Merrily we roll along lab
Purpose:
To investigate the relationship between distance and time for a ball rolling down an incline.
To investigate the relationship between distance and time for a ball rolling down an incline.
Procedure:
Step 1) Set up a ramp with the angle of the incline at about 10° to the horizontal, as shown in Figure A.
Step 2) Divide the ramp’s length into six equal parts and mark the six positions on the board with pieces of tape.
Step 3) Use either a stopwatch or a computer to measure the time it takes the ball to roll down the ramp from each of the six points.
Step 4) Graph your data, plotting distance (vertical axis) vs. average time (horizontal axis) on an overhead transparency.
Step 5) Repeat Steps 2–4 with the incline set at an angle 5° steeper. Record your data in Data Table B. Graph your data as in Step 4.
Step 6) Remove the tape marks and place them at 10 cm, 40 cm, 90 cm, and 160 cm from the stopping block. Set the incline of the ramp to be about 10 degrees.
Step 7) Measure the time it takes for the ball to roll down the ramp from each of the four release positions
Step 8) Graph your data, plotting distance (vertical axis) vs. time (horizontal axis) on an overhead transparency.
Step 9) Complete the data table
Step 1) Set up a ramp with the angle of the incline at about 10° to the horizontal, as shown in Figure A.
Step 2) Divide the ramp’s length into six equal parts and mark the six positions on the board with pieces of tape.
Step 3) Use either a stopwatch or a computer to measure the time it takes the ball to roll down the ramp from each of the six points.
Step 4) Graph your data, plotting distance (vertical axis) vs. average time (horizontal axis) on an overhead transparency.
Step 5) Repeat Steps 2–4 with the incline set at an angle 5° steeper. Record your data in Data Table B. Graph your data as in Step 4.
Step 6) Remove the tape marks and place them at 10 cm, 40 cm, 90 cm, and 160 cm from the stopping block. Set the incline of the ramp to be about 10 degrees.
Step 7) Measure the time it takes for the ball to roll down the ramp from each of the four release positions
Step 8) Graph your data, plotting distance (vertical axis) vs. time (horizontal axis) on an overhead transparency.
Step 9) Complete the data table
Supplies/Equipment:
1) 2-meter ramp
2) steel ball bearing or marble
3) wood block
4) stopwatch
5) tape
6) meter stick
7) protractor
1) 2-meter ramp
2) steel ball bearing or marble
3) wood block
4) stopwatch
5) tape
6) meter stick
7) protractor
Data Tables:
Video:
Graphs:
Analysis Questions:
1.) What is Acceleration
Acceleration is the rate at which the velocity of an object changes over time
2.) Does the ball accelerate down the ramp? Cite evidence to defend your answers
The ball is accelerating down the ramp as you see in data table 1, trial 1 takes
3.) What happens to the acceleration if the angle of the ramp is increased
The acceleration of the ball increases when the ramp is increased.
4.) What happens to the speed of the ball as it rolls down the ramp? Does it increase, decrease, or remain constant?What evidence can you cite to support your answer?
When the ball rolls down the ramp, the speed accelerates;increases;
5.)Do balls of different mass have different accelerations?
The mass of the ball does not affect the acceleration because it has the same incline.
6.) What is the relation between the distances traveled and the squares of the first four integers.
7.) Is the distance the ball rolls proportional to the square of the “natural” unit of time?
8.) What happens to the acceleration of the ball as the angle of the ramp is increased?
As the angle of the ramp increases, the speed of the ball increases.
9.) Instead of releasing the ball along the ramp, suppose you simply dropped it. It would fall about 5 meters during the first second. How far would it freely fall in 2 seconds? 5 seconds? 10 seconds?
The ball would freely fall about 10 meters during the first 2 seconds. During the first 5 seconds, it would fall about 25 meters. After 10 seconds, if the ball was dropped, it would fall at about 50 meters.
10.) How do the slopes of the lines in your graphs of speed vs. time relate to the acceleration of the ball down the ramp?
A higher slope makes the fast the time is for example in Data Table 1 (10 degrees) from 100.2 rolling down to the bottom it took an average of 2.07 seconds and in Data table 2 (15 degrees) the average time it took was 1.71 seconds thats a big difference so when you have a bigger slope you have a faster time.
11.) As the angle of the ramp increased, the acceleration of the ball increased. Do you think there is an upper limit to the acceleration of the ball down the ramp? What is it?
The angle of the ramp increased and that made the acceleration increase, if you increase the ramp the faster the ball will go.
1.) What is Acceleration
Acceleration is the rate at which the velocity of an object changes over time
2.) Does the ball accelerate down the ramp? Cite evidence to defend your answers
The ball is accelerating down the ramp as you see in data table 1, trial 1 takes
3.) What happens to the acceleration if the angle of the ramp is increased
The acceleration of the ball increases when the ramp is increased.
4.) What happens to the speed of the ball as it rolls down the ramp? Does it increase, decrease, or remain constant?What evidence can you cite to support your answer?
When the ball rolls down the ramp, the speed accelerates;increases;
5.)Do balls of different mass have different accelerations?
The mass of the ball does not affect the acceleration because it has the same incline.
6.) What is the relation between the distances traveled and the squares of the first four integers.
7.) Is the distance the ball rolls proportional to the square of the “natural” unit of time?
8.) What happens to the acceleration of the ball as the angle of the ramp is increased?
As the angle of the ramp increases, the speed of the ball increases.
9.) Instead of releasing the ball along the ramp, suppose you simply dropped it. It would fall about 5 meters during the first second. How far would it freely fall in 2 seconds? 5 seconds? 10 seconds?
The ball would freely fall about 10 meters during the first 2 seconds. During the first 5 seconds, it would fall about 25 meters. After 10 seconds, if the ball was dropped, it would fall at about 50 meters.
10.) How do the slopes of the lines in your graphs of speed vs. time relate to the acceleration of the ball down the ramp?
A higher slope makes the fast the time is for example in Data Table 1 (10 degrees) from 100.2 rolling down to the bottom it took an average of 2.07 seconds and in Data table 2 (15 degrees) the average time it took was 1.71 seconds thats a big difference so when you have a bigger slope you have a faster time.
11.) As the angle of the ramp increased, the acceleration of the ball increased. Do you think there is an upper limit to the acceleration of the ball down the ramp? What is it?
The angle of the ramp increased and that made the acceleration increase, if you increase the ramp the faster the ball will go.
Calculations:
displacement
------------------ = average velocity
average time
Data Table 10 degrees
100.2 / 2.07 = 48.4
80.2 / 19.3 = 41.6
60.2 / 1.45 = 41.6
40.2 / 1.35 = 29.7
20.2 / 1.59 = 12.7
0 / 0.97 = 0
Data Table 15 degrees
100.2 / 1.71 = 58.6
80.2 / 1.60 = 50.1
60.2 / 1.55 = 38.9
40.2 / 1.34 = 30
20.2 / 1.21 = 16.7
0 / 0.93 = 0
Data Table 10 degrees (160 cm)
10 / 1.35 = 7.4
40 / 1.78 - 22.5
90 / 2.84 = 31.7
160 / 3.17 - 50.5
displacement
------------------ = average velocity
average time
Data Table 10 degrees
100.2 / 2.07 = 48.4
80.2 / 19.3 = 41.6
60.2 / 1.45 = 41.6
40.2 / 1.35 = 29.7
20.2 / 1.59 = 12.7
0 / 0.97 = 0
Data Table 15 degrees
100.2 / 1.71 = 58.6
80.2 / 1.60 = 50.1
60.2 / 1.55 = 38.9
40.2 / 1.34 = 30
20.2 / 1.21 = 16.7
0 / 0.93 = 0
Data Table 10 degrees (160 cm)
10 / 1.35 = 7.4
40 / 1.78 - 22.5
90 / 2.84 = 31.7
160 / 3.17 - 50.5
Conclusion:
The lab was to determine the relationships between distance and time. The way it was done was by rolling a ball down an incline. To figure that out, the incline was changed throughout the experiment to establish if the higher the incline, the fast the ball would roll or the smaller the incline, the faster it would go. To conclude the results, the higher the incline, the faster the ball would roll down the ramp, which made the time decrease as well. When the incline was at a smaller incline, the ball rolled down slower, increasing the time.
The lab was to determine the relationships between distance and time. The way it was done was by rolling a ball down an incline. To figure that out, the incline was changed throughout the experiment to establish if the higher the incline, the fast the ball would roll or the smaller the incline, the faster it would go. To conclude the results, the higher the incline, the faster the ball would roll down the ramp, which made the time decrease as well. When the incline was at a smaller incline, the ball rolled down slower, increasing the time.