The image at the right shows a pendulum. The length of the Map da pendulum is 1.

Question

The image at the right shows a pendulum. The length of the Map da pendulum is 1.50 m, and the mass of the bob is 2.50 kg. Answer the three questions below using three significant figures. Part A If the length of the pendulum is increased to 6.00 m, what happens to the period of the pendulum? O It is quadoupled. It is doubled. O It is unchanged. O It is half as much PTI O It is one-fourth as much. Part B: If the mass of the pendulum is increased to 10.0 kg, what happens to the period of the pendulum? O O O O O It is quadroupled. It is doubled. It is unchanged. It is half as much. It is one-fourth as much. pendulum, with its original length and mass values, is taken to planet Xeno, and it is found to have a period of 2.90 s. What is the acceleration of gravity (9x) on Xeno? Number

Explanation / Answer

#We know that the time period of the pendulum is T = 2(L/g)

A -

since the L is 6/1.5 times than previous.

L' = 6/1.5 L. = 4L

So time period is 2×2(L/g). Which means DOUBLED

B-

.since there is no use of mass in the formula of period, it will remain unchanged for this case.

C-

When T=2.90

Then 2.90 = 2×3.14×(1.5/g)

2.90/6.28 = 1.5/g

g= (6.28/2.90)^2 ×1.5 =7.034 m/s^2

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