A 40.0 g object connected to aspring with a force constant of 50.0 N/m oscillate

Question

A 40.0 g object connected to aspring with a force constant of 50.0 N/m oscillates on a horizontal, frictionlesssurface with an amplitude of 8.00 cm. (a) Find the total energy of the system. mJ
(b) Find the speed of the object when the positionis 1.25 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. (a) Find the total energy of the system. mJ
(b) Find the speed of the object when the positionis 1.25 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.

Explanation / Answer

    The formulae that you need to use are :    (a) E = kA2/2      (b) v = m[A2- x2]      (c) K = kx2/2      (d) P = E - K = (k/2)*[A2- x2]    Now,    A = amplitude of oscillation     k = spring force constant     = angular frequency ofoscillation     E = total energy     K = kinetic energy     x = displacement     P = potential energy     = (k/m)    So, putting the values,    (a) 0.16 J = 160 mJ    (b) 2.7937 m/s    (c) 0.0225 J = 22.5 mJ    (d) 0.1375 J = 137.5 mJ

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