A 0.250 kgkg toy is undergoing SHM on the end of a horizontal spring with force constant 300 N/mN/m. When the toy is 0.0120 mm from its equilibrium position, it is observed to have a speed of 0.400 m/s. Find (a) the total energy of the object at any point in its motion,
(b) the amplitude of the motion, and (c) the maximum speed attained by the object during its motion.

a. The total energy of the toy at any point in its motion is 0.0416 Joules.

b. The amplitude of the motion is equal to 0.0167 meter.

c. The maximum speed attained by the toy during its motion is 0.577 m/s.

Given the following data:

a. To find the total energy of the toy at any point in its motion:

Mathematically, the total energy of an object undergoing simple harmonic motion (SHM) is given by:

Where:

Substituting the given parameters into the formula, we have;

E = 0.0416 Joules.

b. To find the amplitude of the motion, we would use this formula:

A = 0.0167 meter.

c. To find the maximum speed attained by the object during its motion:

Maximum speed = 0.577 m/s

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