Question #105264

[img]https://upload.cc/i1/2020/03/12/It65bk.jpg[/img]

d8 is 4

d8 is 4

Expert's answer

(a)

"\\frac{mu^2}{2}=\\frac{mv^2}{2}+\\mu_km_1gl"

"v=\\sqrt{\\frac{2}{m}(\\frac{mu^2}{2}-\\mu_km_1gl)}="

"\\sqrt{\\frac{2}{0.05}(\\frac{0.05\\cdot 858^2}{2}-0.4\\cdot 6\\cdot 9.8\\cdot 0.1)}=857.94" "m\/s"

(b)

- there is no energy loss for the deformation of the block 1
- there is no conversion of mechanical energy into thermal energy

(c)

"mv=(m_2+m)V \\to V=\\frac{mv}{m_2+m}=\\frac{0.05\\cdot 857.94}{8+0.05}=5.33" "m\/s"

(d)

"\\frac{(m_2+m)V^2}{2}=\\frac{kd^2}{2}+\\mu_k(m_2+m)gd"

"d\\approx0.231" "m"

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