A scientist investigating Weber’s law detects a just-noticeable difference for a subject when shifting from a 5 kg to an 8 kg mass. When repeating the trial, how many kilograms must be added to a 15 kg mass to replicate the effect? A.6 kgB.9 kgC.18 kgD.24 kg
Question
A scientist investigating Weber’s law detects a just-noticeable difference for a subject when shifting from a 5 kg to an 8 kg mass. When repeating the trial, how many kilograms must be added to a 15 kg mass to replicate the effect? A.6 kgB.9 kgC.18 kgD.24 kg
Solution
Weber's law states that the ratio of the increment threshold to the background intensity is a constant. So, if a subject can just notice an increase in weight when the weight is increased from 5 kg to 8 kg, the increment threshold is 3 kg (8 kg - 5 kg = 3 kg).
The background intensity in this case is 5 kg. So, the ratio of the increment threshold to the background intensity is 3 kg / 5 kg = 0.6.
To find out how many kilograms must be added to a 15 kg mass to replicate the effect, we can set up the equation:
0.6 = x / 15 kg
Solving for x gives x = 0.6 * 15 kg = 9 kg.
So, 9 kg must be added to a 15 kg mass to replicate the effect.
Therefore, the answer is B. 9 kg.
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