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A simple pendulum is 5.00 m long.

What is the period of simple harmonic motion for the pendulum if it is placed in a truck that is accelerating horizontally at 5.00 m/s²?

Answer :

Final answer:

The period of the simple harmonic motion for the pendulum in the accelerating truck is the same as if it were at rest.

Explanation:

To determine the period of the simple harmonic motion for the pendulum in the accelerating truck, we need to consider the effect of the acceleration on the pendulum. The period of a simple pendulum is given by the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the acceleration of the truck is not relevant to the period of the pendulum. The period will remain the same regardless of the acceleration of the truck. Therefore, the period of the simple harmonic motion for the pendulum in the truck is the same as if it were at rest, which is approximately 2.01 seconds for a pendulum of 5.00 m in length.

It is important to note that the acceleration of the truck will affect the motion of objects inside the truck, but the pendulum's period is determined by the length of the pendulum and the acceleration due to gravity.

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