Work (a) A mass m rests on a frictionless, horizontal surface, at the end of a spring with spring constant k. The spring is initially stretched to a distance x1 beyond the neutral length. How much work does it take to stretch the spring from x1 to a new distance x2? Calculate this with the integral definition of work: W = SF di %3D (b) What is the change in potential energy when moving from position 1 to position 2? (c) If the mass is let go from the stretched position x2, at what x-coordinate is one third of the total energy kinetic?
Work (a) A mass m rests on a frictionless, horizontal surface, at the end of a spring with spring constant k. The spring is initially stretched to a distance x1 beyond the neutral length. How much work does it take to stretch the spring from x1 to a new distance x2? Calculate this with the integral definition of work: W = SF di %3D (b) What is the change in potential energy when moving from position 1 to position 2? (c) If the mass is let go from the stretched position x2, at what x-coordinate is one third of the total energy kinetic?
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Transcribed Image Text:Work
(a) A mass m rests on a frictionless, horizontal surface, at the end of a spring
with spring constant k. The spring is initially stretched to a distance x1
beyond the neutral length. How much work does it take to stretch the spring
from x1 to a new distance X2? Calculate this with the integral definition of
work: W =
SF ai
(b) What is the change in potential energy when moving from position 1 to
position 2?
(c) If the mass is let go from the stretched position x2, at what x-coordinate is
one third of the total energy kinetic?
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