The potential energy of the spring is 6.75 J
The elastic potential energy stored in the spring is given by the equation:
![E= \frac{1}{2} kx^2](https://tex.z-dn.net/?f=E%3D%20%5Cfrac%7B1%7D%7B2%7D%20kx%5E2)
where;
k is the spring constant
x is the compression/stretching of the string
In this problem, we have the spring as follows:
k = 150 N/m is the spring constant
x = 0.3 m is the compression
Substituting in the equation, we get
![E=\frac{1}{2} (150) (0.3)^2](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B2%7D%20%28150%29%20%280.3%29%5E2)
![E=6.75J](https://tex.z-dn.net/?f=E%3D6.75J)
Therefore. the elastic potential energy stored in the spring is 6.75J .
Learn more about potential energy here:
brainly.com/question/10770261
#SPJ4
This problems a perfect application for this acceleration formula:
Distance = (1/2) (acceleration) (time)² .
During the speeding-up half: 1,600 meters = (1/2) (1.3 m/s²) T²
During the slowing-down half: 1,600 meters = (1/2) (1.3 m/s²) T²
Pick either half, and divide each side by 0.65 m/s²:
T² = (1600 m) / (0.65 m/s²)
T = square root of (1600 / 0.65) seconds
Time for the total trip between the stations is double that time.
T = 2 √(1600/0.65) = <em>99.2 seconds</em> (rounded)
Answer:
The radius of the earth is 6,371 km.
The average Earth-Sun distance is 152.09 million km
How many Earths would fit between Earth and the Sun if they are separated by their average distance? Approximately 11,936 Earths.
I didn't really understand the last part, but if you don't get a better answer please mark me as brainliest.
Explanation:
When a constant force acts upon an object the acceleration of the object varies inversely with its mass.
![a\propto \dfrac{1}{m}](https://tex.z-dn.net/?f=a%5Cpropto%20%5Cdfrac%7B1%7D%7Bm%7D)
or
![\dfrac{a_1}{a_2}=\dfrac{m_2}{m_1}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cdfrac%7Bm_2%7D%7Bm_1%7D)
If m₁ = 21 kg, a₁ = 3 m/s², m₂ = 9 kg
We need to find a₂
So,
![a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{21\times 3}{9}\\\\a_2=7\ m/s^2](https://tex.z-dn.net/?f=a_2%3D%5Cdfrac%7Bm_1a_1%7D%7Bm_2%7D%5C%5C%5C%5Ca_2%3D%5Cdfrac%7B21%5Ctimes%203%7D%7B9%7D%5C%5C%5C%5Ca_2%3D7%5C%20m%2Fs%5E2)
So, if mass is 9 kg, its acceleration is 7 m/s².