An object with mass 0.200 kg is acted on by an elastic restoringforce with force constant 10.0 N/m. (a) Graph elastic potentialenergy U as a function of displacement x over a range of x from-0.300 m to +0.300 m. On your graph, let 1 cm = 0.05 J vertically and1 cm = 0.05 m horizontally. The object is set into oscillation with aninitial potential energy of 0.140 J and an initial kinetic energy of 0.060 J.Answer the following questions by referring to the graph. (b) What isthe amplitude of oscillation? (c) What is the potential energy when thedisplacement is one-half the amplitude? (d) At what displacement are thekinetic and potential energies equal? (e) What is the value of the phaseangle f if the initial velocity is positive and the initial displacementis negative?
An object with mass 0.200 kg is acted on by an elastic restoring
force with force constant 10.0 N/m. (a) Graph elastic potential
energy U as a function of displacement x over a range of x from
-0.300 m to +0.300 m. On your graph, let 1 cm = 0.05 J vertically and
1 cm = 0.05 m horizontally. The object is set into oscillation with an
initial potential energy of 0.140 J and an initial kinetic energy of 0.060 J.
Answer the following questions by referring to the graph. (b) What is
the amplitude of oscillation? (c) What is the potential energy when the
displacement is one-half the amplitude? (d) At what displacement are the
kinetic and potential energies equal? (e) What is the value of the phase
angle f if the initial velocity is positive and the initial displacement
is negative?
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