Answer:
(a). The spring compressed is
.
(b). The acceleration is 1.5 g.
Explanation:
Given that,
Acceleration = a
mass = m
spring constant = k
(a). We need to calculate the spring compressed
Using balance equation
![kx-mg=ma](https://tex.z-dn.net/?f=kx-mg%3Dma)
....(I)
The spring compressed is
.
(b). If the compression is 2.5 times larger than it is when the mass sits in a still elevator,
The compression is given by
![x=2.5\times x_{0}](https://tex.z-dn.net/?f=x%3D2.5%5Ctimes%20x_%7B0%7D)
Here, acceleration is zero
So, ![x=2.5\times\dfrac{mg}{k}](https://tex.z-dn.net/?f=x%3D2.5%5Ctimes%5Cdfrac%7Bmg%7D%7Bk%7D)
We need to calculate the acceleration
Put the value of x in equation (I)
![2.5\times \dfrac{mg}{k}=\dfrac{ma+mg}{k}](https://tex.z-dn.net/?f=2.5%5Ctimes%20%5Cdfrac%7Bmg%7D%7Bk%7D%3D%5Cdfrac%7Bma%2Bmg%7D%7Bk%7D)
![2.5\times\dfrac{mg}{k}=\dfrac{m}{k}(a+g)](https://tex.z-dn.net/?f=2.5%5Ctimes%5Cdfrac%7Bmg%7D%7Bk%7D%3D%5Cdfrac%7Bm%7D%7Bk%7D%28a%2Bg%29)
![a=2.5g-g](https://tex.z-dn.net/?f=a%3D2.5g-g)
![a=1.5g](https://tex.z-dn.net/?f=a%3D1.5g)
Hence, (a). The spring compressed is
.
(b). The acceleration is 1.5 g.
The answer isn't here. All sites say the answer is Only animals are composed of cells. More than one site says this.
Holes I helped
The liquid is called condensation and its generally formed when water vaor in the air cools down rapidly and collects around or on an object forming water droplets.
Answer:
The change in potential energy and kinetic energy are 980 MJ and 148.3 MJ.
Explanation:
Given that,
Mass of aircraft = 10000 kg
Speed = 620 km/h = 172.22 m/s
Altitude = 10 km = 1000 m
We calculate the change in potential energy
![\Delta P.E=mg(h_{2}-h_{1})](https://tex.z-dn.net/?f=%5CDelta%20P.E%3Dmg%28h_%7B2%7D-h_%7B1%7D%29)
![\Delta P.E=10000\times9.8\times(10000-0)](https://tex.z-dn.net/?f=%5CDelta%20P.E%3D10000%5Ctimes9.8%5Ctimes%2810000-0%29)
![\Delta P.E=10000\times9.8\times10000](https://tex.z-dn.net/?f=%5CDelta%20P.E%3D10000%5Ctimes9.8%5Ctimes10000)
![\Delta P.E=980000000\ J](https://tex.z-dn.net/?f=%5CDelta%20P.E%3D980000000%5C%20J)
![\Delta P.E=980\ MJ](https://tex.z-dn.net/?f=%5CDelta%20P.E%3D980%5C%20MJ)
For g = 10 m/s²,
The change in potential energy will be 1000 MJ.
We calculate the change in kinetic energy
![\Delta K.E=\dfrac{1}{2}m(v_{2}^2-v_{1}^2)](https://tex.z-dn.net/?f=%5CDelta%20K.E%3D%5Cdfrac%7B1%7D%7B2%7Dm%28v_%7B2%7D%5E2-v_%7B1%7D%5E2%29)
![\Delta K.E=\dfrac{1}{2}\times10000\times(172.22^2-0^2)](https://tex.z-dn.net/?f=%5CDelta%20K.E%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes10000%5Ctimes%28172.22%5E2-0%5E2%29)
![\Delta K.E=\dfrac{1}{2}\times10000\times(172.22^2)](https://tex.z-dn.net/?f=%5CDelta%20K.E%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes10000%5Ctimes%28172.22%5E2%29)
![\Delta K.E=148298642\ J](https://tex.z-dn.net/?f=%5CDelta%20K.E%3D148298642%5C%20J)
![\Delta K.E=148.3\ MJ](https://tex.z-dn.net/?f=%5CDelta%20K.E%3D148.3%5C%20MJ)
For g = 10 m/s²,
The change in kinetic energy will be 150 MJ.
Hence, The change in potential energy and kinetic energy are 980 MJ and 148.3 MJ.
Answer:
Fundamental frequency in the string will be 25 Hz
Explanation:
We have given length of the string L = 1.2 m
Speed of the wave on the string v = 60 m/sec
We have to find the fundamental frequency
Fundamental frequency in the string is equal to
, here v is velocity on the string and L is the length of the string
So frequency will be equal to ![f=\frac{v}{2L}=\frac{60}{2\times 1.2}=25Hz](https://tex.z-dn.net/?f=f%3D%5Cfrac%7Bv%7D%7B2L%7D%3D%5Cfrac%7B60%7D%7B2%5Ctimes%201.2%7D%3D25Hz)
So fundamental frequency will be 25 Hz