Work the following problems and determine their results along with their uncerta

Question

Work the following problems and determine their results along with their uncertainties. Write your final answers on the space provided for. (a) 4.3 plusminus 0.1 + 9.7 plusminus 0.1 (b) 46.76 plusminus 0.02 + 4.9 plusminus 0.1 (c) 18.36 plusminus 0.02 - 8.72 plusminus 0.02 (d) 9.153 plusminus 5 - 1.200 plusminus 100 (e) (19.75 plusminus 0.01 cm/sec) times (60 plusminus 1 sec) = ___ (f) (69.75 plusminus 0.01 ml) times (13.4652 plusminus 0.0001 g/ml) = ___ (g) (1, 530 plusminus 10 m/sec)/(10 plusminus 1 sec) = ____ (h) (5.93 plusminus 0.1 kg) times (1.530 plusminus 10 m/sec)/(30 plusminus 1 sec) = ____ Work the following problems and circle the "maximum" uncertainty in each of the following multiplication, division, addition, and subtraction problems. Write your final answers on the space provided for. (a) 1.5 times 1.5 (b) 150/30 plusminus 2

Explanation / Answer

4.

a) The Sum of the values is 14.0 and the resultant uncertainty is +/- 0.2.

b) The result would be 9.64 and uncertainty is -/+ 0.04.

c) The Sum of the values is 51.66 and the resultant uncertainty is +/- 0.12.

d) The result would be 7,953 and uncertainty is -/+ 105.

e) The uncertainty of the first term is 0.01 which is equivalent to 0.05 % and for second term uncertainty is 1 which gives 1.67 %.

Thus the result is 1,185 cm and the uncertainty is 1.72 % i.e. +/-20.382 cm.

f) The uncertainty of the first term is 0.01 which is equivalent to 0.014 % and for second term uncertainty is 0.0001 which gives 7.43*10-6 %.

Thus the result is 939.1977 g and the uncertainty is 0.014 % i.e. +/- 0.1315 g.

g) The uncertainty of the first term is 10 which is equivalent to 0.65 % and for second term uncertainty is 1 which gives 10 %.

Thus the result is 153 m/s2 and the uncertainty is 10.65 % i.e. +/- 16.2945 m/s2.

h) The uncertainty of the first term is 0.1 which is equivalent to 1.69 % and for second term uncertainty is 10 which gives 0.65 % while in the case of the third term we have uncertainty 1 which gives 3.33 %.

Thus the result is 302.43 kgm/s2 and the uncertainty is 5.67 % i.e. +/- 17.147781 kgm/s2.

5.

a) The resultant is 2.25 with +/- 0 max uncertainty.

b) The resultant is 5 with the max uncertainty of 6.67 % i.e. 0.3335.

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