A 50.0 g object connected to aspring with a force constant of 35.0 N/m oscillate

Question

A 50.0 g object connected to aspring with a force constant of 35.0 N/m oscillates on a horizontal, frictionlesssurface with an amplitude of 5.00 cm. (a) Find the total energy of the system.
___ mJ

(b) Find the speed of the object when the positionis 1.15 cm.
___ m/s

(c) Find the kinetic energy when the position is 3.00 cm.
___ mJ

(d) Find the potential energy when the positionis 3.00 cm.
___ mJ (a) Find the total energy of the system.
___ mJ

(b) Find the speed of the object when the positionis 1.15 cm.
___ m/s

(c) Find the kinetic energy when the position is 3.00 cm.
___ mJ

(d) Find the potential energy when the positionis 3.00 cm.
___ mJ

Explanation / Answer

given that m = 50.0g = 0.050kg k = 35 N/m A = 5.00cm = 0.05m total energy of system    E = 1/2 * kA2       solving E = 43.7mJ when x = 1.15cm = 0.0115m     v = ± k/m (A2 -x2 ) = ±1.28 m/s    K.E   when x = 3.00cm = 0.03m     v = ±k/m ( A2 -x2 ) = 1.05 m/s     K.E = 1/2 * mv2 = 1/2 * 0.050kg* 1.05 m/s = 26.4 mJ P.E = 1/2 * kx2 = 15.7 mJ

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