According to Newton’s law of cooling, the time t needed for an object at an initial temperature 
to cool to a temperature T in an environment with ambient temperature 
is given by 
here k is a constant. Assume that for a certain type of container, k = 0.025 min–1. Let t be the number of minutes needed to cool the container to a temperature of 50°F. Assume that 
= 70.1 ± 0.2°F and 
= 35.7 ±
0.1°F. Estimate t, and find the uncertainty in the estimate.
According to Newton’s law of cooling, the time t needed for an object at an initial temperature to cool to a temperature T in an environment with ambient temperature
is given by
here k is a constant. Assume that for a certain type of container, k = 0.025 min–1. Let t be the number of minutes needed to cool the container to a temperature of 50°F. Assume that = 70.1 ± 0.2°F and = 35.7 ± 0.1°F. Estimate t, and find the uncertainty in the estimate.
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