Question

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dder, starting from rest slides down a 10-m-high hill. At the bottom of the hill is a long horizontal patch of, e bottom is μ,-0.30. How far will the sled slide along the rough patch? 1) Draw a sketch of the sledder sliding downhil, and the long horizontal patch, represent the A sled ugh snow. The hill is nearly frictionless, but the coefficient of friction between the sled and the rough snow ro before/initial and after/final situations 2) What locations of the sledder do you choose as situation 1 and situation 2("before and after" or 3) Introduce an x-y coordinate system and identify known and to find quantities. 4) Write down the energy work equation for the process using symbols like K, Ug. Us, 4Eth. Is there any "initial and final" ? change in thermal energy during this process? Is there any way to relate the thermal energy to the length of the rough patch? Why the other portions of the path don't matter for change in thermal Energy? 6) Replace the explicit expressions for energies, like "mgy", "% mva", "f'd", etc. Identify energies that are zero or that don't apply to this process. Does the mass of the sledder cancels out of the work-energy equation? 7) 8) Compute the length of the rough patch

Answer 1

At the top of the hill the sled has gravitational potential energy stored and kinetic energy zero.

At the bottom of the hill it has only kinetic energy equals to potential energy at the top. Total energy does not change sliding down as there is no friction.

While sliding on the rough patch the sled loses energy in form of thermal energy due to work done by friction and eventually stops when kinetic energy becomes zero.
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