A simple pendulum suspended in a rocket ship has a period T0. Assume that the ro

Question

A simple pendulum suspended in a rocket ship has a period T0. Assume that the rocket ship is near the earth in a uniform gravitational field.

If the mass of the pendulum is halved, the period decreases.
If the length of the pendulum is doubled, the new period will be the square root of two times T0.
If the ship accelerates downward at 9.81 m/s2, the pendulum will no longer oscillate.
If the ship accelerates upward, the period increases.
If the ship moves upward with a constant velocity, the period increases.

true or false for all 5 statements

Explanation / Answer

1)False. There is still an acceleration on the body and that is g. 2)True. 3)False again: the new acceleration is at least 9.81. If there is an upward acceleration, 9.81 is included in that because 9.81 must be overcome. 4)False: The mass will not change the period. The period depends on length and g. 5)False: The period is determined by g. g can only change with another acceleration, not a velocity.

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