When a spring is stretched to x centimeters from its equilibrium point at x = 0, a potential energy of U = ¿kx² is stored in the spring, where U has units of Joules and k is a positive constant. dU (a) What should the units of be? dx (b) When the string is stretched so that x > 0, does further stretching increase or dU decrease the potential energy? Use something about in your answer! d.x (c) Contrast the cases between 2 centimeters stretched and 3 centimeters stretched: where will stretching the spring by a further little bit cause the greater increase in potential energy stored in the spring?

University Physics Volume 1
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Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 79AP: Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is...
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(21) When a spring is stretched to x centimeters from its equilibrium point at x = 0, a
potential energy of U = kx² is stored in the spring, where U has units of Joules and
k is a positive constant.
dU
(a) What should the units of
be?
dx
(b) When the string is stretched so that x > 0, does further stretching increase or
dU
decrease the potential energy? Use something about
in your answer!
dx
(c) Contrast the cases between 2 centimeters stretched and 3 centimeters stretched:
where will stretching the spring by a further little bit cause the greater increase
in potential energy stored in the spring?
Transcribed Image Text:(21) When a spring is stretched to x centimeters from its equilibrium point at x = 0, a potential energy of U = kx² is stored in the spring, where U has units of Joules and k is a positive constant. dU (a) What should the units of be? dx (b) When the string is stretched so that x > 0, does further stretching increase or dU decrease the potential energy? Use something about in your answer! dx (c) Contrast the cases between 2 centimeters stretched and 3 centimeters stretched: where will stretching the spring by a further little bit cause the greater increase in potential energy stored in the spring?
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