Velocity of a slider immediately before impact

[TaylorHoward21]

Homework Statement

1The slider A and the plate B in the figure slide with negligible friction on the vertical guide rod. The plate B is resting on a spring of stiffness k = 30 lb/ft. The slider is released in the position shown and strikes the plate B. The duration of the impact is negligible. Determine the velocity of A immediately before the impact.

Relevant Equations

Conservation of energy: T1 + K1 = T2 + K2

T1 + V1 = T2 + V2
0 + m_Agh = 0.5m_AV_2A1 + 0
40 = (5/32.2)V_A²
V_A1 = 16.0499 ft/s

Edit: Accidentally Used two notations for Kinetic Energy in the "Useful equations" section. Changed it to correctly notate Kinetic and Potential. This notation is used in R.C. Hibbeler Dynamics 14th Ed.

 

[haruspex]

Problem Statement: 1The slider A and the plate B in the figure slide with negligible friction on the vertical guide rod. The plate B is resting on a spring of stiffness k = 30 lb/ft. The slider is released in the position shown and strikes the plate B. The duration of the impact is negligible. Determine the velocity of A immediately before the impact.
Relevant Equations: Conservation of energy: T1 + K1 = T2 + K2

View attachment 243979
T1 + V1 = T2 + V2
0 + m_Agh = 0.5m_AV_2A1 + 0
40 = (5/32.2)V_A²
V_A1 = 16.0499 ft/s

Edit: Accidentally Used two notations for Kinetic Energy in the "Useful equations" section. Changed it to correctly notate Kinetic and Potential. This notation is used in R.C. Hibbeler Dynamics 14th Ed.

Your answer is correct, but quotes too many digits for the known precision.

 

[TaylorHoward21]

Your answer is correct, but quotes too many digits for the known precision.

Thank you. I will go back and make sure to include the correct amount of significant figures.