Question: Use energy to show whether or not your data agrees with the Law of Con

ID: 1436953 • Letter: Q

Question

Question: Use energy to show whether or not your data agrees with the Law of Conservation of Energy. Explain.

Mass of Cart (kg):____.2088________________________

Small Silver Spring Constants from part 1 (add the two values together):______5,972_____________________

Equilibrium Position (m):_____.1005 m_________________________

The maximum positive position (farthest distance to the right of the equilibrium position):

Time (s):___2.350_s___________ Position (m):___1.111 m______________

Velocity (m/s):____0.003 m/s______________

The minimum positive position (farthest distance to the left of the equilibrium position):

Time (s):____1.750_s__________ Position (m):____1.000 m______________

Velocity (m/s):___-0.017 m/s_______________

The maximum velocity (near the equilibrium position):

Time (s):__2.05 s_____________ Position (m):___1.054 m_______________

Velocity (m/s):___0.281 m/s_______________

By conservation of energy,

Total energy at right most position = 0.5 k x2 + 0.5m v2

= 0.5*5972*(1.111-1.005)^2 + 0.5*0.2088*0.003 ^2= 33.5507 J

Total energy at left most position = 0.5 k x2 + 0.5m v2

= 0.5*5972*(1.000-1.005)^2 + 0.5*0.2088*(-0.017) ^2= 0.07468 J

Total energy at equilibrium position = 0.5 k x2 + 0.5m v2

= 0.5*5972*(1.054-1.005)^2 + 0.5*0.2088*(0.281) ^2= 0.07468 J

maximum kinetic energy at equilibrium position =Maximum spring energy at left most position

0.5 k A2 = 0.5m v2 =0.5 k A' 2

Maximum spring energy at right most position = 0.5*5972*(1.111-1.054)^2 = 9.7015 J

maximum kinetic energy at equilibrium position=0.5*0.2088*0.281^2=7.1776 J

Total energy is not conserved, so data does not agree with energy conservation, our data is wrong

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