A What is x B If the block were to reach the top of the trac

A: What is x?

B: If the block were to reach the top of the track, what would be its speed at that point?

C: Does the block actually reach the top of the track?

1/2 k x² = 1/2 m v²

x = sqrt [m / k] * v

= sqrt [0.600 / 450] * 13.1

x = 0.478 m

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From work energy theorm

-friction * pi R = 1/2 mv_T² + mg 2R - 1/2 mv_B²

-7 * pi = 0.600/2 V_T² + (0.5 * 9.8 * 2) - 0.600/2 * 13.1²

-22 = 0.300 V_T² + 9.8 - 51.5

V_T² = 65.66

V_T = 8.10 m/s

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v = sqrt [R g] = sqrt [1 * 9.8 ]

= 3.13 m/s

block stays on track