M2 Lab Report PDF

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M2 Lab Report: V1-1: For this experiment we were given to balls, a nylon ball and steel ball. We dropped both balls using a drop box, from various positions 5 times each, onto a flight pad to measure the times it took for the balls to fall. We measured and recorded d and y after every readjustment of the drop box. Nylon Ball d (cm) y (cm) t (s) 28 28 28 28

cm cm cm cm

14.5 14.5 14.5 14.5

cm cm cm cm

0.2054 0.1714 0.1711 0.1712

0.04219 0.02938 0.02928 0.02931

28 cm 32.1 cm 32.1 cm 32.1 cm 32.1 cm 32.1 cm 34.6 cm 34.6 cm 34.6 cm

14.5 19.7 19.7 19.7 19.7 19.7 22.5 22.5 22.5

cm cm cm cm cm cm cm cm cm

0.1712 0.1994 0.2116 0.1995 0.1996 0.2006 0.2120 0.2123 0.2125

0.02931 0.03976 0.04478 0.03980 0.03984 0.04024 0.04494 0.04507 0.04516

34.6 34.6 39.5 39.5 39.5 39.5

22.5 22.5 27.5 27.5 27.5 27.5

cm cm cm cm cm cm

0.2121 0.2124 0.2357 0.2357 0.2356 0.2356

0.04499 0.04511 0.05555 0.05555 0.05551 0.05551

cm cm cm cm cm cm

39.5 44.5 44.5 44.5 44.5 44.5 49.5

cm cm cm cm cm cm cm

27.5 32.2 32.2 32.2 32.2 32.2 37.0

cm cm cm cm cm cm cm

0.2357 0.2568 0.2566 0.2568 0.2569 0.2568 0.2763

0.05555 0.06595 0.06584 0.06595 0.06560 0.06595 0.07634

49.5 49.5 49.5 49.5

cm cm cm cm

37.0 37.0 37.0 37.0

cm cm cm cm

0.2781 0.2774 0.2772 0.2775

0.07734 0.07695 0.07684 0.07701

y vs t^2 Nylon Ball 0.09 0.08 f(x) = 0 x + 0.03

0.07

y (cm)

0.06 0.05 0.04 0.03 0.02 0.01 0

0

5

10

15

20

t^2 (sec^2) Linear ()

25

30

35

By using excel and the LINEST method I was given the slope and its uncertainty: Slope: 484.88 cm/sec

Uncertainty: 15.0137 cm/sec

To find gravity and its uncertainty I used the slope given by the graph.

d (cm) 28 28 28 28

cm cm cm cm

Steel Ball y (cm) t(s) 14.8 14.8 14.8 14.8

cm cm cm cm

0.1725 0.1724 0.1716 0.1718

0.02976 0.02972 0.02945 0.02952

28 cm 32.1 cm 32.1 cm 32.1 cm 32.1 cm 32.1 cm

14.8 19.8 19.8 19.8 19.8 19.8

cm cm cm cm cm cm

0.1709 0.2004 0.2005 0.2014 0.1990 0.1991

0.02921 0.04016 0.04020 0.04056 0.03960 0.03964

34.6 cm

22.6 cm

0.2118

0.04486

34.6 34.6 34.6 34.6

cm cm cm cm

cm cm cm cm

0.2117 0.2119 0.2134 0.2119

0.04482 0.04490 0.04554 0.04490

39.5 cm 39.5 cm

27.7 cm 27.7 cm

0.2348 0.2367

0.05513 0.05603

39.5 39.5 39.5 44.5 44.5 44.5

27.7 27.7 27.7 32.5 32.5 32.5

cm cm cm cm cm cm

0.2351 0.2374 0.2352 0.2566 0.2568 0.2567

0.05527 0.05636 0.05532 0.06584 0.06595 0.06590

44.5 cm 44.5 cm 49.5 cm

32.5 cm 32.5 cm 37.2 cm

0.2568 0.2571 0.2761

0.06595 0.06610 0.07623

49.5 49.5 49.5 49.5

37.2 37.2 37.2 37.2

0.2765 0.2764 0.2764 0.2764

0.07645 0.07640 0.07640 0.07640

cm cm cm cm cm cm

cm cm cm cm

22.6 22.6 22.6 22.6

cm cm cm cm

y vs t^2: Steel Ball 0.09 0.08 f(x) = 0 x + 0.02

0.07

Y (cm)

0.06 0.05 0.04 0.03 0.02 0.01 0

0

5

10

15

20

25

30

35

t^2 (sec^2) Linear ()

By using excel and the LINEST method I was given the slope and its uncertainty: Slope: 479.95 cm/sec Uncertainty: 2.8164 cm/sec

To find gravity and its uncertainty I used the slope given by the graph.

The values of g are very similar to each and the value of g for the nylon ball is greater than the steel ball. The accepted value of g of 980 cm/s^2 is within the range of both values of g. V1-2: d vs t^2: Nylon Ball 0.09 0.08 f(x) = 0 x + 0.03

0.07

d (cm)

0.06 0.05 0.04 0.03 0.02 0.01 0

0

5

10

15

20

25

30

t^2 Linear ()

By using excel and the LINEST method I was given the slope and its uncertainty: Slope: 470.44 cm/sec uncertainty:13.296 cm/sec

To find gravity and its uncertainty I used the slope given by the graph.

35

d vs t^2: steel ball 0.09 0.08 0.07

f(x) = 0 x − 0.03

d (cm)

0.06 0.05 0.04 0.03 0.02 0.01 0 25

30

35

40

45

50

55

t^2 (sec^2) Linear ()

By using excel and the LINEST method I was given the slope and its uncertainty: Slope:463.87 cm/sec Uncertainty:3.450 cm/sec

To find gravity and its uncertainty I used the slope given by the graph.

The uncertainty in g based on the measurement of d is less than the measurements of y....