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1 year ago

A force of 570 N keeps a certain ideal spring stretched a distance of 0.900 m.

1 answer:

3 0

Hooke's law states that the elongation of a material is proportional to the applied stress within the elastic limits of the material.

Using Hooke's law

F = kx

570 = k * 0.9

k = 712.5 N/m

(a) energy at x = 0.8 m

U = 0.5 k x^2 = 0.5* 712.8* 0.8^2

U = 228 J

(b) U = 0.5 * 712.8* 0.09^2

U = 2.887 J

Elastic potential energy is the potential energy released as a result of the deformation of an elastic body. B. Spring extension is stored. This is equal to the work done to stretch the spring, which depends on the spring constant k and the stretched distance. The force exerted by the spring is the restoring force that helps return the spring to its equilibrium length.

Learn more about Potential energy here:- brainly.com/question/14427111

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Jeff is listening to the radio. He knows that the radio produces sound energy because

Likurg_2 [28]

Answer:

A. he can hear music coming from the radio.

Explanation:

Jeff knows that the radio produces sound energy because he can hear music coming from the radio.

The music from the radio is a form of sound energy.

Sound energy is a form of energy dissipated from a body and can be discerned by humans.
Sound is a mechanical wave that requires a material medium for its propagation.
It travels by series of rarefaction and compression along its path of motion.
Since sound energy is an energy in motion, it is a kinetic energy.
It travels parallel to its source and therefore, it is a longitudinal wave.

8 0

3 years ago

Velocity of a wave is the. (a) Wavelength x frequency (b) Wave number x frequency (c) Time period x phase (d) None

Elden [556K]

Answer:

option (a)

Explanation:

Wavelength is defined as the distance traveled by the wave in one complete oscillation.

The number of oscillations completed in one second is called frequency.

The relation for the wave velocity is given by

wave velocity = frequency x wavelength

4 0

3 years ago

What is the cooling power P? Recall that the rate at which energy is removed, also called the cooling power, was described earli

gayaneshka [121]

Answer:

36.667

Explanation:

(2.2*10^4)/(10*60)

3 0

3 years ago

1. In what year did India (our second most populous country) begin to produce more energy than Spain?

choli [55]

Answers:

<h2>1) Sometime in 2014 </h2>

As we can see in the graph in 2014 there is an intersection between the lines that represent the wind energy production of Spain and India, then the production of India is increased, while that of Spain remains constant.

<h2>2) Germany </h2>

As we can see in the graph in 2000 Germany was the number 1 producer of gigawatts of wind energy. In addition it is observed a rapid growth and increase in production compared to the other countries.

<h2>3) In 2006, America was producing over 10 GW and began a steep climb in wind energy production.</h2>

In 1997, America began with a constant and very small energy production, which was growing gradually until 2006, when its rapid growth in production began to exceed the other countries shown in the graph.

<h2>4) Years</h2>

When a function is plotted, generally the independent variable, whose value is previously set, is represented on the X axis.

In this sense, the variable found on the X axis of this graph is Years.

<h2>5) Wind Energy Capacity </h2>

When a function is plotted, generally the dependent variable (which is generated from the independent variable) is represented on the Y axis.

In this sense, the variable found on the Y axis of this graph is Wind Energy Capacity.

<h2>6) Gigawatts (GW) </h2>

We already know the dependent variable in this <u>Wind Energy Capacity vs Years</u> graph is Wind Energy Capacity, and its Unit is Gigawatts (GW).

Where $1GW=10^{6} W$

<h2>7) Both onshore and offshore wind sources </h2>

When we talk about scientific experimentation and representing data, the Control Variable is the one that remains constant (it does not change during the investigation).

According to the explanation above, the option that fits with this characteristic is: Both onshore and offshore wind sources

If we want to make a linear interpolation to estimate how much wind energy capacity was there in the United States in the middle of 2011, firstly we need to <u>find two points where the value we want to find is in the middle.</u>

These points (X,Y) are:

P1: (2011,48) and P2: (2012,60)

Where X1:2011, Y1:48, X2:2012, Y2:60

Now we find the <u>slope</u> $m$ of the line with the following equation:

$m=\frac{Y2 - Y1}{X2 - X1}$

$m=\frac{60 - 48}{2012 - 2011}=12$

Then, with this value of the slope we can write the <u>equation of the line</u> and find the <u>intersection point</u> $b$ with one of the given points (we will use P1):

$Y=mX+b$

$48=12(2011)+b$

$b=-24084$

With this value and the slope, we can find Y for X=2011.5 (we need to know the wind capacity in the middle of 2011):

$Y=(12)(2011.5)-24084$

$Y=54$ This is the e<u>stimated result</u> 54 GW, and the option that is near this value is 55 GW

In this case we will apply a similar method as the previous answer, but estimating a prediction:

Let's find two points near the value we want to find. These points (X,Y) are:

P1: (2014,22) and P2: (2016,29)

Where X1:2014, Y1:22, X2:2016, Y2:29

Now we find the <u>slope</u> $m$ of the line with the following equation:

$m=\frac{Y2 - Y1}{X2 - X1}$

$m=\frac{29 - 22}{2016 - 2014}=\frac{7}{2}$

Then, with this value of the slope we can write the <u>equation of the line</u> and find the <u>intersection point</u> $b$ with one of the given points (we will use P2):

$Y=mX+b$

$29=\frac{7}{2}(2016)+b$

$b=-7027$

With this value and the slope, we can find Y for X=2020 (we need to estimate the expected wind capacity in 2020):

$Y=\frac{7}{2}(2020)-7027$

$Y=43$ This is the e<u>stimated result</u> 43 GW (note linear extrapolation is not as accurate as other methods), and the option that is near this value is 36 GW