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# To calculate the acceleration due to gravity by dropping a ball from a certain distance and recording the time

Extracts from this document...

Introduction

Lab Report 3

Find acceleration due to gravity using ball drop method

Amine Alami IB1-3

Lab Report

Aim:

To calculate the acceleration due to gravity by dropping a ball from a certain distance and recording the time

Hypothesis:

it is expected that the gravity should be within the same range for each trial

Variables:

The independent variable = the distance

The dependent variable = the time

Controlled variables are: - the mass of the steel ball

- the position of the trip plate

-the length of the plumb line

Equipment:

-  meter stick , half meter stick

- 1 steel ball

- Boss and clamp

- Electronic Timing Device

- Release mechanism

- Plumb bob

-trip plate

Procedure:

- A steel ball was inserted between the jaws of the release mechanism

Middle

100 cm

0.456

8

100 cm

0.456

9

100 cm

0.452

10

100 cm

0.454

11

100 cm

0.452

12

100 cm

0.451

13

100 cm

0.448

14

100 cm

0.452

15

100 cm

0.448

16

100 cm

0.455

17

100 cm

0.448

18

100 cm

0.450

19

100 cm

0.450

20

100 cm

0.457

Table 2. The time it takes the ball to fall half a meter

 Trial Displacement(s)±0.5mm Time(t)±0.

Conclusion

= Sum/20

= 9.049/20

0.452 ± 0.006

s = ½ g t^2

1 = ½ g (0.452)^2

1/g = (0.452^2)/2

G= 2/(0.452^2)

G=9.79 ± 0.4

Average Time in Table 2 = Sum/20

= 6.331/20

0.317 ± 0.006

s = ½ g t^2

½  = ½ g (0.317) ^2

(1/2) / (1/2) = g (0.317)^2

1 = g (0.317)^2

g = 1 / (0.317)^2

G = 9.95 ± 0.4

- Percentage uncertainty of gravity 1 = (0.4/9.79) x 100 = 4.09%

- Percentage uncertainty of gravity 2= (0.4/9.95)x100 = 4.02%

Conclusion:

- The results were in the same range

- The firs gravity was very close to the ideal gravity

Evaluation:

- The method used was fairly accurate

-but there are many sources of error which may affect the result obtained using it

- Sources of Error:

- Air resistance is an error, but it has a slight effect

- The thumbscrew is clicked twice

- The thumbscrew wasn’t pressed properly

- The ball might not fall in the centre

- The clamp may move slightly upwards or downward after every few measurements

- The same person should press the thumbscrew through out all the experiment

- The thumbscrew should be pushed with quickly and firmly

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