A massless spring of spring constant k = 5205 N/m is connected to a mass m = 266 kg at rest on a horizontal, frictionless surface. a) When the mass is released from rest at the displacement A= 0.93 m, how much time, in seconds, is required for it to reach its maximum kinetic energy for the first time? b)Imagine that the N springs from part (c) are released from rest simultaneously. If the potential energy stored in the springs is fully converted to kinetic energy and thereby “released” when the attached masses pass through equilibrium, what would be the average rate at which the energy is released? That is, what would be the average power, in watts, released by the Nspring system? c)Though not a practical system for energy storage, how many buildings, B, each using 105 W, could the spring system temporarily power?
A massless spring of spring constant k = 5205 N/m is connected to a mass m = 266 kg at rest on a horizontal, frictionless surface.
a) When the mass is released from rest at the displacement A= 0.93 m, how much time, in seconds, is required for it to reach its maximum kinetic energy for the first time?
b)Imagine that the N springs from part (c) are released from rest simultaneously. If the potential energy stored in the springs is fully converted to kinetic energy and thereby “released” when the attached masses pass through equilibrium, what would be the average rate at which the energy is released? That is, what would be the average power, in watts, released by the Nspring system?
c)Though not a practical system for energy storage, how many buildings, B, each using 105 W, could the spring system temporarily power?
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