ACT Science : How to find synthesis of data in physics
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Example Question #1 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown: 
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
How long would 4 oscillations be, using the 3m rope and the 6kg weight?
53.828
2.565
13.896
12.566
13.896
Based on experiment 2, each oscillation is approximately 3.474 seconds long. 4 oscillations would therefore last approximately 13.896 seconds
Example Question #2 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
How much longer does each oscillation in experiment 3 take in comparison to experiment 1?
1.111
3.14
0.682
1.012
1.012
To compare how much longer each oscillation in experiment 3 is, simply subtract the two values.
Example Question #3 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
If Laura recreated experiment 3 using a 5m rope and a 20kg weight, how long would 2 oscillations last?
2.243
8.972
6.729
35.888
8.972
As shown by comparing experiments 1 and 2, the mass of the weight has no effect upon the time of each oscillation.
Example Question #4 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
Which of the following could be an equation for the length of time of one oscillation in experiment 1? (L represents the length of the rope)
By plugging in the values from experiment one, the correct answer can be found.
Example Question #1 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
Laura wants to run a new experiment that has a shorter length of time per oscillation than in experiment 1. Which one of the following would be a good choice for length of rope?
3
5
2
4
2
The shorter the length of rope, the less time each oscillation takes.
Example Question #1 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
If Laura recreates experiment 2 using a 300kg weight, how long would each oscillation last?
62.384
34.74
347.4
3.474
3.474
The weight of the object has no effect upon the time of oscillation.
Example Question #2 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
If Laura created a new experiment (experiment 4) and used a 3kg mass and a 6m rope, how long would one oscillation likely be?
4.2
4.914
10.123
4.486
4.914
A 6m rope would provide results close to the 5m rope results in experiment 3, but would be slightly bigger. 10 seconds is too long. The other incorrect answers are too small. 4.914 seems most likely.
Example Question #3 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
If Laura recreated experiment 1 using a 10kg weight, how long would 2 oscillations last?
13.898
31.416
10.212
6.949
8.972
6.949
As shown by comparing experiment 1 and 2, the actual mass of the weight has no effect upon how long each oscillation is.
Example Question #4 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
In experiment 3, how long would 2.5 oscillations last?
13.5
8.5
13.457
16.5
11.215
11.215
Each oscillation lasts 4.486 seconds; therefore, 2.5 oscillations would last 11.215 seconds.
Example Question #2 : How To Find Synthesis Of Data In Physics
Laura is performing an experiment with a 5kg weight tied to a 3m rope tied to the ceiling as shown:
Laura drops the weight and allows it to swing freely. She measures how long it takes for the weight to return to it's original position (assume no forces outside of gravity are acting upon the pendulum). This is also called one oscillation.
Experiment 1:
Laura created the following table for her first measurement of the pendulum's oscillations.
Experiment 2:
Laura performed the experiment again, this time using a 6kg weight.
Experiment 3:
Laura performed the experiment again, this time using a 3kg weight and a 5m rope.
Which of the following statements is a valid conclusion?
The length of time of each oscillation is directly related to the mass of the weight
The length of time of each oscillation is inversely related to the length of the rope
The length of time of each oscillation is directly related to the length of the rope
The length of time of each oscillation is inversely related to the mass of the weight
The length of time of each oscillation is directly related to the length of the rope
In the experiment, the only variable that affects the amount of time of each oscillation is the length of the rope.
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