A block of mass =4.20 kg slides along a horizontal table with velocity 0=3.50 m/s . At =0 , it hits a spring with spring constant =26.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by =0.250 . How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.

Answers

Answer 1

The distance in which the spring is compressed is 1.065 m.

The given parameters;

mass of the block, m = 4.2 kgvelocity of the block, v = 3.5 m/sspring constant, k = 26 N/mcoefficient of friction, μ = 0.25

Apply the principle of conservation of energy to determine the distance in which the spring is compressed.

[tex]K.E = W + U\\\\\frac{1}{2} mv^2 = \mu Fx \ + \ \frac{1}{2} kx^2\\\\\frac{1}{2}(4.2)(3.5)^2 = 0.25(4.2 \times 9.8)(x) \ + \frac{1}{2} (26)(x^2)\\\\25.725 = 10.29x \ + \ 13x^2\\\\13x^2 + 10.29x - 25.725 = 0\\\\[/tex]

solve the quadratic equation using formula method;

a = 13, b = 10.29,  c = -25.725

[tex]x = \frac{-b \ \ +/- \ \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(10.29) \ \ +/- \ \sqrt{(10.29)^2 \ - \ 4(13\times 25.725)} }{2(13)} \\\\x = 1.065 \ m, \ \ or \ -1.86 \ m[/tex]

choose positive distance, x = 1.065 m.

Thus, the distance in which the spring is compressed is 1.065 m.

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Related Questions

why do we believe 90 percent of the mass of the milky way is in the form of dark matter?

Answers

Answer:

The orbital speeds of stars far from the galactic center are surprisingly high, suggesting that these stars are feeling gravitational effects from unseen matter in the halo.

Which of these is a likely impact of the stronger than normal trade winds on the eastern Pacific ocean?

Warm surface water builds up, causing lower than average temperature.
Warm surface water builds up, causing higher than average temperature.
Warm surface water is reduced, causing colder conditions than normal.
Warm surface water is reduced, causing hotter conditions than normal.


Just say A B C or D which one

Answers

Answer:

b i think

Explanation:

hope this helps

Answer:  A B C or D which one

Explanation:

The strength of the electric field 0. 5 m from a 6 µC charge is _______ N/C. (Use k = 8. 99 × 109 N•meters squared per Coulomb squared and round answer to the nearest whole number. ) 215760 539400 697976 512356.

Answers

The strength of the electric field at a distance of 0.5 m from a 6 μC punctual charge is 143,840 N/C.

We want to calculate the strength of the electric field 0.5 m (r) from a 6 μC charge (Q).

What is the electric field?

The electric field (E) is a region around a charged particle or object within which a force would be exerted on other charged particles or objects.

We can calculate the electric field at some distance from a punctual charge using the following formula.

E = (k × Q) / r²

E = [(8.99 × 10⁹ N.m².C²) × (4 ×  10⁻⁶ C)] / (0.5 m)² ≈ 143,840 N/C

where,

k is the Coulomb's law constant.

The strength of the electric field at a distance of 0.5 m from a 6 μC punctual charge is 143,840 N/C.

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Gold density = 19.30,
Silver density = 10.49,
Lead density = 11.34.

They have the same mass but are made of different metals. Each one is lowered into a beaker of water. Use the data above to decide which one will cause the biggest rise in water level.

A) Gold
B) Silver
C) Lead
D) All will cause the same rise in water level​

Answers

Density of gold=19.30g/cm^^3Density of silver=10.49g/cm^3Density of lead=11.34g/cm^3

Density of water=1g/cm^3

Now all metals has greater mass in comparison to water.

Higher the mass higher the rise

[tex]\\ \sf\longmapsto Density=\dfrac{Mass}{Volume}[/tex]

[tex]\\ \sf\longmapsto Density\propto Mass[/tex]

Higher the density higher the mass

Gold has higher mass hence it will cause the biggest rise.

Option A

Silver will cause biggest rise in water

What is density ?

Density of an object is a measure of its mass per unit volume.

density = mass / volume

since all have same mass , so metal which have higher volume will cause the biggest rise in water level .

since , density is inversely proportional to volume , hence material having low density will have higher volume

hence , silver will cause biggest rise in water

correct option B) Silver

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In what part of the electromagnetic spectrum do the biggest telescopes on earth operate?.

Answers

Explanation:

Notice it says above that the largest optical telescopes in the world are reflectors. Optical telescopes collect visible light. Even larger telescopes are built to collect light at longer wavelengths radio waves.

What type of energy transfer causes a sunburn?

Radiation, because particles of hot air move in space
Radiation, because electromagnetic waves transfer heat
Conduction, because hot air comes in contact with the skin
Conduction, because invisible light carries heat from the sun


Pacificaly what is the right answer A? B? C? or D? which one

Answers

Answer:

radiation

Explanation:

Answer:

B is most likely forgive me if im wrong

Explanation:

write two example in which chemical energy is converted into heat energy ​

Answers

Answer:

batteries in an electric heater, a nuclear power plant

Explanation:

sorry if it wrong g

Physics Physics Physics - 10​

Answers

Answer:Pulley , Wheel and axle , Screw , wedge , Incline

Explanation:

Answer: below .

Explanation:

Pulley , Wheel , axle , Screw , wedge , Incline

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

how is pure salt obtained from the sea water ?describe in brief ​

Answers

Answer:

Evaporation

Explanation:

Evaporation

Answer:

Salt from sea water is obtained by the process of evaporation. ... The sea water evaporates due to the sun's heat and solid salt is left behind. The left salt is collected and refined to get purified salt. Hence, salt is obtained from sea water by evaporation.

A feather drops in a vacuum. What is the feather's final velocity if it falls for 3.48s?

A. -34.1 m/s
B. 59.3 m/s
C. -59.3 m/s
D. 34.1 m/s

Answers

Answer:

34.104

Explanation:

the time * acceleration = final velocity.

so 3.48s * 9.8m/s (gravity) = 34.1 m/s

The mercury in a barometer of a cross-sectional area 1 cm² stands at 75 cm, and the space above it is 9 cm in length. What
volume of air, measured at 3. The mercury in a barometer of a cross-sectional area 1 cm² stands at 75 cm, and the space above it is 9 cm in length. What
volume of air, measured at atmospheric pressure, would have to be admitted into the space to cause the column of the mercury
to drop to 59 cm?

Answers

The ideal gas equation and the pressure in barometer allows us to find the amount of air that we must introduce into the barometer for the change in height of the mercury column is:

The  variation  of the volume is: ΔV = 7.67 cm³

Pressure is defined by the relationship between force and area.

       P = F / A

The ideal gas equation establishes a relationship between pressure, volume, and temperature of an ideal gas.

          PV = nR T

Where P is pressure, V is volume, and T is temperature.

Let's write this equation for two points assuming that the temperature has not changed.

          P₀ V₀ = P₁ V₁

          V₁ = [tex]\frac{P_o}{P_1} \ V_o[/tex]                 (1)

The subscript "o" is used for the start point and the subscript "1" for the end point.

The pressure in a barometer is:

         P = ρ g y

They indicate the initial height of the barometer y₀=75 cm, the distance from empty space y'₀ = 9 cm and the final height of the barometer y₁ = 59 cm.

 

The volume of the cylinder is

         V = π r² y

Let's calculate the initial volume.

         V₀ = π 1 9

         V₀ = 28.27 cm³

We substitute in equation 1.

         V₁ = [tex]\frac{\rho \ g \ y_o}{\rho \ g \ y_1} \ V_o[/tex]  

         V₁ = [tex]\frac{y_o}{y_1} \ V_o[/tex]  

Let's calculate.

        V₁ = [tex]\frac{75}{59} \ 27.27[/tex]  

        V₁ = 35.94 cm³

The volume to be incremented is

         ΔV = V₁ - V₀

         ΔV = 35.94 - 28.27

         ΔV = 7.67 cm³

Using the ideal gas equation and the pressure in barometer we can find the amount of air that we must introduce into the barometer for the change in height of the mercury column is:

The change of the volume is: ΔV = 7.67 cm³

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The Kentucky Derby is one of the most exciting horse races run every year. In 1973, the horse Secretariat set a record that still stands. This 500-kg horse ran the 2000-m track in 120 s. What was Secretariat’s average kinetic energy? (1 kJ = 1000 J)

Need answers with explanaitions please

A. 4.2 kJ
B. 8.3 kJ
C. 69.0 kJ
D. 139.0 kJ

Answers

Answer:

C.69 kJ

Explanation:

kinetic energy

[tex] = 1 \div 2mv {}^{2} [/tex]

C 69.0 kj is correct

The drag force on a falling coffee filter can be modeled as a linear function with respect to velocity, F⃗ D =−bv, where b is a positive constant related to the surface area and shape of the coffee filter. The teacher demonstrates how the value of constant b can be determined by releasing coffee filters from rest and having them fall toward a motion detector, as shown. The students repeat the activity and use the motion detector to measure the position, velocity, and acceleration of different coffee filters as they fall. Which of the following would provide the data needed to determine the value of b ?

Answers

Newton's second law and graphical analysis allow us to find the correct answer for the measure of the constant b is:

    D) Stack several filters to change the mass measure the acceleration of the system.

Newton's second law establishes a relationship between the net force, the mass and the acceleration of the bodies.  

         ∑ F = m a

Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.

They indicate that the drag force on the filters is

         F = - b v

Where b is a positive constant that depends on the shape and area of ​​the filter and v is the speed of the filter.

Let's write Newton's second law.

         W - fr  = ma

         W -bv  = ma

         

In the experiment the students indicate that they can measure the position, velocity and acceleration of the body.

Based on the above, if we place several filter weights and measure their speed and acceleration in each case, we can make a graph of velocity versus acceleration, we can take the value of the constant b from the slope.

Let's analyze the different answers:

A) False. The constant b depends on the shape of the filter therefore it must be kept constant.

B) False. The constant depends on the area, so it must be kept constant.

C) May be. In this case, since we have the terminal velocity, the acceleration is zero, Newton's second law remains.

                    B v - W = 0

                    b = [tex]\frac{W}{v}[/tex]  

The problem with the method is the difficulty of measuring the compression terminal velocity.

D) True. According to the discussion of the velocity versus acceleration. graph, the constant b is equal to the slope of the graph.

E) May be. The problem with this method is finding a reliable value for the terminal velocity.

In conclusion, using Newton's second law and graphical analysis we can find the correct answer for the measure of the constant b is:

 D) Stack several filters to change the mass measure the acceleration of the system.

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HELP
How much heat energy is required to raise the temperature of 37.5g of water from 23.0°C to 55.2°C? The specific heat for water is 4.184 J/g°C. (Include your calculation to receive credit.)

Answers

Answer: 5.05 J

Explanation:

Qcalorimeter: m*c* ΔT  --> (37.5g)*(4.184J/g ° C)*(55.2 °C – 23.0 °C)    Qcalorimeter: 5.05 J

According to specific heat capacity, 5.052 kJ of heat energy is required to raise the temperature of 37.5 g of water from 23.0°C to 55.2°C.

What is specific heat capacity?

Specific heat capacity is defined as the amount of energy required to raise the temperature of one gram of substance by one degree Celsius. It has units of calories or joules per gram per degree Celsius.

It varies with temperature and is different for each state of matter. Water in the liquid form has the highest specific heat capacity among all common substances .Specific heat capacity of a substance is infinite as it undergoes phase transition ,it is highest for gases and can rise if the gas is allowed to expand.

It is given by the formula ,

Q=mcΔT

Substitution in above formula, givesQ= 37.5×4.184×32.2=5052.18 J or 5.052 kJ.

Thus , 5.052 kJ of  heat energy is required to raise the temperature of 37.5g of water from 23.0°C to 55.2°C.

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How is AU different from a solar mass?
A. An AU is the distance from the black hole at the center of the galaxy to the closest planet, and solar mass represents a measurement equal to the mass of a black hole's quasar.
B. An AU is the smallest unit of measurement in quantum mechanics, and a solar mass is the largest unit of measurement in astronomy.
C. An AU is the distance from the event horizon to the singularity of a black hole, and solar mass is the distance between the two closest black holes in a galaxy.
D. An AU is the distance from the earth to the sun, and solar mass represents a measurement equal to the mass of our sun.

Answers

AU is the distance from the earth to the sun, and solar mass represents a measurement equal to the mass of our sun.

The units applied in astronomy is quite different from the units applied in daily life. The unit called astronomical units (AU) describes the distance from the earth to the sun. The unit solar mass represents the mass of the sun and is taken to be equal to 1.989 x 10^30 kilograms.

Therefore, the difference between the AU and solar mass is that; AU is the distance from the earth to the sun, and solar mass represents a measurement equal to the mass of our sun.

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PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!

Walter has a paper due on a novel that he has not read. He knows that his teacher will expect detailed references to the novel in his paper. He is thinking that he can listen to it while he is lifting weights and multi-task. What is the BEST response to Walter?
A.
He does not really need to concentrate on exercise, so it is fine.
B.
He would be better off focusing on his workout and then turning to the novel.
C.
If he is doing a type of exercise that allows him to stop and take notes, it is fine.
D.
Doing as many tasks as possible is generally a good idea and promotes efficiency.


PLEASE NO LINKS

Answers

Answer:

I'm no expert, but multitasking is a no bueno. Because multitasking reduces your efficiency and performance because your brain can only focus on one thing at a time. When you try to do two things at once, your brain lacks the capacity to perform both tasks successfully.

Therefore I would choose A, considering he could easily workout another time, whilst the test is a one time thing. He can't redo the test, but he can workout again. So my answer is A.

If he HAS to workout and study at the same time, then C would be appropriate.

I hope this helps!

A new tube is used each time a blood sample is tested.Explain why valid results are only obtained if each tube is identical

Answers

Valid results are only obtained if each tube is identical because; effective comparison of the tested blood each time can only be achieved if the testing model is constant in which case each tube is identical.

Discussion:

During scientific tests such as that described in the question; it is important to keep all parameters of testing constant.

This is so because, the utmost motive of the testing model is to draw comparison. It is on this note that valid results are only obtained if each tube is identical.

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Describe at least two similarities between untraviolet rays and microwaves

Answers

I said thank youu for picking me too hard I asked if I was

how did u figure this out

Answers

Answer:

huh? figure wht out??

Explanation:

have a great day!

Answer:

What's the meaning of the phrase 'figure it out'?

figure out 1 To discover or decide something: Let's figure out a way to help. We figured out when to hold the next meeting. 2 To solve or decipher something: Can you figure this puzzle out? Late into the night, I figured out my homework

Explanation:

I WILL GIVE YOU 25 POINTS!! PLEASE HELP!!

In which scenario below does the ball have more gravitational potential energy when sitting at the top. Why?

Answers

b. because gravity can just pull it straight up than in sort of a zigzag way (A) where it won’t have as much space to move.

The B figure has got more gravitational potential energy because gravity can draw it up straight rather than in a fashion (A) that would leave it with less room to travel.

What is Gravitational Potential Energy?

The work (energy exchanged) per mass that would be required to transport an object to a point from a set reference location is the gravitational attraction at that location. It mimics the electric potential, with mass acting as the charge. There is a negative potential at any finite distance because the benchmark location, where the potential is zero, is conventionally indefinitely far from any mass.

The subject of potential theory is based on the gravitational potential, sometimes referred to as the Newtonian potential in mathematics. The electrostatic and popular throughout the world fields produced by ellipsoidal bodies that are uniformly charged or polarized can also be resolved using this method.

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how to find the latitude and longitude of an address

Answers

Answer:

To get the latitude of the address in cell B2, use the formula = GetLatitude (B2) To get the longitude of the address in cell B2, use the formula = GetLongitude (B2) To get both the latitude and longitude of the address in cell B2, use the formula = GetCoordinates (B2)

Explanation:

CAN I GET BRAINLIEST

PLEASE HELP!!!!!!!!!!!
A 12 volt car battery produces more current than a 1.5 volt battery for a TV remote because


A. The TV remote has a greater difference in electric potential energy


B. The car battery has more kinetic energy


C. The TV remote has more kinetic energy


D. The car battery has a greater difference in electric potential energy

Answers

A 12 volt car battery will produces more current than a 1.5 volt battery for a TV remote because the car battery has a greater difference in electric potential energy than a 1.5 Volt battery. The correct answer is D

The potential difference between any two point in a circuit is the work done when one coulomb of charge moves from one point to the other. Potential difference is a kind of electrical pressure difference between two point.

The difference in electric potential in a 12 Volt battery is greater than the difference in electric potential in a 1.5 Volt battery.

According to Ohm's law, Voltage supplied is proportional to current produced. That is, V = lR. Where R = resistance.

A 12 volt car battery will produces more current than a 1.5 volt battery for a TV remote because the car battery has a greater difference in electric potential energy than a 1.5 Volt battery.

Therefore, the correct answer is the option D

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2. What are the challenges of wind energy that causes decrease in the electrical production?
3. Give two solutions:
1. Modification in the structure of the turbine
2. Modification in the function of the turbine.

4. You must estimate the cost in each solution, and which one is more affordable and efficient for the municipality to go for.

5. You must make sure that there is minimal energy loss.

Answers

Levelized production cost is a big challenge in the production of wind energy.

The main challenge in the production of wind energy is the high production cost. It has to minimize the Levelized Production Cost (LPC) which is the ratio between energy production cost and economic lifetime. This problem can be solved by doing modification in the structure of the turbine as well as we must ensure minimal energy loss.

The modification in the structure can produce more electrical energy and reduce the energy loss also provides more profit to the company so we can conclude that levelized production cost is a big challenge in the production of wind energy.

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Question 1
A block with a mass of 2.5 kg slides with a velocity of 3 m/s on a frictionless surface. It hits a horizontal spring with a spring constant of 10 N/m. How much is the
spring compressed when the block stops?

Answers

Answer:

The kinetic energy of the sliding block is =1/2×m×v  

2

 =1/2×4×2  

2

=8 J

Now since there is no friction on the surface then it is a conservative system. So all the energy of the block will be transferred to the spring and will store as a potential energy. Suppose it will compress the spring by an amount of x m. So the potential energy of the spring will be =1/2×k×x  

2

 

Equating there two energies and solving for x, we will get, 1/2×k×x  

2

=8

Or  0.5(400)x  

2

=8

⟹x=0.2 m.  

Explanation:

A boy pushes a stationary box of mass 20 kg with a force of 50 N.
Calculate the acceleration of the box. (Assume that there is no friction.)

Answers

Answer:

2.5m/s^2

Explanation:

Since there is no friction, the only force acting on the box is the applied force

We can now use the equation Fnet = ma

and we can rearrange for a

a = Fnet/m

now input the values

a = 50N/20kg

a = 2.5 m/s^2

Can Hotspots can be found at the edges of tectonic plates?

Answers

Answer:

No.

Explanation:

Hot spots don't appear at the barriers of tectonic plates, instead, they originate at hot centres known as mantle plumes. Mantle plumes exist below the tectonic plates and may develop a string of volcanoes on the Earths surface.

what is heliocentric?​

Answers

Answer:

having or representing the sun as the centre, as in the accepted astronomical model of the solar system.

Explanation:

Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the Universe. Historically, heliocentrism was opposed to geocentrism, which placed the Earth at the center.

A bullet of mass 6.00 gg is fired horizontally into a wooden block of mass 1.20 kgkg resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.190. The bullet remains embedded in the block, which is observed to slide a distance 0.270 mm along the surface before stopping.
(a) What was teh initial speed of the bullet?(b) What kind of collision took place between the bullet and the block? Explain your answer comparing the values of the kinetic energy before and after the collision.(c) Calculate the impulse of the block from the moment just after the impact to his final position. Analyze the result.

Answers

Answer:

A 5.00-g bullet is fired horizontally into a 1.20-kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20. The bullet remains embedded in the block, which is observed to slide 0.230 m along the surface before stopping.

Explanation:

in order to have beef becomes tender she will use

Answers

Answer:

you

Explanation:

you will be used is this frl?

I am confused but you do you buddy

Column A
Column B
1.
Frequency
a. Ohm
2.
Amplitude for sound
b. Decibel
3
Force
C. Joule
4
Distance
d. Newton
5.
Current
e. Amperdiet
6.
Resistance
f. Meter
7.
Voltage
g. Hertz
8.
Energy
h. Volt

Answers

Answer:its 3 and 5

Explanation:

j

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