Answer:
The maximum height above the point of release is 11.653 m.
Explanation:
Given that,
Mass of block = 0.221 kg
Spring constant k = 5365 N/m
Distance x = 0.097 m
We need to calculate the height
Using stored energy in spring
...(I)
Using gravitational potential energy
....(II)
Using energy of conservation
![E_{i}=E_{f}](https://tex.z-dn.net/?f=E_%7Bi%7D%3DE_%7Bf%7D)
![U_{i}+U'_{i}=U_{f}+U'_{f}](https://tex.z-dn.net/?f=U_%7Bi%7D%2BU%27_%7Bi%7D%3DU_%7Bf%7D%2BU%27_%7Bf%7D)
![\dfrac{1}{2}kx^2+0=0+mgh](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dkx%5E2%2B0%3D0%2Bmgh)
![h=\dfrac{kx^2}{2mg}](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7Bkx%5E2%7D%7B2mg%7D)
Where, k = spring constant
m = mass of the block
x = distance
g = acceleration due to gravity
Put the value in the equation
![h=\dfrac{5365\times(0.097)^2}{2\times0.221\times9.8}](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7B5365%5Ctimes%280.097%29%5E2%7D%7B2%5Ctimes0.221%5Ctimes9.8%7D)
![h=11.653\ m](https://tex.z-dn.net/?f=h%3D11.653%5C%20m)
Hence, The maximum height above the point of release is 11.653 m.
A wave is characterized by the cyclic occurrences of crests and troughs. Wavelengthis defined as the distance between two consecutive troughs or two crests and the Frequency is defined as the number of cycles that pass through a point per second
It would destroy animals homes shelter etc. it also would make global warming go faster. Hope this helped :D
Answer:
T1 = 130N, T2 = 370N
Explanation:
In order for the system to be at rest, the sum of all forces must be zero and the torque around a point on the beam must be zero.
1. forces:
Let tension in rope 1 be T1 and in rope 2 be T2:
ma = T1 + T2 - 100N - 400N = 0
(1) T1 + T2 = 500N
2. torque around the center point of the beam:
τ = r x F = 5*T1 + 3*400N - 5*T2 = 0
(2) T1 - T2 = -240N
Solving both equations:
T1 = 130N
T2 = 370N