Energy in a spring-mass system A horizontal spring-mass system has low friction,
ID: 2091433 • Letter: E
Question
Energy in a spring-mass system A horizontal spring-mass system has low friction, spring stiffness 210 N/m, and mass 0.2 kg. The system is released with an initial compression of the spring of 9 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion? (m) (b) What is the maximum speed during the motion?(m/s) (c) Now suppose that there is energy dissipation of 0.03 J per cycle of the spring-mass system. What is the average power input in watts required to maintain a steady oscillation?(watt) please help !Explanation / Answer
a) max stretch = 9 cm
b) max speed = 3m/s
c) max speed = wa = 3 w = 3/a = 33.33 sec^-1
time period = 2pi/w = 0.188 sec
avg power input = 0.03 / 0.188 = 0.159 watts
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