ACT Science : How to find synthesis of data in physics

Study concepts, example questions & explanations for ACT Science

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Example Questions

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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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

 Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.Screen_shot_2013-11-04_at_8.30.58_am

How long would 4 oscillations be, using the 3m rope and the 6kg weight?

Possible Answers:

12.566

2.565

13.896

53.828

Correct answer:

13.896

Explanation:

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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

 Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

How much longer does each oscillation in experiment 3 take in comparison to experiment 1?

Possible Answers:

1.012

1.111

0.682

3.14

Correct answer:

1.012

Explanation:

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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

 Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

If Laura recreated experiment 3 using a 5m rope and a 20kg weight, how long would 2 oscillations last?

Possible Answers:

35.888

8.972

2.243

6.729

Correct answer:

8.972

Explanation:

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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

 Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

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)

Possible Answers:

Correct answer:

Explanation:

By plugging in the values from experiment one, the correct answer can be found. 

Example Question #5 : 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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

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?

Possible Answers:

4

2

3

5

Correct answer:

2

Explanation:

The shorter the length of rope, the less time each oscillation takes.

Example Question #6 : 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:

 Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

If Laura recreates experiment 2 using a 300kg weight, how long would each oscillation last?

Possible Answers:

3.474

34.74

347.4

62.384

Correct answer:

3.474

Explanation:

The weight of the object has no effect upon the time of oscillation.

Example Question #7 : 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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

If Laura created a new experiment (experiment 4) and used a 3kg mass and a 6m rope, how long would one oscillation likely be?

Possible Answers:

4.486

10.123

4.914

4.2

Correct answer:

4.914

Explanation:

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 #8 : 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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

 

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.


Screen_shot_2013-11-03_at_8.19.19_pm

 

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.Screen_shot_2013-11-04_at_8.30.58_am

If Laura recreated experiment 1 using a 10kg weight, how long would 2 oscillations last?

Possible Answers:

8.972

6.949

31.416

13.898

10.212

Correct answer:

6.949

Explanation:

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 #9 : 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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

In experiment 3, how long would 2.5 oscillations last?

Possible Answers:

8.5

13.5

16.5

11.215

13.457

Correct answer:

11.215

Explanation:

Each oscillation lasts 4.486 seconds; therefore, 2.5 oscillations would last 11.215 seconds.

Example Question #10 : 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:
Screen_shot_2013-11-03_at_8.09.39_pm

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.

Screen_shot_2013-11-03_at_8.19.19_pm

 

Experiment 2:

Laura performed the experiment again, this time using a 6kg weight.

Screen_shot_2013-11-03_at_8.19.19_pm
 

Experiment 3:

Laura performed the experiment again, this time using a 3kg weight and a 5m rope.

Screen_shot_2013-11-04_at_8.30.58_am

Which of the following statements is a valid conclusion?

Possible Answers:

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 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 mass of the weight

Correct answer:

The length of time of each oscillation is directly related to the length of the rope

Explanation:

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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