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Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?
A
T/2
B
T√2
C
T
D
2T
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1
Understand that the period of a simple pendulum is given by the formula: , where is the length of the pendulum and is the acceleration due to gravity.
Note that the period of a simple pendulum is independent of its mass. This means that the mass of pendulum A being twice that of pendulum B does not affect the period.
Since both pendulums A and B have the same length, the formula for the period applies equally to both, meaning they will have the same period.
Therefore, the period of pendulum B is the same as the period of pendulum A, which is .