Answer:
![\boxed {\boxed {\sf 5.22 \ m}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%205.22%20%5C%20m%7D%7D)
Explanation:
Gravitational potential energy is the energy an object possesses due to its position. It is calculated using the following formula:
![E_P=mgh](https://tex.z-dn.net/?f=E_P%3Dmgh)
Where <em>m</em> is the mass, <em>g</em> is the acceleration due to gravity, and <em>h</em> is the height.
The object has a mass of 8.72 kilograms. Assuming this occurs on Earth, the acceleration due to gravity is 9.8 meters per second squared. The object gains 446 Joules of potential energy.
Let's convert the units of Joules. This makes the process of canceling units simpler later on. 1 Joule is equal to 1 kilogram meter squared per second squared. The object gains 446 J, which is equal to 446 kg *m²/s².
- EP= 446 kg*m²/s²
- m= 8.72 kg
- g= 9.8 m/s²
Substitute the values into the formula.
![446 \ kg*m^2/s^2 = 8.72 \ kg * 9.8 \ m/s^2 *h](https://tex.z-dn.net/?f=446%20%5C%20kg%2Am%5E2%2Fs%5E2%20%3D%208.72%20%5C%20kg%20%2A%209.8%20%5C%20m%2Fs%5E2%20%2Ah)
Multiply on the right side of the equation.
![446 \ kg*m^2/s^2 = 85.456 kg*m/s^2 *h](https://tex.z-dn.net/?f=446%20%5C%20kg%2Am%5E2%2Fs%5E2%20%3D%2085.456%20kg%2Am%2Fs%5E2%20%2Ah)
We are solving for the height, so we must isolate the variable h. It is being multiplied by 85.456 kg*m/s². The inverse operation of multiplication is division, so we divide both sides by this value.
![\frac{ 446 \ kg*m^2/s^2}{85.456 kg*m/s^2} = \frac{85.456 kg*m/s^2 *h}{85.456 kg*m/s^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%20446%20%5C%20kg%2Am%5E2%2Fs%5E2%7D%7B85.456%20kg%2Am%2Fs%5E2%7D%20%3D%20%5Cfrac%7B85.456%20kg%2Am%2Fs%5E2%20%2Ah%7D%7B85.456%20kg%2Am%2Fs%5E2%7D)
![\frac{ 446 \ kg*m^2/s^2}{85.456 kg*m/s^2} =h](https://tex.z-dn.net/?f=%5Cfrac%7B%20446%20%5C%20kg%2Am%5E2%2Fs%5E2%7D%7B85.456%20kg%2Am%2Fs%5E2%7D%20%3Dh)
The units of kg*m/s² cancel, leaving meters as our unit.
![\frac{ 446 }{85.456 } \ m =h](https://tex.z-dn.net/?f=%5Cfrac%7B%20446%20%7D%7B85.456%20%7D%20%20%5C%20m%20%3Dh)
![5.2190601011 \ m =h](https://tex.z-dn.net/?f=5.2190601011%20%5C%20m%20%3Dh)
The original measurements of mass and potential energy have 3 significant figures, so our answer must have the same.
For the number we calculated, that is the hundredths place. The 9 in the thousandths place to the right tells us to round the 1 up to a 2.
![5.22 \ m \approx h](https://tex.z-dn.net/?f=5.22%20%5C%20m%20%5Capprox%20h)
The object was lifted to a height of approximately <u>5.22 meters.</u>
Answer:
Good nutritional habits are important to live a long and healthy life. Unhealthy eating habits like having too much sugar, salt, or fat in your diet can raise your risk for certain diseases. Not eating enough or eating too much both have different effects. Healthy eating can lower your risk for heart disease, stroke, diabetes, and other health conditions. A well balanced diet that satisfies your needs is sure to improve your way of life.
Explanation:
kinda just re-worded the stuff I saw on google
Answer:
radio waves
Explanation:
radio waves have lower frequency than visible light