Problem 8.36 Part A Consider the track shown in the figure. The section AB is on

Question

Problem 8.36 Part A Consider the track shown in the figure. The section AB is one quadrant of a circle of radius 2.0 m and is frictionless. B to C is a horizontal span 2.9 m long with a coefficient of kinetic friction 0.26. The section CD under the spring is frictionless. A block of mass 1.0 kg is released from rest at A. After sliding on the track, it compresses the spring by 0.35 m. Figure 1) Determine the velocity of the block at point B. Express your answer to two significant figures and include the appropriate units. uValue Units Submit My Answers Give Up Part B Determine the thermal energy produced as the block slides from B to C. Express your answer to two significant figures and include the appropriate units. E-Value Units Submit My Answers Give Up Part C Determine the velocity of the block at point C. Express your answer to two significant figures and include the appropriate units. uc Value Units Submit My Answers Give Up Part D Determine the stiffness constant k for the spring. Express your answer to two significant figures and include the appropriate units. | Figure 1 of 1 = 1.0kg Value Units r-2.0 m Submit My Answers Give Up

Explanation / Answer

a) from conservation of energy

1.2mvb^2 = mgya

vb = sqrt(2gya) = sqrt(2*9.8*2) = 6.26 m/s

b) E int = friction force*l = mue*mg*l = 0.26*1*9.8*2.9 = 7.39 J

c) 1/2mvc^2+f *l= 1/2mvb^2

vc = sqrt(vb^2-2*Eint/m) = sqrt(6.26^2-2*7.39/1) = 4.94 m/s

d) 1/2kx^2 = 1/2mvc^2

k = 1*4.94^2/0.35^2 = 199.25 N/m

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