On your first trip to Planet X you happen to take along a 185 mass, a 40-cm-long

Question

On your first trip to Planet X you happen to take along a 185 mass, a 40-cm-long spring, a meter stick, and a stopwatch. You're curious about the acceleration due to gravity on Planet X, where ordinary tasks seem easier than on earth, but you can't find this information in your Visitor's Guide. One night you suspend the spring from the ceiling in your room and hang the mass from it. You find that the mass stretches the spring by 21.7 . You then pull the mass down 8.20 and release it. With the stopwatch you find that 11.0 oscillations take 16.5 . Can you now satisfy your curiosity? Answer in m/s^2 can anyone show me the methodology and solution for this problem?

Explanation / Answer

I cannot figure out this problem for the life of me, can someoneplease help? On your first trip to Planet X you happen to take alonga 105 mass, a 40-cm-long spring, a meter stick,and a stopwatch. You're curious about the acceleration due togravity on Planet X, where ordinary tasks seem easier than onearth, but you can't find this information in your Visitor's Guide.One night you suspend the spring from the ceiling in your room andhang the mass from it. You find that the mass stretches the spring

answer
first you find the spring constant k:mg = kxk = mg/x = .105*g/.298now the period isT = 2(m/k)(T/2)^2 = m/kk = m/[(T/2)^2] = 4^2 m/T^2 = 4^2(.105)/(18.5/11)^2 = 1.466so.105*g/.298 = 1.466g = 1.466*.298/.105 = 4.16 m/s^2

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