Answer: Gases have three characteristic properties: (1) they are easy to compress, (2) they expand to fill their containers, and (3) they occupy far more space than the liquids or solids from which they form. An internal combustion engine provides a good example of the ease with which gases can be compressed.
Explanation:
Answer:
h=18.05 cm
Explanation:
Given that
m= 25 kg
K= 1300 N/m
x=26.4 cm
θ= 19.5 ∘
When the block just leave the spring then the speed of block = v m/s
From energy conservation
![\dfrac{1}{2}Kx^2=\dfrac{1}{2}mv^2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7DKx%5E2%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2)
![Kx^2=mv^2](https://tex.z-dn.net/?f=Kx%5E2%3Dmv%5E2)
![v=\sqrt{\dfrac{kx^2}{m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7Bkx%5E2%7D%7Bm%7D%7D)
By putting the values
![v=\sqrt{\dfrac{kx^2}{m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7Bkx%5E2%7D%7Bm%7D%7D)
![v=\sqrt{\dfrac{1300\times 0.264^2}{25}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7B1300%5Ctimes%200.264%5E2%7D%7B25%7D%7D)
v=1.9 m/s
When block reach at the maximum height(h) position then the final speed of the block will be zero.
We know that
![V_f^2=V_i^2-2gh](https://tex.z-dn.net/?f=V_f%5E2%3DV_i%5E2-2gh)
By putting the values
![0^2=1.9^2-2\times 10\times h](https://tex.z-dn.net/?f=0%5E2%3D1.9%5E2-2%5Ctimes%2010%5Ctimes%20h)
h=0.1805 m
h=18.05 cm
Explanation:
The momentum of the three objects are as follow :
11 kg-m/s, -65 kg-m/s and -100 kg-m/s
Before collision, the momentum of the system is :
![P_i=11+(-65)+(-100)\\\\P_i=-154\ kg-m/s](https://tex.z-dn.net/?f=P_i%3D11%2B%28-65%29%2B%28-100%29%5C%5C%5C%5CP_i%3D-154%5C%20kg-m%2Fs)
After collison, they move together. It means it is a case of inelastic collision. In this type of collision, the momentum of the system remains conserved.
It would mean that, after collision, momentum of the system is equal to the initial momentum.
Hence, final momentum = -154 kg-m/s.
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