# Free Fall Lab

**Topics:**Gravitation, Acceleration, General relativity

**Pages:**3 (445 words)

**Published:**October 18, 2008

Free Fall Lab

Purpose:

to use collected data and the kinematics equations to determine the value of local gravity

Data:

height 161 cm(1 m/100 cm) = 1.61 m

mass of small ball 16.5 g

mass of big ball 28.0 g

12345678910Average

Small0.585

sec0.571

sec0.567

sec0.571

sec0.571

sec0.572

sec0.571

sec0.574

sec0.576

sec0.571

sec0.573

sec

Big0.573

sec0.568

sec0.569

sec0.569

sec0.570

sec0.569

sec0.571

sec0.563

sec0.571

sec0.570

sec0.569

sec

Analysis of Data:

1. Determine the average time of each set of ten drops.

See data table.

2. Use the average time, height and kinematics equations to determine local gravity.

Small Ball: ∆y = vit+(1/2)at2

1.61 = (0*0.573)+(1/2)a(0.5732)

a = 9.81 m/s2

Big Ball: ∆y = vit+(1/2)at2

1.61 = (0*0.569)+(1/2)a(0.5692)

a = 9.95 m/s2

3. Calculate the percent error between each calculated local gravity and the accepted value of gravity, 9.8 m/s2.

Small Ball: [(9.81–9.8)/9.8]*100 = 0.10%

Big Ball: [(9.95-9.8)/9.8]*100 = 1.53%

4. How do the drop times compare between the two different sized balls? Is this consistent with the concepts learned in class? Explain.

The drop times between the two different sized balls are very similar. The difference

between the two averages is only 0.004 seconds. This is consistent with the concepts

learned in class; we learned that all objects fall at the same rate. The two balls fell at very

close rates.

Error Analysis:

Air resistance could have caused the smaller ball to fall at a slightly slower rate. Also, the machine might not have been reset to zero before the ball was released. See #3 of the “Analysis of Data” section for percent error calculations.

Conclusion:

All objects, no matter what the volume or mass, fall at the same rate, as seen by the very close gravity values of the 16.5 g ball and 28.0 g ball. This lab was easy and quick to do. The only problem was...

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