QuestionJuly 6, 2025

If the period of a pendulum is 4.00 see , what is the elapsed time from the highest point and the second time when the pendulum has the maximum speed? 2.00 sec 6.00 sec 1.00 sec 3.00 sec

If the period of a pendulum is 4.00 see , what is the elapsed time from the highest point and the second time when the pendulum has the maximum speed? 2.00 sec 6.00 sec 1.00 sec 3.00 sec
If the period of a pendulum is 4.00 see , what is the elapsed time from the highest point and the second
time when the pendulum has the maximum speed?
2.00 sec
6.00 sec
1.00 sec
3.00 sec

Solution
3.7(197 votes)

Answer

2.00 sec Explanation 1. Identify the period and maximum speed points The pendulum reaches maximum speed at the lowest point of its swing, which occurs halfway through each half-period. 2. Calculate time to maximum speed Since the period is 4.00 sec, half a period is 2.00 sec. The pendulum reaches maximum speed 2.00 sec after starting from the highest point. 3. Determine second occurrence of maximum speed The pendulum will again reach maximum speed after another half-period (2.00 sec), totaling 4.00 sec from the start. 4. Calculate elapsed time from first maximum speed to second The elapsed time from the first maximum speed (2.00 sec) to the second (4.00 sec) is 2.00 sec.

Explanation

1. Identify the period and maximum speed points<br /> The pendulum reaches maximum speed at the lowest point of its swing, which occurs halfway through each half-period.<br /><br />2. Calculate time to maximum speed<br /> Since the period is 4.00 sec, half a period is 2.00 sec. The pendulum reaches maximum speed 2.00 sec after starting from the highest point.<br /><br />3. Determine second occurrence of maximum speed<br /> The pendulum will again reach maximum speed after another half-period (2.00 sec), totaling 4.00 sec from the start.<br /><br />4. Calculate elapsed time from first maximum speed to second<br /> The elapsed time from the first maximum speed (2.00 sec) to the second (4.00 sec) is 2.00 sec.
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