1. Plot a suitable graph 2.calculate the slope of the graph 3. Determine a value for g, the acceleration due to gravity 4.Determine the percentage difference between your experimentally determined value and the accepted value for g
1. Plot a suitable graph 2.calculate the slope of the graph 3. Determine a value for g, the acceleration due to gravity 4.Determine the percentage difference between your experimentally determined value and the accepted value for g
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Question
1. Plot a suitable graph
2.calculate the slope of the graph
3. Determine a value for g, the acceleration due to gravity
4.Determine the percentage difference between your experimentally determined value and the accepted
value for g
Transcribed Image Text:Results:
Average t^2
Time (s) (s^2)
Height
Time t
Time t
Time t
(s)
Readings
h(m)
(s)
(s)
Readings 2
Readings
1
3
0.1
0.129
0.131
0.131
0.130
0.0169
0.2
0.196
0.196
0.196
0.196
0.0384
0.3
0.237
0.238
0.238
0.237
0.0529
0.4
0.280
0.277
0.277
0.278
0.0772
0.5
0.314
0.301
0.306
0.307
0.094
0.6
0.343
0.344
0.341
0.343
0.118
0.7
0.372
0.371
0.371
0.371
0.138
0.8
0.391
0.398
0.396
0.395
0.156
0.9
0.422
0.412
0.420
0.418
0.175
1.0
0.434
0.444
0.447
0.442
0.195
Transcribed Image Text:g by free-fall
Aim:
• To determine the acceleration due to gravity by free-call method
In this experiment, the motion of a small ball is investigated under free-fall. The time taken for the ball to drop
from a height is investigated as a function of the height.
A set of results should be recorded by systematically varying the height and noting the corresponding drop-
time, in each case. Measurements should be repeated as appropriate. A suitable table of results should be
recorded. By plotting and analysing a suitable graph, determine the acceleration due to gravity.
Theory
The motion of an object moving with a constant acceleration can be determined by the
equation of motion
1
ut i
at
where s = distance travelled, u = initial velocity, a = acceleration and t = time.
If the object falls from rest, then the initial velocity, u, is zero.
Also, if we replace the distance, s, by the vertical height, h, and the acceleration, a, by g, the
acceleration due to gravity, then the equation becomes
This equation suggests that to carry out our experiment we need to collect values of h and 1.
Furthermore, comparing h=gr² with the equation of a straight line, y=mx, allows us to
determine a value for g.
1
A plot of h versus will yield a straight line with a slope equal to
The experimental data therefore needs to be arranged under the headings of h, t and r.
The value of g, the acceleration due to gravity, can therefore be calculated from the slope of
the graph.
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