5 of 5 Problem 2 (5 points) zontal force. The external descends down the kblock

Question

5 of 5 Problem 2 (5 points) zontal force. The external descends down the kblock is held in place against a spring by an ex force is removed, and the block is projected with a velocity 's and amp and has a velocity 1.9 m's at the bottom. The track is frictionless between points and B. The block enters a rough section at B and stops. at C Y2 smooth R rough a) Determine the spring constant & and the initial compression of the b) Calculate the beight b of the ramp. Ei What is the value of the coefficient of kinetie friction between the block section? The distance S is equal to 75 em e) 2 and the rough x.8ixo:75 =0.845

Explanation / Answer

(A) Fnet= kx - F = 0

F = k x = 64

Applying energy conservation,

m v^2 /2 = k x^2 /2

k x^2 = 2 x 1.2^2 = 2.88

kx^2/ kx = x = 0.045 m .......Ans

k = 1422.2 N/m

(b) Applying energy conservation,

m v0^2 / 2 + m g h = m v^2 / 2 + 0

1.2^2 /2 + 9.81h = 1.9^2 /2

h = 0.11 m

(c) Applying work- energy theorem,

Work done = change in KE

Work done by friction + work done by normal + work done by gravity = Kf- Ki

- uk m g d + 0 + 0 = m (vf^2 - vi^2)/2

- uk x 2 x 9.81 x 0.75 = 2 (0^2 - 1.9^2)/2

uk = 0.245

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