A spring with spring constant 120 N/m and unstretched length 0.4 m has one end anchored to a wall and a force F is applied to the other end.

Required:
a. If the force F does 250 J of work in stretching out the spring, what is its final length?
b. If the force F does 250 J of work in stretching out the spring, what is the magnitude of F at maximum elongation?

Answers

Answer 1

(a) The work done by F in stretching the spring a distance x is

W = 1/2 (120 N/m) x ²

so F performs 250 J of work on the spring, then

250 J = 1/2 (120 N/m) x ²   ==>   x ² ≈ 4.17 m²   ==>   x2.04 m

(b) In order for F to perform 250 J of work, its magnitude must be

F = (120 N/m) (2.04 m) ≈ 245 N


Related Questions

An amusement park designer wants his swing to have a centripetal acceleration of 24 m/s2. If the velocity of the swing is 11 m/s, how long should the chain on the swing be?
A. 6.5 m
B. 5.5 m
C. 5.0 m
D. 6.0 m

Answers

Answer:

radius is C: 5.0 m

Explanation:

formular for centripetal acceleration:

[tex]a = \frac{ {V}^{2} }{r} [/tex]

a is acceleration

V is velocity

r is radius

[tex]24 = \frac{ {11}^{2} }{r} \\ \\ r = \frac{ {11}^{2} }{24} \\ \\ r = 5.0 \: m[/tex]

Answer: 5.0 meters (choice C)

This length is approximate.

==========================================================

Explanation:

The centripetal acceleration formula we use is

a = (v^2)/r

where v is the linear velocity and r is the radius. The swing moves in a circular path, so the chain acts as the radius. If we can find the radius, then we have found the chain length. The goal is to find r when a = 24 and v = 11

So we have...

a = (v^2)/r

24 = (11^2)/r

24 = 121/r

24r = 121

r = 121/24

r = 5.041667 approximately

r = 5.0 meters when rounding to the nearest tenth

The chain should be approximately 5.0 meters.

A ball is rotating on a circle of radius 0.500m at a constant ratr of 200 rev/min.Find the speed and acceleration of the ball.

Answers

Answer:

Solution

verified

Verified by Toppr

The radius of the tire is r=0.500m. The speed of the stone on its outer edge is

  v  

t

=  

T

2πr

=  

(60.0s/200rev)

2π(0.500m)

=10.5m/s

and its acceleration is

  a=  

R

v  

2

 

=  

0.500m

(10.5m/s)  

2

 

=219m/s  

2

 inward.

Explanation:

lab report of current resistance and omhs law

Answers

Answer:

ya

Explanation:

Questions: 1.         Do these resistors satisfy Ohm   ’  s law? Explain your answer.   — All resistors satisfy Ohm's law unless the current through the resistor is more than the ca-pacity of the resistor which might lead to meltdown of the material due to heating.2.         Is an ammeter connected in series or parallel with a circuit component? Explain.   — An ammeter must always connect in series. As the ammeter measures current in a circuit/loop it must be connected along with a circuit element.3.         Is a voltmeter connected in series or parallel with a circuit component? Explain.   — A Voltmeter measure voltage across a circuit element, hence it must be connected paral-lel to the element that we have to measure voltage.

K-12 After homework


Which of the following statements is NOT true?


All materials eventually stop bouncing.



Some balls will bounce longer than others depending on the material they are made of.



The lower the drop height of a ball, the higher the ball will bounce.



The higher the drop height of a ball, the higher the ball will bounce

Answers

The lower the ball the higher the bounce is false

Explain the term majority and minority carriers of a material with respect to the acceptor and donor impurity.​

Answers

Answer:

carriers and so are called majority carriers. A few thermally generated electrons will also exist in the p side; these are termed minority carriers. On the n side the electrons are the majority carriers, while the holes are the minority carriers. Near the junction is a region having no free-charge…

Answer:

The majority charge carriers carry most of the electric charge or electric current in the semiconductor. Hence, majority charge carriers are mainly responsible for electric current flow in the semiconductor. The charge carriers that are present in small quantity are called minority

identify and explain the importance of any five sources of radiation used in the health sector​

Answers

We have that Radiations in there own different ways affect the health sector, the identified sources of radiation are

X-ray gamma raySunUraniumStrontium-90Radioactive potassium-40

Generally the sources of radiation selected to be discussed are

X-ray gamma raySunUraniumStrontium-90Radioactive potassium-40

Potassium-40

This is an internal Radio active element that is found in the human body.It is found in the food we eat because of a Natural Radioactivity that acts on every food as Potassium-40 gives rise to some activity in the food we eat.

X-ray (gamma ray)

X ray is use diversely in the health sector but I will focus its use in the Radioactive scan of the body with the aim to discover what is wrong with a patient or to know if the is anything wrong with a patient

Uranium

This is a source of radiation but one to be abstained from as its possess kidney damaging properties and should be wary of for health purposes

Sun

The Sun is a major source of Radiation and its Health benefits of uses are numerous as exposure to it helps to provide vitamin D for deficient patients strengthens bones and many more

Strontium-90

This is a particle produce beta particles,these particles are use  in the Health sector to cure cancer related to the Bones and Eyes

Pls help me 10 points

Answers

Answer:

d is the right answer

it's was helpful to you

Suppose we are told that the position of an object (x) moving with an acceleration a is proportional to some power of a, say an and some power of t, say tm. Determine the values of n and m and write the simplest form of an equation for the position.

Answers

(a) The value of n is 1 and the value of m is 2

(b) The simplest form of an equation for the position is [tex]at^2[/tex]

The given expression:

[tex]x = a^nt^m[/tex]

To find:

the values of a values of n and msimplest form of the equation

The values of n and m will be calculated using the dimensions of accelerations, position and time.

The dimension of acceleration, [tex]a = LT^{-2}[/tex]The dimension of position, x = LThe dimension of time, t = T

(a) the values of n and m are calculated as follows:

[tex]x = a^n t^m\\\\ L = [LT^{-2}]^n [T]^m\\\\L = [L]^n [T^{-2n}][T]^m\\\\L = [L]^n[T^{m-2n}]\\\\L^1T^0 = [L]^n[T^{m-2n}]\\\\L^1 = L^n\\\\n = 1\\\\T^0 = T^{m-2n}\\\\0 = m - 2n\\\\0 = m- 2(1)\\\\0 = m- 2\\\\m = 2[/tex]

(b) The simplest form of an equation for the position can be written as;

[tex]x = a^n t^m\\\\x = a^1 t^2\\\\x = at^2[/tex]

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Which of the following statements is correct?
A) For a farsighted person, the near point is always located farther than 25 cm from the eye and the corrective lens is converging
B) For a farsighted person, the near point is always located farther than 1 m from the eye and the corrective lens is diverging U
C) For a nearsighted person, the near point is always located closer than infinity from the eye and the corrective lens is converging, U
D ) For a nearsighted person, the near point is always located closer than 25 cm from the eye and the corrective lens is diverging

Answers

Answer:

b

Explanation:

sorry if i got it wrong

Describe the principle, construction and working of Hydraulic brakes.​

Answers

Answer:

E= mc^2

Explanation:

I don't know.Err.. why don't you ask another person

7. what do the key results indicate?

Answers

The key results indicate that lightning contains electricity.

A rabbit has a mass of 2kg. What is its weight

Answers

Answer:

the weight should be around that main 20kg

29. Convert 2.922 x 10-14 to a standard number.

Answers

Since the exponent is negative, move the decimal point to the left (backward).

0.000 000 000 000 029 22

What happens if you go through a black hole ?

Answers

Explanation:

The intense gravity of the black hole would pull you apart, separating your bones and muscles.

You die and then no one knows what happened to you

A-2.0m/s
B-0.2m/s
C-1.4m/s
D-0.5m/s

Answers

Answer:

D. 0.5 m/s

Explanation:

From C to D:

displacement, d is (8 - 7) = 1 m

time, t is (7 - 5) = 2 s

[tex]velocity = \frac{displacement}{time} \\ \\ velocity = \frac{1}{2} \\ \\ velocity = 0.5 \: m {s}^{ - 1} [/tex]

Please help me find the magnitude and direction of the resultant force​

Answers

1.41 is the magnitude and -45° is the direction

the current through a 50ohm's resistance is 2A , how much power is dissipated as heat.

Answers

Answer:

Power is 5000 W

Explanation:

[tex]{ \bf{P=I {}^{2} R}}[/tex]

P is power

I is current

R is resistance

[tex]P=50 {}^{2} \times 2 \\ P=5000{}^{} \: watts[/tex]

Which describes a difference between solar wind and a geomagnetic storm? Select the three correct answers. (2 points)
Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind.
Geomagnetic storms travel at the speed of light, while solar wind takes four days to reach Earth.
Geomagnetic storms occur only occasionally, solar wind is constant.
Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun
Geomagnetic storms are constant, solar wind occurs only occasionally.

Answers

We have that the three correct answers are

"Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind" is a correct statement from the definition above."Geomagnetic storms occur only occasionally, solar wind is constant."This statement is correct as the sun emission of solar wind particles are constant but Geomagnetic storms are occasional."Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun" This statement is correct as CMEs(  Coronal Mass Ejections) are sometimes the main reason for  Geomagnetic storms

We First define the two Phenomenons

Solar Winds

These are Particles such as Plasma and other Harmful particles Dispersed by the sun of the a galaxy that can be harmful to Humans.

Geomagnetic storm

A Geometric storm is a kind of storm that comes about because of the an attack of the solar wind on earths magnetic field above atmosphere.

Therefore

"Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind" is a correct statement from the definition above.

"Geomagnetic storms travel at the speed of light, while solar wind takes four days to reach Earth." This is false as Geometric storms are the Phenomenons that emanate on earth.

"Geomagnetic storms occur only occasionally, solar wind is constant."This statement is correct as the sun emission of solar wind particles are constant but Geomagnetic storms are occasional.

"Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun" This statement is correct as CMEs(  Coronal Mass Ejections) are sometimes the main reason for  Geomagnetic storms

"Geomagnetic storms are constant, solar wind occurs only occasionally."This statement is False as Stated in the definitions above

In conclusion

The three correct answers are

"Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind" is a correct statement from the definition above."Geomagnetic storms occur only occasionally, solar wind is constant."This statement is correct as the sun emission of solar wind particles are constant but Geomagnetic storms are occasional."Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun" This statement is correct as CMEs(  Coronal Mass Ejections) are sometimes the main reason for  Geomagnetic storms

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g A high-energy photon turns into and electron and a positron. (A positron has exactly the same mass as the electron, but opposite charge.) What is the longest wavelength that the photon can have for this process to occur

Answers

Answer:

2 m = E / c^2      where m is mass of electron

E = h v     where v is the frequency ( nu) of the incident photon

E = h c / y      where y is the incident wavelength (lambda)

2 m = h / (c y)

y = h / (2 m c)      wavelength required

y = 6.62 * 10E-34 / (2 * 9.1 * 10E-31 * 3 * 10E8)  m

y = 3.31 / 27.3 E-11 m

y = 1.21 E -12 m   = .0121 Angstrom units

A sound that is perceived as twice as loud requires
Select one:
O a. four times the intensity,
O b. twice the intensity.
C
ten times the intensity
d. one hundred times the intensity.

Answers

Answer:

C.ten times the intensity.

two car moving in the same direction have speed of 100km/h-1 and 130km/h.what is the resultant of velocity .shoe carnival in the same direction having speed of 100 km per hour - 1 and 130 km per hour to kilometre-per-hour - 1 ​

Answers

Answer:

jjjjjjhshahshhddhdhh

If a point has 40 J of energy and the electric potential is 8 V, what must be the charge?
OA.50
B. 320 C
O c. 40 c
OD. 8C
Reset Selection

Answers

If a point has 40 J of energy and the electric potential is 8 V, the charge must be: A. 5 C

Given the following the details;

Energy = 40 JoulesElectric potential = 8 Volts

To find the quantity of charge;

Mathematically, the quantity of charge with respect to electric potential is given by the formula;

[tex]Quantity \; of \; charge = \frac{Energy}{Electric \; potential}[/tex]

Substituting the values into the formula, we have;

[tex]Quantity \; of \; charge = \frac{40}{8}[/tex]

Quantity of charge = 5 Coulombs

Therefore, the quantity of charge must be 5 Coulombs.

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Energy=E=40JPotential difference=V=8VCharge=Q

[tex]\boxed{\sf E=QV}[/tex]

[tex]\\ \rm\longmapsto Q=\dfrac{E}{V}[/tex]

[tex]\\ \rm\longmapsto Q=\dfrac{40}{8}[/tex]

[tex]\\ \rm\longmapsto Q=5C[/tex]

Hence total charge must be 5C.

Note:-

SI unit of charge is Coulomb (C)

Velocity problem 3: How far away can you run away from a lion if you travel at 3 m/s west and
you have only 15 seconds?

Answers

Answer Explanation:

d = vt

You will be 3(15) = 45 m west of where you began.

As we do not know where the lion is to begin with, it's hard to say where we will end up relative to it.

An oil tanker has a mass of 400,000 tonnes. It is 500m long and 40m wide.
A.What is the minimum depth of the harbor it requires.?
B. Calculate the downward force
C. State the upward force
D. Draw a diagram to show the forces acting on the tanker.

Answers

Archimedes' principle allows us to solve this problem, find:

a) the submerged part h = 2.04 m

b) the downward force W = 3.9 10⁹ N

c) the upward force B = 4 10⁸ N

d) The free-body diagram  attach

The parameters given

 *  The tanker mass  with oil M = 400000 Tonnes (10³ kg/1 tonn) = 4 10⁸ kg

  * The length and width of the tanker l = 500m and w= 40m

To find

   * the submerged part of the tanker

   * The force in the tanker

   * free body diagram

Fluid mechanics exercises, the  Archimedes' principle says that the hydrostatic thrust of a fluidIn   on a body is equal to the weight of the desalted liquid.

        B  = [tex]\rho \ g \ V_{body}[/tex]

Where ρ is the density of the fluid in this case water (ρ = 1000 kg /m³), ​​g is the acceleration of gravity (g = 9.80 m / s²) and V_{body}  is the volume of the tanker.

a) In the attached diagram we can see the forces involved, we apply the equilibrium equation

            B - W = 0

             

The volume of the submerged tanker is

          V_{body} = l w h

Where l and w are the length and width of the tanker and h is the submerged quantity

We substitute

           ρ g (l w h) = W

           [tex]h = \frac{W}{\rho \ g\ l \ w}[/tex]

We calculate

           h = 4 10⁸ / (10³ 9.8 500 40)

           h = 2.04 m

The submerged quantity of tanker using Archimedes' principle is

h = 2.04m

b) The downward force on the tanker's weight

          W = m g

          W = 4 10⁸ 9.80

          W = 3.9 10⁹ N

c) the upward force is the thrust

            B = ρ g

            B = 1000 9.8 (500 40 2.04)

            B = 4 10⁸ N

d) in the attachment we can see a free body diagram with the two forces on the tanker: the weight down and the fluid push up

Archimedes' principle allows finding the submerged part of the tanker

h = 2.04 m

Learn more about Archimedes' principle here:

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In the construction of a bridge kinetic energy was used and now has what kind of energy?Solar Energy, Gravitational Potential Energy, Mechanical Energy, Thermal Energy​

Answers

Answer:

potential energy

Explanation:

Based on energy transformation

Why did Thomson observe two glowing dots when he put neon gas into a
cathode-ray tube?

Answers

Answer:

Electrons accelerated to high velocities travel in straight lines through an empty cathode ray tube and strike the glass wall of the tube, causing excited atoms to fluoresce or glow.

automotive technology

Answers

lol what is this question

The boiling point of lauric acid is 298.9°C. Its melting point is 43.2°C. At room temperature (~25°C), lauric acid is in which state?
A. solid
B. intermediate between solid and liquid
C. liquid
D. intermediate between liquid and gas​

Answers

Answer

A. solid

Explanation

We have that At room temperature (~25°C), lauric acid is in a

Solid state

Option A

From the question we are told that

The boiling point of lauric acid is 298.9°C. Its melting point is 43.2°C.

It is important to note that Room temperature is is at 25C

Generally

if lauric acid 298.9°C and melting point is 43.2°C

Therefore at room temperature low than Boiling and melting point  lauric acid is

Solid

in conclusion

At room temperature (~25°C), lauric acid is in a Solid state

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What kind of energy involves the flow of charged particles?

Answers

Answer:

Electrical energy is answer

Explanation:

hope it helps

Mark me as brainliest plz.

Answer:

c

Explanation:

it is the Answer

what is displacement?​

Answers

Explanation:

displacement is a vector quantity that refers how far out of place an object.

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