2. Susanimassand her height as 1. 42 m using a messuring tape marked in centimetres. a) Write Susan's height as.measured value i meas rement uncertainty. (2) (b) What is the sange of possible values of her ectual height? (2)

Question

2. Susanimassand her height as 1. 42 m using a messuring tape marked in centimetres. a) Write Susan's height as.measured value i meas rement uncertainty. (2) (b) What is the sange of possible values of her ectual height? (2)

Answer 1

**(a) Write Susan's height as a measured value ± measurement uncertainty.**Since the measuring tape is marked in centimeters, the smallest division is 1 cm. When making a measurement, we can reasonably assume we can determine the measurement to within half of the smallest division. Therefore, the uncertainty is ±0.5 cm, or ±0.005 m.Susan's height is then written as 1.420 m ± 0.005 m. (We add the zero to the hundredths place to be consistent with the uncertainty's precision.)**(b) What is the range of possible values of her actual height?**The range of possible values is found by adding and subtracting the uncertainty from the measured value.Lower bound: 1.420 m - 0.005 m = 1.415 mUpper bound: 1.420 m + 0.005 m = 1.425 mThe range of possible values for Susan's actual height is 1.415 m to 1.425 m.

Question

2. Susanimassand her height as 1. 42 m using a messuring tape marked in centimetres. a) Write Susan's height as.measured value i meas rement uncertainty. (2) (b) What is the sange of possible values of her ectual height? (2)

Solution

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