g uppose that 3 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 45 cm. (a) How much work is needed to stretch the spring from 35 cm to 37 cm? (Round your answer to two decimal places.) .02 Incorrect: Your answer is incorrect. J (b) How far beyond its natural length will a force of 10 N keep the spring stretched? (Round your answer one decimal place.)

Answers

Answer 1

Answer:

W= 0.319992 J  and distance is 3.75 cm

Explanation:

The energy needed to stretch the spring from 30 cm to 45 cm = 3 J

Now we required to find the requirement of energy when the spring is stretched from 35 cm to 37 cm.

So first find the work done to stretch the spring from 35 cm to 45 cm.

Work done, w = (1/2) kx^2

3 = (1/2)k(0.45 – 0.30)^2

k = 266.66 N/m

now, x1 = 0.35 – 0.30 = 0.05m

x2 = 0.37 – 0.30 = 0.07m

Now the amount of work done to stretch from 35cm to 37.

w = (1/2) k (x2^2 – x1^2)

w = (1/2) (266.66) (0.07^2 – 0.05^2 )

w= 0.319992 J

(b). Given F = 10 N

F = kx

x = F / k

x = 10 / 266.66

x = 0.0375m

x = 3.75 cm

Thus, distance is 3.75cm


Related Questions

Which statement illustrates how engineering has influences society

Answers

Answer:

I think C but I'm not sure

The statement that illustrates how engineering has influences society is nuclear power plants provide cheap electricity to power people's homes. The correct option is A.

This claim serves as an example of how engineering has impacted society. Because they offer a practical and economical source of electricity for lighting up homes and other infrastructure, nuclear power plants have had a big impact on society.

The ability to create electricity from the energy held in atoms thanks to improvements in nuclear technology has boosted the availability and affordability of power for users.

This illustrates how advances in engineering can influence and enhance how society fulfils its energy needs.

Thus, the correct option is A.

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Select the correct answer. As per the new modified method of classifying the magnitude of stars, what kind of values were the brightest stars assigned? A. negative values B. positive values C. fractional values D. letters

Answers

Answer:

A. Negative values

Explanation:

Answer:

A-negative values

Explanation:

As per the new modified method of classifying the magnitude of stars, what kind of values were the brightest stars assigned?

A.

negative values

B.

positive values

C.

fractional values

D.

letters

can anyone help me with this.

Answers

Answer:

A. smaller arteries

Explanation:

A. because it makes no sence.

Which has the fastest wave speed, a high frequency sound or a low frequency sound?

Answers

Answer:

high frequent sound

Explanation:

because if its low than its slower.

Add these two velocity vectors to find the magnitude of their resultant vector. A. 4.6 meters/second B. 0.8 meters/second C. 2.2 meters/second D. 7.0 meters/second

Answers

The magnitude of the resultant vector is D, 7.0 meters/second, and the direction is to the left.

How to find magnitude?

To add these two velocity vectors, find the magnitude and direction of each vector. The magnitude of the first vector is 5.8 meters/second, and the direction is to the right. The magnitude of the second vector is 1.2 meters/second, and the direction is to the left.

To find the magnitude of the resultant vector, add the magnitudes of the two vectors. The magnitude of the resultant vector is 5.8 meters/second + 1.2 meters/second = 7.0 meters/second.

To find the direction of the resultant vector, find the angle between the two vectors. The angle between the two vectors is 180 degrees. The direction of the resultant vector is 180 degrees from the first vector, which is to the left.

Therefore, the magnitude of the resultant vector is 7.0 meters/second, and the direction is to the left.

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How many meters are in 5.0 cm?
500
0.050
0.0005
0.5

Answers

Explanation:

100cm=1m

5 cm= x

cross multiple

x=5/100

=0.05m

There are 0.05 meters in 5 cm. The correct option among the following is option (B).

In the metric system, a centimeter (cm) is a unit of length. It is one centimeter (1 cm = 0.01 m) in size. Small distances or measurements, such as the length, height, or width of items, are frequently measured in centimeters. Due to its practical size for many routine measurements, it is also frequently employed in scientific and mathematical computations.

In the International System of Units (SI), the meter serves as the base unit and is frequently used to measure lengths, heights, and other measurements. It serves as the basic building block for other metric units like centimeters (one meter equals one hundred centimeters) and kilometers (one kilometer equals one thousand meters).

So, to convert 5.0 cm to meters:

5.0 cm ÷ 100 = 0.05 m

Hence, 5.0 cm is equal to 0.05 meters. The correct option is (B).

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Compare How does
the horse's average speed
from 60 s to 120 s compare
to its average speed from
120 s to 180 s?

Answers

Answer:

3.75 m/s

Explanation:

Formula:

Average Speed = Total Distance / Total Time

Given:

Total Distance = 150 m

Total Time = 160 - 120 = 40 s

To Find:

Average Speed

Solution:

Average Speed = 150/40

Average Speed = 3.75 m/s

Thermal effects refers to the:

Answers

Answer:

removal of heat by cooling towers

Yup I agree with that answer

The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

Answers

I think c but I’m not sure so don’t use mine

A car runs around a circular race track from the point A to diametrically opposite point B The radius of the circle is ‘r’ . The distance traveled by the car is ________ the displacement of the car is _________ show your work!

Answers

Answer:

Distance = πr

Displacement = 2r

Explanation:

First we need to find the distance covered by the car. As the car is travelling on a circular path and it traveled to a diametrically opposite point on the circular path. Therefore, the distance covered by the car must be the half value of the circumference.

Distance = Circumference/2

Distance = 2πr/2

Distance = πr

Since, displacement is the straight line distance between two points. So, the displacement in moving from a point to its diametrically opposite point must be equal to the diameter of circle:

Displacement = Diameter

Displacement = 2r

Organized procedure to study something under controlled conditions

Answers

what’s your question to that

does potential thermal energy affect the temperature of an object?

Answers

Answer:

Yes, it does

Explanation:

There are not many explanations, but when thermal energy is shined on an object it usually starts to heat up.

It is easier to open the lid of a can using a spoon why?​

Answers

Answer:

It depends on how you use the spoon...

if you are keeping one end of the spoon and pressing other end, the force you provide is supported by the force due to gravity... Hence it is easy to open this way :)

F + G ... Where F is the force you provide and G is the force due to gravity.

Which of the following is the best thermal conductor?
A. Fiberglass.
B. Stainless.
C. Steel.
D. Wood.
E. Silver

Answers

Answer:

steel because being alloy in metal it has free electrons in metals


A stone is thrown vertically downward with an initial speed of 12.0 m/s from the top of a
building. The stone takes 1.54 s to reach the ground.

Answers

The question is incomplete; However, the height from which the stone is thrown is most likely to be what's required of the question

Answer:

See Explanation

Explanation:

Given

[tex]Initial\ Speed, u = 12.0m/s[/tex]

[tex]Time, t = 1.54\ s[/tex]

Required

Determine the height

This question will be answered using the following equation of motion;

[tex]S = ut + \frac{1}{2}gt^2[/tex]

Take g as 9.8

This gives:

[tex]S = 12 * 1.54 + \frac{1}{2} * 9.8 * 1.54^2[/tex]

[tex]S = 12 * 1.54 + \frac{1}{2} * 9.8 * 2.3716[/tex]

[tex]S = 18.48 + 11.62084[/tex]

[tex]S = 30.10084[/tex]

[tex]S = 30.1\ m[/tex] (Approximated)

Hence; Height = 30.1m

Two identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 23.7 m/s to each pellet. Gun A is fired straight upward, with the pellet going up and then falling back down, eventually hitting the ground beneath the cliff. Gun B is fired straight downward. In the absence of air resistance, how long after pellet B hits the ground does pellet A hit the ground

Answers

Answer:

Ta - Tb = 4.84 sec (approx)

Explanation:

Time taken by A = Time taken By B + Extra time

Ta - Tb = T

We know that

Time (T) = [v-u] /a ...................[a=9.8 m/s²]

So,

Ta - Tb = [v-u] /a

Ta - Tb = [-23.7-23.7] /9.8

Ta - Tb = 4.8367 sec

Ta - Tb = 4.84 sec (approx)

What the answers due in 2 min

Answers

Hello ┬┴┬┴┤◕3◕)づ├┬┴┬┴

The answer is 3 m

the gap in between 4s and 6s is 5s

you follow your finger up to the purple like, and follow the purple line in a straight line to the left. It ends at 3m and that is your answer.

Since Allura Red is red in color, why did we choose to use monitor the wavelength of 470 nm? does allura red transmit or absorb red light ?

Answers

Answer:

Wavelenght of light in the range of 470nm is that of blue colourand Allura red absorbs this blue light and reflects the red light

Then we can say Allura red absorbs all light colours but reflect red

Allura is red due to the fact that it absorbs the light that's in the wavelength.

From the complete information, it should be noted that even though allura red is red in color, we choose to use monitor the wavelength of 470nm because absorbs the light that's in the wavelength range of blue color and thereby reflects the red wavelength.

It should also be noted that the allura red absorbs all the other wavelengths. It doesn't absorb the red light but rather it reflects it.

In conclusion, the red light will be reflected.

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What potential difference is required to produce a current of 0.5 A in a bulb of power 60 W​

Answers

Answer:

ans is 120

Explanation:

I= 0.5 A

p= 60w

p=Iv

60/0.5

v= 120

Answer:

V=P/I

V=60/0.5

V=120

Explanaton:

the formula P=IV is converted to V=P/I to make V (voltage) the subject. then sub in the values to get your answer

note that potential difference is same as voltage

2. The components of vector A are given as follows:
Ax = 5.6 Ay = -4.7
What is the angle between vector A and positive direction of x-axis?​

Answers

Answer:

50 degree.

Explanation:

Given that the components of vector A are given as follows: Ax = 5.6 Ay = -4.7

The angle between vector A and B in the positive direction of x-axis will be achieved by using the formula:

Tan Ø = Ay/Ax

Substitute Ay and Ax into the formula above.

Tan Ø = -4.7 / 5.6

Tan Ø = -0.839

Ø = tan^-1(-0. 839)

Ø = - 40 degree

Therefore, the angle between vector A and B positive direction of x-axis will be

90 - 40 = 50 degree.

What is the speed of an ocean wave if it’s wavelength is 5.0 m and it’s frequency is 3/s?

Answers

Answer:

15 m/s

Explanation:

We know that [tex]v = f * d[/tex] where f = frequency & d = wavelength .

So here.

Wavelength = 5 m

Frequency = 3 s⁻¹

Hence Speed = 5 * 3 = 15 m/s

How much power is needed to lift the 200-N object to a height of 10 m in 4 s?

Answers

Answer:

500 watts

Explanation:

Recall that the definition of power is the amount of energy delivered per unit of time.

In our case, the energy delivered is potential energy which we can estimate as the product of the weight of the object times the distance it is lifted above ground:

200 N x 10 m = 2000  Nm

then the power is the quotient of this potential energy divided the time it took to lift the object to that position:

Power = 2000 / 4   Nm/s = 500 Nm/s = 500 watts

Newtons third law of motion states that if a force is exerted on an object, another force occurs that, A. is equal in speed and opposite direction
B. is equal in side an opposite in direction
C. is in the same direction and speed
D. is in the same direction and size.​

Answers

Answer:

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

Explanation:

Newtons third law of motion states that if a force is exerted on an object, another force occurs that is equal in side an opposite in direction.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

Newtons third law of motion states that if a force is exerted on an object, another force occurs that is equal in side an opposite in direction.

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how many legs a cow has​

Answers

the cow has 4 legs :)

What are the benefits of evolution for the human population?

Answers

Answer:

I hope you fall down a 40 floor hotel resort onto the porch, and explode into the gushing body you are!

Explanation:

A squirrel is running a race where she is on track for her average velocity to be 6.0 m/s. She is distracted by a dummy of an attractive male squirrel and pauses for 3.0 s. As a result her average velocity ends up being 5.0 m/s instead. What is the length of the race? [HINT: construct two equations with the same two unknowns in them and you can solve the system of equations]

Answers

Answer:

90 m

Explanation:

There are two unknowns: the amount of time the squirrel spent running, and the length of the race.  Let's call these t and x, respectively.

The average velocity is the total distance divided by the total time.

5.0 m/s = x / (t + 3.0)

The total distance is the time she spent running times the speed she ran at.

x = (6.0 m/s) t

Substitute and solve:

5 = 6t / (t + 3)

5 (t + 3) = 6t

5t + 15 = 6t

t = 15

She ran for 15 seconds (not including the 3 seconds she stopped).  So the length of the race is:

x = (6.0 m/s) (15 s)

x = 90 m

Meter #1 can measure voltage to within 0.1 volts. Meter #2 can measure voltage to within 0.01 volts.
A.) Which meter has the greatest precision?
B.) Which meter is more accurate? Why?

Answers

Meter #2 is more precise.

There's no information here that tells us which meter is more accurate.

Juan, a biologist, notices that a particular group of hummingbirds leaves during the colder winter months and returns during the warmer spring months. Juan hypothesizes that the birds fly south to locations with warmer weather and blooming flowers during the winter months. Which procedure should Juan use to test his hypothesis?​

Answers

Answer:

C. Tag the hummingbirds with transmitters and track their movement.

Explanation:

Hypothesis refers to the conclusion of the analysis found on the grounds of certain observations. The hypothesis is further tested and verified by performing certain experiments. In the given excerpt, Juan hypothesizes that certain group of hummingbirds fly to certain locations depending upon the season. To test the hypothesis, Juan can experiment with finding and tracking the hummingbirds and the direction in which they fly. Tagging the hummingbirds with transmitters and tracking their movement would help Juan concluding about the hypothesis.

Answer:

Tag the hummingbirds with transmitters and track their movement

Explanation:

The unit of the Power of a correction glass is the Diopter (D), As you know the Di ressed by means of a meter and thus we could express it as:
A. TC/(Ns)
B. Cv/N
C. J/N
D. None of above
where T- Tesla, v-volt, C-Coulomb, J-Joule

Answers

Answer:

reviewing the final answers the correct one is D none of the above

Explanation:

Diotria is highly used in ophthalmology and is related to distance by

       P = 1 / f

where f is the focal length of the lens in meters

Therefore from the previous definition the unit of dioctry is the inverse of the meter

   [P] = [1 / m]

when reviewing the final answers the correct one is D none of the above

sort the properties of metalloids into the correct categories

Answers

Boron

Sillicon

Germanium

Arsenic

Antimony

Tellurium

Pelorium

Metallic characteristics: lustrous, solid at room temperature

In-between characteristics: semiconducting, amphoteric

Nonmetallic: brittle

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