Problem4 An ice cube slides without friction down a track as shown in the figure

Question

Problem4 An ice cube slides without friction down a track as shown in the figure below. Calculate the speed of the cube at points B, C, D, and E. The ice cube starts at rest at point A (yA 4.5 yA YE YB yD 1) Calculate the speed of the cube at the point B (Yn =2.7). Express your answer to two significant figures.) | Submit 2) Calculate the speed of the cube at the point C (Uc =1.8). (Express your answer to two significant figures.) | Submit 3) Calculate the speed of the cube at the point D ( =2.7). (Express your answer to two significant figures.) m Submit 4) Calculate the speed of the cube at the point E (E-3.6). (Express your answer to two significant figures.) | Submit

Explanation / Answer

1) Applying energy conservation,

PE_A + KE_A = PE_B +KE_B

m g yA + 0 = m b yB + m vB^2 /2

vB = sqrt(2 x 9.8 x (4.5 - 2.7))

vB = 5.94 m/s

2) vC = sqrt(2 x9.8 x (4.5 - 1.8))

vC = 7.27 m/s

3) vD= sqrt(2 x9.8 x (4.5 - 2.7))

vD = 5.94 m/s

4) vC = sqrt(2 x9.8 x (4.5 - 3.6))

vC = 4.2 m/s

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