A force of 400 newtons (kg m/s2) stretches a spring 2 meters. A mass of 50...

 

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A force of 400 newtons (kg m/s2) stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. (a) Write the initial-value problem associated with this scenario. (b) Find the equation of motion. (c) Using technology or by hand, at what time does the mass pass through the equilibrium position heading downward for the second time? (d) Using technology or by hand, at what time does the mass reach its most extreme displacement above equilibrium? E A force of 400 newtons (kg m/s2) stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. (a) Write the initial-value problem associated with this scenario. (b) Find the equation of motion. (c) Using technology or by hand, at what time does the mass pass through the equilibrium position heading downward for the second time? (d) Using technology or by hand, at what time does the mass reach its most extreme displacement above equilibrium? E