Map Sapling Learning this question has been customized by Matteo Broccio at Univ

Question

Map Sapling Learning this question has been customized by Matteo Broccio at University of Pittsburgh A mass attached to a horizontal ideal s from the graph below (position vs time), at time t is oscillating. Judging approximately 24 s, the mass has x (m) Position vs. time 1.0 0.5 0.0 0.5 1.0 36 40 O zero potential energy and positive kinetic energy positive potential energy and positive kinetic energy O zero potential energy and zero kinetic energy O negative potential energy and positive kinetic energy O positive potential energy and zero kinetic energy Previous Give Up & View Solution Check Answer NextExit

Explanation / Answer

a) motion of the spring is simple harmonic and hence at t = 24 sec is an equilibrium position where velocity will be maximum and decreases as spring move from its equilibrium position, so kinetic energy will be positive,

and since spring is not displaced but resides in its equilibrium position so potential energy wii be 0. and so option numer 1 is correct for part A.

b) in this part at t=12 sec, it is cleraly seen that velocity will decrease and accelaration also decrease (whenever spring move towards left or right from equilibrium position, its velocity and accelaration both decrease)

and so option numer 4 is correct for this case.

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