl and/or basic definitions of two-terminal elements given in section 1.3. for each one of the circuits, determine if it is correct or ill-specified. if it is ill-specified, explain the problem and indicate what will happen if the incorrect circuit has been built up in your real life?

Answers

This circuit is ill-specified. It violates KCL, as there is no path for current to flow from the + terminal of the battery, through the resistor, and back to the battery's - terminal. The circuit will not work as expected if it has been built up in real life.

What is violates KCL?

Kirchhoff’s Current Law (KCL) states that the sum of all currents entering and leaving a node in an electrical circuit must be equal to zero. This means that the net current entering and leaving the node must be equal to zero. Violating KCL would occur when the sum of all the currents entering and leaving the node is not equal to zero, creating an imbalance in the circuit. This imbalance can lead to circuit malfunction, so it is important to ensure that KCL is not violated.

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A small fly of mass 0.30 g is caught in a spider's web. The web vibrates predominately with a frequency of 3.4 Hz.
-what is the value of the effective spring stiffness constant "k" for the web, in N/m?
-At what frequency would you expect the web to vibrate if an insect of mass 0.60g were trapped, in Hz?
I tried using the equation f=1/2pi*sqrt(k/m) but am not getting it right. Help greatly appreciated!!!!

Answers

The effective spring stiffness constant "k" for the web will be 0.139 N/m and frequency will be 2.83 Hz.

Frequency is defined as the rate of changes in current direction per second. It is given in hertz (Hz), an internationally recognised unit of measurement. One cycle per second is equal to one hertz. Cycles per second are represented by the unit hertz (Hz). A cycle is the technical term for a whole alternating current or voltage pulse.

(a) m = 0.30 g = 0.30 x 10^-3 kg

f = 3.4 Hz

Spring frequency can be calculated using the formula below

f = [tex]\frac{1}{2pi} \sqrt{\frac{k}{m} }[/tex]

so solving,

Where, k be the spring constant

k = 0.139 N/m

(b)

k = 0.139 N/m

Let the frequency be f.

f = [tex]\frac{1}{2pi} \sqrt{\frac{k}{m} }[/tex]

f = 2.83 Hz

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which of the following is an example of kinetic energy? view available hint(s)for part a which of the following is an example of kinetic energy? the energy held in bonds between atoms wind rotating a turbine a book on the top shelf of a closet a rock on top of a hill

Answers

A windmill turning An illustration of kinetic energy is the following.

What exactly is an energy in science?

The ability to "achieve work," or the capability to exert a force strong enough to move an item, is how energy is defined. Despite the ambiguity in the definition, the idea is actually pretty simple: electricity simply refers to the force that propels objects. The two different categories of energy are potential and kinetic.

Simple energy definition

The most basic definition of energy is the capacity for work. Energy causes things to move and change. It's everywhere and comes in a variety of shapes. Energy is needed while cooking food.

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The Ejection Seat at Lake Biwa Amusement Park in Japan is an inverse bungee system. A seat with passengers of total mass 160 kg is connected to elastic cables on the sides. The seat is pulled down 12.0 m stretching the cables launch the passengers upward above their starting position at the ground. Assume that the cables are vertical
Part A
Determine the spring constant of the cable

Answers

According to the problem the spring constant of the cable is 130 N/m.

What is spring?

Spring is a season of renewal and growth that occurs between winter and summer. It is the time of year when plants and animals come back to life and the days become longer and warmer.

The spring constant of the cable can be determined using Hooke's Law, which states that the force exerted by a spring is proportional to the displacement from equilibrium. In this case, the displacement is 12.0 m, so the spring constant is given by:

k = F/x = (160 kg * 9.8 m/s2)/(12.0 m)

= 130 N/m

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A proton is released from rest inside a region of constant, uniform electric field 1 pointing due north.

29.8 s after it is released, the electric field instantaneously changes to a constant, uniform electric field 2 pointing due south. 7.65 s after the field changes, the proton has returned to its starting point. What is the ratio of the magnitude of 2 to the magnitude of 1? You may neglect the effects of gravity on the proton

Answers

Answer:

The ratio of the magnitude of 2 to the magnitude of 1 is 1:1

Explanation:

The proton is released in an electric field pointing due north and, 29.8 seconds later, the field changes to a constant, uniform electric field pointing due south. 7.65 seconds after the field changes, the proton has returned to its starting point.

The proton was initially at rest and the electric field caused it to accelerate. The proton's acceleration is directly proportional to the electric field and inversely proportional to its mass.

The proton is acted on by two fields with opposite direction, which means that the net acceleration is zero. Therefore, the ratio of the magnitude of electric field 2 to the magnitude of electric field 1 is 1:1

The ratio of the magnitude of 2 to the magnitude of 1 is 1:1

using conservation of energy, derive an expression for the velocity of the cart when it is at the top of the neptune sphere in terms of r, r and physical constants as needed.

Answers

We can derive the required expression by using the conservation of energy law with the help of potential energy concept. The velocity will be v = √(2gh + 2Fdcos(θ)/m)

The conservation of energy can be used to derive an expression for the velocity of a cart when it is at the top of a Neptune sphere. The total mechanical energy of the cart at the top of the sphere is equal to the initial potential energy of the cart at the bottom of the sphere plus the work done by non-conservative forces, such as friction and air resistance.

The initial potential energy of the cart can be calculated using the equation:

U = mgh

where U is the potential energy, m is the mass of the cart, g is the acceleration due to gravity, and h is the height of the sphere.

The work done by non-conservative forces can be calculated using the equation:

W = Fdcos(θ)

where W is the work done, F is the force acting on the cart, d is the distance traveled by the cart, and θ is the angle between the force and the displacement.

At the top of the sphere, the kinetic energy of the cart, which is given by (1/2)mv^2 where m is the mass of the cart and v is the velocity, is equal to the initial potential energy plus the work done by non-conservative forces.

Therefore, we can write the following equation:

(1/2)mv^2 = mgh + Fdcos(θ)

Solving for v, we get

v = √(2gh + 2Fdcos(θ)/m)

In this expression v is the velocity of the cart when it is at the top of the Neptune sphere in terms of r, r and physical constants as needed. To find the value of velocity we need to know the values of the variables such as mass, height of the sphere, distance traveled, force acting on it and θ, and the acceleration due to gravity.

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Suppose you hold a small ball in contact with, and directly over, the center of a large ball. If you then drop the small ball a short time after dropping the large ball, the small ball rebounds with surprising speed. To show the extreme case, ignore air resistance and suppose the large ball makes an elastic collision with the floor and then rebounds to make an elastic collision with the still-descending small ball. Just before the collision between the two balls, the large ball is moving upward with velocity v

and the small ball has velocity -v

. (Do you see why?) Assume the large ball has a much greater mass than the small ball.
A. What is the velocity of the small ball immediately after its collision with the large ball?
B. From the answer to part A, what is the ratio of the small ball's rebound distance to the distance it fell before the collision?

Answers

We can make a few predictions about the relative velocities prior to and following the impact if kinetic energy and momentum are conserved. Both before and after the impact, the relative velocity is of equal magnitude.

After a collision, how can you determine an object's velocity?If you know the other values of an object's properties, you may determine its momentum or velocity using the momentum equation p = m•v.Despite not being able to move the huge ball very far, the small ball's momentum and velocity will be transferred to it. State the third law of motion of Newton.We can make a few predictions about the relative velocities prior to and following the impact if kinetic energy and momentum are conserved. Both before and after the impact, the relative velocity is of equal magnitude.We can make a few predictions about the relative velocities prior to and following the impact if kinetic energy and momentum are conserved.                        

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if the 1.5-m-long cord ab can withstand a maximum force of 3500 n, determine the force in cord bc and the distance y so that the 200-kg crate can be supported. fbc

Answers

3500 N is the same amount of force in cord BC as it is in cord AB. The equation of equilibrium Fy=Fabsin(theta)=Fbccos(theta), where theta is the angle between the two cords, may be used to compute the distance y.

The idea of force equilibrium can be used. To balance the weight of the crate (200 kg * 9.8 m/s2 = 1960 N), the force in cord BC (F bc) must be equal to the force in cord AB (3500 N). The idea of mechanical advantage may also be used to determine the distance y, which in this example equals the weight-to-force ratio of the BC cord. As a result, y = (200 kg * 9.8 m/s2) / 3500 N = 0.564 m if we assume that y is the distance from the point of suspension to the container. As a result, the distance y is 0.564 m and the force in cord BC is 3500 N.

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Part A
Drag words indicating what happens to the first blank and indicating the reason to the second blank.
The video shows a collapsing cloud of interstellar gas, which is held together by the mutual gravitational attraction of all the atoms and molecules that make up the cloud. As the cloud collapses, the overall force of gravity that draws the cloud inward __________________________ because _______________________.

Answers

The overall force of gravity that draws the cloud inward increases because the cloud's density increases.

What is gravity?

Gravity is a natural phenomenon by which all things with mass are brought toward one another. It is most commonly experienced as the weight of objects pulling them toward the Earth’s center. Gravity is the weakest of the four fundamental forces of nature, yet it is the most dominant force in determining the structure of the universe. It is the reason why planets, moons, and galaxies remain in their orbits. Gravity is also responsible for the formation of stars and planets, as well as the attraction between objects such as planets and moons. The gravity between two objects depends upon their mass and distance between them. Gravity is an important factor in the motion of all objects in the universe and is directly responsible for the tides, the motion of the planets and their motion around the sun.

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