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A block attached to an ideal spring undergoes simple harmonic motion.The acceleration of the block has its maximum magnitude at the point where a. the restoring force is the minimum b. the potential energy is the minimum c. the speed is the maximum d. the speed is the minimum

Вопрос

A block attached to an ideal
spring undergoes simple
harmonic motion.The
acceleration of the block has
its maximum magnitude at
the point where
a. the restoring force is
the minimum
b. the potential energy is
the minimum
c. the speed is the
maximum
d. the speed is the
minimum

A block attached to an ideal spring undergoes simple harmonic motion.The acceleration of the block has its maximum magnitude at the point where a. the restoring force is the minimum b. the potential energy is the minimum c. the speed is the maximum d. the speed is the minimum

Решения

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Даниэль
Экспертная проверкаЭкспертная проверка
профессионал · Репетитор 6 лет

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d. the speed is the minimum

Изложение

## Step 1<br />In simple harmonic motion (SHM), the acceleration of the object is directly proportional to the displacement from the equilibrium position and is directed towards the equilibrium position. This is known as Hooke's Law.<br /><br />## Step 2<br />The acceleration of the object is given by the formula \(a = -\omega^2 x\), where \(a\) is the acceleration, \(\omega\) is the angular frequency, and \(x\) is the displacement from the equilibrium position.<br /><br />## Step 3<br />From the formula, it can be seen that the acceleration is maximum when the displacement is maximum. This occurs at the extreme positions of the motion, where the speed of the object is zero.<br /><br />## Step 4<br />Therefore, the acceleration of the block has its maximum magnitude at the point where the speed is the minimum.
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