I’m pretty sure u have it right
Here is my step-by-step-work. Let me know if you have any questions! :)
Answer:
3.258 m/s
Explanation:
k = Spring constant = 263 N/m (Assumed, as it is not given)
x = Displacement of spring = 0.7 m (Assumed, as it is not given)
= Coefficient of friction = 0.4
Energy stored in spring is given by
![U=\dfrac{1}{2}kx^2\\\Rightarrow U=\dfrac{1}{2}\times 263\times 0.7^2\\\Rightarrow U=64.435\ J](https://tex.z-dn.net/?f=U%3D%5Cdfrac%7B1%7D%7B2%7Dkx%5E2%5C%5C%5CRightarrow%20U%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20263%5Ctimes%200.7%5E2%5C%5C%5CRightarrow%20U%3D64.435%5C%20J)
As the energy in the system is conserved we have
![\dfrac{1}{2}mv^2=U-\mu mgx\\\Rightarrow v=\sqrt{2\dfrac{U-\mu mgx}{m}}\\\Rightarrow v=\sqrt{2\dfrac{64.435-0.4\times 8\times 9.81\times 0.7}{8}}\\\Rightarrow v=3.258\ m/s](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%3DU-%5Cmu%20mgx%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B2%5Cdfrac%7BU-%5Cmu%20mgx%7D%7Bm%7D%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B2%5Cdfrac%7B64.435-0.4%5Ctimes%208%5Ctimes%209.81%5Ctimes%200.7%7D%7B8%7D%7D%5C%5C%5CRightarrow%20v%3D3.258%5C%20m%2Fs)
The speed of the 8 kg block just before collision is 3.258 m/s
Answer:
Entropy is typically defined as either the level of randomness (or disorder) of a system or a measure of the energy dispersal of the molecules in the system.
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sorry this is by accident, but i can't delete it