For this problem there is a picture of pendulums. They are numbered 1 through 5. Each pendulum is a certain length and has a washer at the end.

1) the weight is 5w.
2) this is the longest one and the weight is 3w.
3) weight is 5w.
4) weight is 10w
5) this is the shortest one and the weight is 4w.

There are a few questions for this that I really do not understand.

1) Suppose you wanted to do an experiment to find out if changing the length of the pendulum changed the amount of time it takes the pendulum to swing back and forth. Which pendulums would you use?

1 and 4, 2 and 4, 1 and 3, 2 and 5

I think the answer is 2 and 5 because you should test the longest to the shortest. Is this correct?

2) Suppose you wanted to do an experiment to find out if changing the weight on the end of the string changed the amount of time the pendulum takes to swing back and forth. Which pendulums would you use?

1 and 4, 2 and 4, 1 and 3, 2 and 5.

I think the answer is 2 and 4 because the heaviest weight should be compared to the lightest weight. Is this correct?

the options available are rather odd. you want to see if the length has any influence on the time. this you do by testing different lengths and trying to keep the weight the same. My guess would be the last one 2+5, as the lengths are different and the weight change is not that much...atleast if you're trying to make a rough estimate...that's my opinion. in the second one, it's the same but now you need to keep the length the same as vary the weight... i would say it is 5kg and 10kg (1 and 4):D

Suppose you wanted to do an experiment to find out if changing the weight on the end of the string changed the amount of time the pendulum takes to swing back and forth. Which pendulums would you use for the experiment?

To determine which pendulums to use for each experiment, we need to consider the variables being tested: length and weight.

1) To investigate the effect of changing the length of the pendulum, you should choose pendulums that have different lengths. In this case, pendulum 2 and pendulum 5 have different lengths. Pendulum 2 is the longest, and pendulum 5 is the shortest. So, the correct choice would be 2 and 5.

2) To examine the impact of changing the weight on the pendulum, you should select pendulums that have different weights at the end. In this case, pendulum 2 and pendulum 4 have different weights. Pendulum 2 has a weight of 3w, while pendulum 4 has a weight of 10w. Thus, the correct choice would be 2 and 4.

Therefore, your answers are correct. For the length experiment, you would use pendulums 2 and 5, and for the weight experiment, you would use pendulums 2 and 4.