a heavy block is suspended from a vertical spring. the elestic potential energy is stored in the spring is 2 j. what is the spring constant if the elongation of the spring is 10 cm

Answers

Answer 1

Answer:

k = 100 N/m

Explanation:

The elastic potential energy of a spring is equal to (1/2)kx^2, where k is the spring constant and x is the distance compressed. If the elastic PE is equal to 2J, we can solve for k. Make sure to convert units from cm to m:

(1/2)kx^2 = 2J

kx^2 = 1

k = 1/x^2

k = 1/(0.1)^2

k = 100 N/m


Related Questions

The magnitude of the force that does the work is 43.0 N. How much work is done by this force if a bookcase is moved a distance of 5.00 m

Answers

Work = Force * Distance
Work = 43 * 5 = 215 Joules

A 75 kg astronaut floating in space throws a 5 kg rock at 5 m/sec. How fast does the astronaut move backwards?

Answers

Answer:

The astronaut will get a velocity 0.064ms−1 opposite to the direction of the object.

If a 75 kg astronaut floating in space throws a 5 kg rock at 5 m/sec, then the astronaut would move backward with a speed of 0.33 meters/second.

What is momentum?

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.

P = mv

As given in the problem if a 5 kg astronaut floating in space throws a 5 kg rock at 5 m/sec,

By using the conservation of the momentum,

Assuming the initial momentum of the astronaut and ball would have been zero, the total final momentum of the system would be zero as well,

75*v +5*5 = 0

v = 25/75

v = -0.33 m/s

Thus, the astronaut would move backward with a speed of 0.33 meters/second.

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In its orbit, Earth circles the sun once every year. This movement around the sun is called a(n) ________.

Answers

Answer:

Is called a(n) revolution

Explanation:

A group of students performed a compression experiment where they placed weights on top of a cylinder of material and measured the change in the cylinder’s height. The cylinder had a radius of 2 cm, and an initial height of 10 cm. This group of students would like to know what kind of material their cylinder was. Based on their data shown below, and the Young’s modulus values shown, which of the materials below could the cylinder be made from? Select all that apply.

Answers

Based on the calculated Young’s modulus of the material, the material the cylinder could most likely be made of is butyl rubber which has a Young’s modulus of 0.001 to 0.002 GPa.

What is Young’s modulus?

Young's modulus, Y is a measure of a solid's ability to resist deformation in its length under stress or strain.

Mathematically,

Young’s modulus Y = stress/strain

where:

stress = Force/areastrain = extension/original length

Y = Fl/Ae

Area of the cylinder = πr^2

where;

π = 3.14

r = 2 cm = 0.02

Area of the cylinder = 3.14 × 0.02^2 = 0.00125 m^2

When a mass 5 kg was placed on the cylinder:

F = 5 × 10 = 50 N

l = 10 cm = 0.1 m

e = 10 - 7.73 = 0.39 cm = 0.0039 m

A = 0.00125 m^2

Using Y = Fl/Ae

Y = (50 × 0.1)/(0.00125 × 0.0039)

Y = 1025641.026 N/m^2

1 N/m^2 = 1 × 10^-9 GPa

Y = 0.001025 Gpa

When a mass 50 kg was placed on the cylinder:

F = 50 × 10 = 500 N

l = 10 cm = 0.1 m

e = 10 - 7.73 = 2.27 cm = 0.0227 m

A = 0.00125 m^2

Using Y = Fl/Ae

Y = (500 × 0.1)/(0.00125 × 0.0227)

Y = 1762114.537 N/m^2

1 N/m^2 = 1 × 10^-9 GPa

Y = 0.00176 Gpa

The Young’s modulus of the material is between 0.001025 Gpa and 0.00176 Gpa.

Therefore, the material the cylinder could most likely be made of is butyl rubber which has a Young’s modulus of 0.001 to 0.002 GPa.

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The material that the cylinder is made from is Butyl Rubber.

What is Young's modulus?

Young's modulus, or the modulus of elasticity in tension or compression, is a mechanical property that measures the tensile or compressive strength of a solid material when a force is applied to it.

Area of the cylinder

A = πr²

[tex]A = \pi \times (0.02)^2 = 0.00126 \ m^2[/tex]

Young's modulus of the cylinder

[tex]E = \frac{stress}{strain} \\\\E = \frac{F/A}{e/l} \\\\E = \frac{Fl}{Ae} \\\\[/tex]

Where;

e is extension

When 5 kg mass is applied, the extension = 10 cm - 9.61 cm = 0.39 cm = 0.0039 m.

[tex]E = \frac{(5\times 9.8) \times 0.1}{0.00126 \times 0.0039} \\\\E = 9.97 \times 10^5 \ N/m^2\\\\E = 0.000997 \times 10^9 \ N/m^2\\\\E = 0.000997 \ GPa\\\\E \approx 0.001 \ GPa[/tex]

When the mass is 50 kg,

extension = 10 cm - 7.73 cm = 2.27 cm = 0.0227 m

[tex]E = \frac{(50\times 9.8) \times 0.1}{0.00126 \times 0.0227} \\\\E = 1.7 \times 10^6 \ N/m^2\\\\E = 0.0017 \times 10^9 \ N/m^2\\\\E = 0.0017 \ GPa\\\\E \approx 0.002 \ GPa[/tex]

The Young's modulus is between 0.001 GPa  to 0.002 GPa

Thus, the material that the cylinder is made from is Butyl Rubber.

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PLS HELP I NEED TO TURN THIS IN SOON

Answers

Elastic potential, think elastic like rubber

HELPPP PLEASE !!!

1. look carefully at the pair of images and think about what the arrow means.

which image ( A or B ) shows the direction someone would need to kick the ball in order to move it toward the goal?

Answers

Answer:

It is A that best describe it.

The image that shows the direction someone would need to kick the ball in order to move it toward the goal is image A.

We have,

The arrow in a diagram tells us the direction in which it will go.

Now,

From image A and image B,

Image A tells us that if we kick the ball in the right direction it will hit the goal.

Image B tells us that if we kick the ball in the left direction the ball will not hit the goal but go to the opposite direction.

Thus,

The image that shows the direction someone would need to kick the ball in order to move it toward the goal is image A.

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What can you do to lower your carbon footprint?

Answers

Answer:

buy what you need to reduce waste, eat organic foods. drive less when transporting try walking instead of using a car or train

Explanation:

After the softball reaches its maximum height, it falls down, speeding up.

Answers

Answer:

GRAVITY

Explanation:

Answer:

Thanks

Explanation:

After the softball leaves your hand, it rises, slowing down the SOLUTION After the softball reaches its maximum height,it falls down speeding up.

The object is speeding up

18. Which two quantities are measured in the same units?
A. velocity and acceleration C. mass and weight
B. weight and force
D. force and mass

Answers

[tex]weight \: and \: force[/tex]

A car is traveling at 30 m/s ( approximately 67 mph) on I-95 highway. The driver applies the brakes and the car comes to a stop in 4.0 s . What is the car's acceleration, in m/s2

Answers

Answer:

step 1 the initial velocity of the car is u = 30 m/s.the final velocity of the car is v = 0 m/s. the time taken by

What will happen to the gravitational force between two bodies if the masses of one body is doubled?​

Answers

Answer:

If the mass of one body is doubled, force is also doubled.

Taking into account the Universal Law of Gravitation, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.

Universal Law of Gravitation

The Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.

The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.

Mathematically it is expressed as follows:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

where:

G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex].M and m are the masses of the bodies that interact.d is the distance that separates them.

Gravitational force if the masses of one body is doubled

By definition of gravitational force, the greater or lesser the value of any of the masses causes the force to be greater or lesser respectively.

Finally, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.

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What forces are acting upon you when you do a moonwalk

Answers

Answer:

u don't know friction?

Explanation:

friction?

A satellite travels in a circle at 100m/s. Compare the satellites speed and velocity.

Answers

Answer:

you can one a question . then i tell the answer

A car drives at a velocity of 6.8 m/s for 250 seconds. How far did it travel?

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Here's the solution ~

As we know, Displacement =

[tex]\qquad \sf  \dashrightarrow \: velocity \times time[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6.8 \times 250[/tex]

[tex]\qquad \sf  \dashrightarrow \: 1700 \: m[/tex]

OR

[tex]\qquad \sf  \dashrightarrow \: 1.7 \: km[/tex]

The car travelled 1700 meters ( 1.7 km )

Bill runs 400 meters to Andy's house, turns around, and runs 400 meters back home. What is Bill's displacement? A. 1600 meters B. 400 meters C. 0 meters D. 800 meters​

Answers

Answer:

C - 0 meters

Explanation:

Displacement is the difference in where you started and where you end up. If Bill starts at his house and ends at his house, there was no change in position, meaning Bill had no displacement. In math this would be

400 + (-400) = 400 - 400 = 0

assuming he runs in the positive direction and then in the negative direction. Either way you put it, it still ends up as 0

what are you guy's zodiac sign ?!

Answers

Answer:

Capricorn what is yours

Answer:

leo

Explanation:

A car is driving forward at a slow but constant velocity of 10 metere per second through a school zone. What is the car's acceleration?
A. The car has slowed down
B. The car has high acceleration
C. The car has no acceleration ​

Answers

Answer:

option b

Explanation:

hope its help

.....

..

The answer is Option B

a car slows down from 20 m/s to 10 m/s in 5 seconds. what is it’s acceleration

Answers

Answer:

-2 m/s²

Explanation:

How can a mass be hot enough to flow but still act like a solid

This is a Science question about the layers of the earth...

Answers

The inner core is solid because it is made of very dense, or heavy, materials like iron and nickel. Even though it is very hot, these materials don't

The moving charge in the wire causes the compass to deflect; this is because

Answers

A. the moving charge induces a magnet field

B. the energy of the charge pushes on the compass

C. the electrons heat up the wire, causing the compass to deflect

What is the correct definition of nuclear fission?.

Answers

Answer:

subdivision of a heavy atomic nucleus, such as that of uranium or plutonium, into two fragments of roughly equal mass.

Explanation:

Two point charges of 9μC and 4μC are placed a distance of 4 m apart.

1) Calculate the magnitude of the force, in Newtons, on a positive 5μC charge at the midpoint between the two charges.
2) Find the point, measured in meters from the 9μC charge, between the two charges where the force on the 5μC charge is 0?

Answers

Hi there!

1)

Since the charge placed in the middle is positive, we know that the particle is being repelled.

The particle experiences a greater repelling force by the 9μC charge. We can use the equation for electric force:
[tex]F_E = \frac{kq_1q_2}{r^2}[/tex]

k = Coulomb's Constant

q₁, q₂: Charges (C)
r = distance between charges (m)

This is a VECTOR quantity, so we must subtract the forces since they point in opposite directions.

Force from 9μC particle:
[tex]F_E = \frac{k(.000005)(.000009)}{2^2} = .101\\\\[/tex]

Force from 4μC particle:
[tex]F_E = \frac{k(0.000005)(0.000004)}{2^2} = 0.0450[/tex]

Subtract:
[tex].101 - 0.0450 = \boxed{0.561 N}[/tex]

2)

We can find a position by setting the two equations equal to one another. (Both repelling forces must be EQUAL for the force = 0 N)

Let the distance between the 9μC and 5μC charge equal 'x', and the distance between the 4μC and 5μC charge equal '4 - x'.

[tex]\frac{k(0.000009)(0.000005)}{x^2} = \frac{k(0.000004)(0.000005)}{(4 - x)^2}[/tex]

Cancel out 'k' and the 5μC value.

[tex]\frac{0.000009}{x^2} = \frac{0.000004}{(4 - x)^2}[/tex]


Solve for 'x' using a graphing utility.

[tex]\boxed{x = 2.4 m}[/tex]

Olivia is on a swing at the playground. if the swing is moving from W to Z, at which point is her kinetic energy increasing and her potential energy decreasing? (based on a starting point of W)

Answers

Answer:

from W-Z.. i think on a swing you get your most potential energy at W and Z is where you go up so Z would be where the kinetic energy increased and W is where potential energy decrease

Explanation:

hope this helps

Olivia is on a Swing at Playground - Option 2 Olivia is on a swing at the playground. Her kinetic energy increasing at x and her potential energy decreasing at x. At mean position velocity is maximum so kinetic energy ( K.E ) is also maximum and at mean position potential energy is minimum. Therefore, kinetic energy is increasing and potential energy decreasing at x.

Explanation

Credits to someone on a different answer

Sometimes an old scientific model is replaced by a new model.

Explain why scientists replace an old scientific model with a new model.

Include an example from Physics in your answer (4 marks)

Answers

[tex]\huge \text{Hello there! :)}[/tex]Question:-

Explain why scientists replace an old scientific model with a new model.

Include an example from Physics in your answer.

₊˚ ଘ Answer:

A scientific model is created to understand the concepts and explain the reason behind unexplained observations.

But the scientific models cannot explain all the unexplained observations.

When another scientific model which could explain some more observations than the previous model.

This new model replaces the old one.

 One such example in physics is geocentric and heliocentric models.

The geocentric model was based on the principle that all celestial bodies revolve around the earth as its center.

But this model failed to explain some planets move backward instead of forward.

The heliocentric model was based on the principle that all planets revolve around the sun as its center including earth.

 This model was able to resolve the backward and forward motion dilemma.

That is why heliocentric replaced the geocentric model.

[tex]\boxed{\huge \text{Hope this helps! :)}}[/tex]

[tex]\huge \text{Happy president's day! :)}[/tex]

-InLoveWithNature-

The model was used by scientists to predict the results of their investigations. The data frequently did not support their forecasts. This required a modification to the model.

The contemporary atomic model emerged as a result of numerous scientists building on one another's research.

What is scientific modeling?

Creating a physical, mental, or mathematical model of a genuine occurrence that is challenging to see firsthand is known as scientific modeling.

In a range of scientific disciplines, from chemistry and science to ecology and also the Earth sciences, scientific models are employed to explain and forecast the behavior of real things or systems.

Though modeling is an essential part of contemporary science, scientific models are, at best, approximations rather than perfect representations of the systems and things they represent. As a result, scientists are always trying to enhance and improve models.

Scientific modeling has a variety of goals. Some models, which are frequently developed from experimental data, are being used mainly to visualize an object or system, such the three-dimensional dbl model of DNA.

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a car speeds up from 12 m/s to 20 m/s in 6.4 s. if its mass is 1200kg, what force must its engine provide?

Answers

Answer:

1500 N

Explanation:

• Initial velocity, u = 12 m/s

• Final velocity, v = 20 m/s

• Time taken, t = 6.4 s

• Mass, m = 1200 kg

[tex]\longrightarrow[/tex] F = ma

a = (v u)/t, so

[tex]\longrightarrow[/tex] F = 1200 × (20 – 12)/6.4

[tex]\longrightarrow[/tex] F = 1200 × 8/6.4

[tex]\longrightarrow[/tex] F = 1200 × 80/64

[tex]\longrightarrow[/tex] F = 1200 × 40/32

[tex]\longrightarrow[/tex] F = 1200 × 20/16

[tex]\longrightarrow[/tex] F = 300 × 20/4

[tex]\longrightarrow[/tex] F = 300 × 5

[tex]\longrightarrow[/tex] F = 1500 N (Answer)

Please someone help me with this

Answers

Answer:

I believe it is D

Explanation:

A compass needle always points in a direction .........................

Answers

Answer:

Centre is the Answer hope its is right and helpfull

can anyone please how answers this

Answers

Answer:

B.

Explanation:

Completely destroy

A substances are composed​

Answers

Substances are composed of atoms, although I'm not sure if this is what you mean

A flask that weighs 345.8 g is filled with 225 ml of carbon tetrachloride. The weight of the flask and carbon tetrachloride is found to be 703.55g. Calculate the density in g/ml and g/L.

Answers

Answer:

The density of carbon tetrachloride is 1.59 g/cm^3.

Given the following data:

Mass of flask = 345.8 gVolume of carbon tetrachloride = 225 mLMass of flask and carbon = 703.55 g

To find the density of carbon tetrachloride;

First of all, we would determine the mass of carbon tetrachloride;

Mass of flask and carbon = mass of flask + mass of carbon tetrachloride

703.55 = 345.8 + mass of carbon tetrachloride

Mass of carbon tetrachloride = 703.55 - 345.8

Mass of carbon tetrachloride = 357.75 g

Next, we would solve for the density of carbon tetrachloride by using the formula;

Substituting the values into the formula, we have;

Density = 1.59 g/cm^3

Therefore, the density of carbon tetrachloride is 1.59 g/cm^3.

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