Question
A 0.4-kg mass is attached to a spring that can compress as well as stretch. The mass and spring are resting on a horizontal tabletop.
A 0.4-kg mass is attached to a spring that can compress as well as stretch. The mass and spring are resting on a horizontal tabletop. The spring constant is 50 N/m. The mass is pulled, stretching the spring 48 cm. The mass is then released, and the spring-mass system begins to oscillate. a) Construct a complete Energy-Interaction diagram to predict the speed of the mass as it passes a point that is a distance of 39 cm from its equilibrium point with the spring compressed? Assume the transfer of energy to thermal systems is negligible. b) Now assume the effects of friction are not negligible. When pulled back and released as before, the mass now reaches its furthest distance from equilibrium at 40 cm on the compressed side (before bouncing back again). Construct a complete Energy-Interaction diagram that could be used to determine the amount of energy transferred to thermal when going from the initial stretched position to where it first momentarily stops. Find the increase in thermal energy.
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