A 0.4 kg object that stretches a spring 1 cm from its natural length when hangin

Question

A 0.4 kg object that stretches a spring 1 cm from its natural length when hanging at rest oscillates with an amplitude of 8.1 cm. 1) Find the total energy of the system. The acceleration due to gravity is 9.81 m/s. Answer in units of J 2) Find the gravitational potential energy at maximum downward displacement. Answer in units of J 3) Find the potential energy in the spring at maximum downward displacement. Answer in units of J 4) What is the maximum kinetic energy of the object? Answer in units of J

Explanation / Answer

Here

k = 2mg/A

= (2*0.4*9.81)/(8.1*10^-2)

= 96.89 N/m

Total Energy of the Systaem = 0.5*k*A^2

= 0.5*96.89*(8.1*10^-2)^2

= 0.3178 J

Maximum Potential Energy = 0.3178 J

Maximum Kinetic Energy = 0.3178 J

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