Answer to Question #116306 in Mechanics | Relativity for Damian

Question #116306
When the roller derby car reaches the bottom of the hill. How fast is it traveling (point C)? (using g = 10m/s/s and create an LOL to help solve the problem)
1
Expert's answer
2020-05-18T10:16:24-0400


From the LOL diagram above, we see that the potential energy turned into work done against friction and kinetic energy of derby car motion:


"PE=FR+KE,\\\\\nmgh=\\mu mgx+\\frac{mv^2}{2},\\\\\n\\space\\\\\nv=\\sqrt{2g(h-\\mu x)}."

Just substitute the initial height "h" , coefficient of friction "\\mu", and the distance "x" where the friction was involved.


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