Question

A 31 kg boy on a 4 kg sled is at the top of a slope that is 6 m high. He slides down the snow-covered, frictionless slope and across a road that is 8 m wide and then up a driveway at an angle of 15o. Both the road and the driveway have a coefficient of kinetic friction  k = 0.36. How far does the boy slide up the driveway before he comes to a stop?

Answer 1

- 0 Given, mass of boy, m = 31kg mass y sied, m₂ = 4kg. Total mass, M = m + m₂ = 3 At initial ( stasting point, it posseses only potential Eneagy, mghy = mghsino resu, Do E = mghsino PE = 35x9.81 x 6xsiniso PE = 533-1935 At the end of the slope it possesses only kinetic energy. Bu all PE gets converted to K'E .- Now, from the send of the slope to stopping point it utilises the initial PE to drive forward, Hence, PE + n = 0 → PoE + Fd 80s 0 = 0 :-). P. E = f (cosisoo = -1) d = D.E 2 [tarimg] = d = PE uma d = 533.193 Hence S = 4.314m - 0 36 XS X 4-8). the boy slide up drive way to 4.314m betore coming to Jerly e become coming to Jers