Answer:
Reduce the friction at the surface
Explanation:
If you can reduce the friction between the load and the plane less effort will be required as you are not having to apply effort to overcome friction.
-- The resistance of the heater is (volts/current) = 5 ohms
-- The heating (RMS) value of a sinusoidal AC is V(peak)/√2 . For this particular alternator, V(peak)=100V, so the heating (RMS) equivalent is 70.71 V.
-- The heating power delivered to the electric heater is (E²/R).
Power = (100/√2)² / 5
Power = 5,000 / 5
<u>Power = 1,000 watts </u>
The kinetic energy of the mass at the instant it passes back through its equilibrium position is about 1.20 J
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Further explanation</h3>
Let's recall Elastic Potential Energy formula as follows:
![\boxed{E_p = \frac{1}{2}k x^2}](https://tex.z-dn.net/?f=%5Cboxed%7BE_p%20%3D%20%5Cfrac%7B1%7D%7B2%7Dk%20x%5E2%7D)
where:
<em>Ep = elastic potential energy ( J )</em>
<em>k = spring constant ( N/m )</em>
<em>x = spring extension ( compression ) ( m )</em>
Let us now tackle the problem!
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<u>Given:</u>
mass of object = m = 1.25 kg
initial extension = x = 0.0275 m
final extension = x' = 0.0735 - 0.0275 = 0.0460 m
<u>Asked:</u>
kinetic energy = Ek = ?
<u>Solution:</u>
<em>Firstly , we will calculate the spring constant by using </em><em>Hooke's Law</em><em> as follows:</em>
![F = k x](https://tex.z-dn.net/?f=F%20%3D%20k%20x)
![mg = k x](https://tex.z-dn.net/?f=mg%20%3D%20k%20x)
![k = mg \div x](https://tex.z-dn.net/?f=k%20%3D%20mg%20%5Cdiv%20x)
![k = 1.25(9.8) \div 0.0275](https://tex.z-dn.net/?f=k%20%3D%201.25%289.8%29%20%5Cdiv%200.0275)
![k = 445 \frac{5}{11} \texttt{ N/m}](https://tex.z-dn.net/?f=k%20%3D%20445%20%5Cfrac%7B5%7D%7B11%7D%20%5Ctexttt%7B%20N%2Fm%7D)
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<em>Next , we will use </em><em>Conservation of Energy</em><em> formula to solve this problem:</em>
![Ep_1 + Ek_1 = Ep_2 + Ek_2](https://tex.z-dn.net/?f=Ep_1%20%2B%20Ek_1%20%3D%20Ep_2%20%2B%20Ek_2)
![\frac{1}{2}k (x')^2 + mgh + 0 = \frac{1}{2}k x^2 + Ek](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dk%20%28x%27%29%5E2%20%2B%20mgh%20%2B%200%20%3D%20%5Cfrac%7B1%7D%7B2%7Dk%20x%5E2%20%2B%20Ek)
![Ek = \frac{1}{2}k (x')^2 + mgh - \frac{1}{2}k x^2](https://tex.z-dn.net/?f=Ek%20%3D%20%5Cfrac%7B1%7D%7B2%7Dk%20%28x%27%29%5E2%20%2B%20mgh%20-%20%5Cfrac%7B1%7D%7B2%7Dk%20x%5E2)
![Ek = \frac{1}{2}k ( (x')^2 - x^2 ) + mgh](https://tex.z-dn.net/?f=Ek%20%3D%20%5Cfrac%7B1%7D%7B2%7Dk%20%28%20%28x%27%29%5E2%20-%20x%5E2%20%29%20%2B%20mgh)
![Ek = \frac{1}{2}(445 \frac{5}{11}) ( 0.0460^2 - 0.0275^2 ) + 1.25(9.8)(0.0735)](https://tex.z-dn.net/?f=Ek%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28445%20%5Cfrac%7B5%7D%7B11%7D%29%20%28%200.0460%5E2%20-%200.0275%5E2%20%29%20%2B%201.25%289.8%29%280.0735%29)
![\boxed {Ek \approx 1.20 \texttt{ J}}](https://tex.z-dn.net/?f=%5Cboxed%20%7BEk%20%5Capprox%201.20%20%5Ctexttt%7B%20J%7D%7D)
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Learn more</h3>
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Elasticity
Italian physicist Alessandro Volta discovered that particular chemical reactions could produce electricity, and in 1800 he constructed the voltaic pile (an early electric battery) that produced a steady electric current, and so he was the first person to create a steady flow of electrical charge.
The presence of potential energy between particles supports the shape of a heating curve.
<h2>Potential energy and heating curve</h2>
The existence of potential energy between particles supports the shape of a heating curve because potential energy causes the heating curve flat as well as in curve form. The heating curves show how the temperature changes as a substance is heated up.
The potential energy of the molecules will increase anytime energy is being supplied to the system but the temperature is not increasing so when the heating curve go flat it means there is potential energy so we can conclude that the existence of potential energy between particles supports the shape of a heating curve.
Learn more about heating curve here: brainly.com/question/11991469
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