A sled of mass m is given a kick on a frozen pond. The kick imparts to it an ini

Question

A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 2.20 m/s. The coefficient of kinetic friction between sled and ice is 0.125. Use energy considerations to find the distance the sled moves before it stops. 178.58 The coefficient of friction between the block of mass m_1 = 3.00 kg and the surface in the figure below is mu_k = 0.235. The system starts from rest. What is the speed of the ball of mass m_2 = 5.00 kg when it has fallen a distance h = 1.85 m? m/s

Explanation / Answer

1) from work energy theorem

work done by friction = kinetic energy

mue*mgd = 1/2mv^2

d = v^2/2*mue*g

d = 2.2^2/2*0.125*9.8

d = 1.975 m

2) a = (g(m2-m1*mue)/(m1+m2)

a = 9.8(5-0.235*3)/8 = 5.26 m/s^2

v^2-u^2 = 2ah

v = sqrt(2ah) = sqrt(2*5.26*1.85)

v = 4.41 m/s

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