4. What measurable property/properties affects the period of a pendulum?

7.Give another example of periodic motion other than simple harmonic motion.
8. If you landed on the moon, could you use the pendulum method to find "g" there? Explain.

4. What variables affect the period of a pendulum? Well, possible variables are the mass of the bob, the length of which the string hangs, and the angular displacement.[Or called the arc angle is the angle that the string makes with the vertical when released from rest].

I will post the other answers too :)

7. Another examples could be a sound wave

8. Yes, because of the gravitational acceleration.
Hoped it helped! :)

thanks for your help I truly appreciate it

how is the slope of t^2 vs l graph related to acceleration due to gravity?

4. The period of a pendulum is affected by two measurable properties: the length of the pendulum and the acceleration due to gravity.

The period of a pendulum is the time it takes for one complete back-and-forth swing. It is directly proportional to the square root of the length of the pendulum, which means that longer pendulums have longer periods. The relationship can be represented 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.

Additionally, the period of a pendulum is inversely proportional to the square root of the acceleration due to gravity. This means that the period will be longer in locations where the acceleration due to gravity is weaker, and shorter in locations where it is stronger.

7. Another example of periodic motion other than simple harmonic motion is the motion of a swinging pendulum. Although simple harmonic motion is a specific type of periodic motion, the swinging motion of a pendulum can be considered periodic as well. It follows a repeated pattern, swinging back and forth in a regular rhythm.

Other examples of periodic motion include the rotation of Earth around its axis, the oscillation of a spring-mass system, the vibration of a guitar string, and the rotation of the hands of a clock.

8. No, the pendulum method cannot be used to find the acceleration due to gravity (g) on the moon. The reason is that the period of a pendulum depends on both the length of the pendulum and the acceleration due to gravity. Since the acceleration due to gravity on the moon is different from that on Earth, the same pendulum will have a different period on the moon compared to on Earth.

To find the acceleration due to gravity on the moon, other methods need to be employed. One common method is to use the motion of a free-falling object. By measuring the time it takes for an object to fall a known distance, and knowing the relationship between time and distance traveled in free fall, the acceleration due to gravity can be determined.