Ball in Cup Lab
Objective:
Using the equipment provided and the physics equations used in class, get the ball in the cup in one attempt.
Hypothesis:
If we use the skills we have learned to analyze two-dimensional motion, then we can accurately predict where a ball will land when rolled off a table.
Materials:
3 Meter Sticks
Tape
Steel Ball
Balance
Plastic Cup
Protractor
Stopwatch
Plumb bob
Procedure:
Using two meter sticks and the tape, make a ramp for the steel ball to roll down. The ramp should extend from the top of the counter to the tabletop. Then roll the ball down the ramp and record the time it takes for the ball to roll off the ramp. Repeat this process to find the average time that will be used in the equations. Measure the height of the table from the floor. This will give you a distance in the y direction. You must also take into account the height of the cup so as to not hit the side of the cup when launching the ball. After collecting this data, plug it into the distance equation, making sure to separate the y and x components. In doing so you will obtain the position on the floor in which the ball should land. Also measure the diameter of the cup and place the center of it at the point you determine the ball will hit. Place the cup in this position then roll the ball down the ramp.
Data:
Measurements
Length of the Ramp
97.27 cm
Table Height
76.59 cm
Height of Cup
9.4 cm
Time Trial (Ramp to Table)
Times
Trial 1
2.14 s
Trial 2
1.42 s
Trial 3
1.57 s
Trial 4
2.04 s
Trial 5
2.05 s
Trial 6
1.52 s
Trial 7
1.91 s
Trial 8
1.50 s
Trial 9
1.52 s
Trial 10
2.02 s
Calculations
Initial Velocity of Ball (leaving table)
0.550 m/s
Average Time
1.775 s
Final Distance of the Cup from Table
21.7 cm
Final Trial
Did the ball land in the cup?
NO.
Conclusion:
In conclusion, our hypothesis stands true, but