We all have a tendency to make illusory correlations from time to time. Try to think of an illusory correlation that is held by
1 answer:
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A) Conversion from Fahrenheit to Celsius:
The relationship between the two scales is the following
where
is the temperature in Fahrenheit
is the temperature in Celsius
Re-arranging the formula, we find the inverse relationship:
and we can use this equation to convert
into Celsius:
(b) Conversion to Kelvin scale:
The conversion between Celsius scale and Kelvin scale is easier:
where
is the temperature in Kelvin. Using 
, we find
The relationship between the two scales is the following
where
Re-arranging the formula, we find the inverse relationship:
and we can use this equation to convert
(b) Conversion to Kelvin scale:
The conversion between Celsius scale and Kelvin scale is easier:
where
The formula for the period of the pendulum is
where L is the pendulum's length and g the gravitational acceleration.
Labeling with E the Earth and with M Mars, we can write the period of the pendulum on Earth as
and the period of the pendulum on Mars as
if we calculate the ratio, we get
but we know that the gravitational acceleration on Mars is 0.37 times the gravitational acceleration on Earth:
Substituting into the formula, we find
And so, the period of the pendulum on Mars is
where L is the pendulum's length and g the gravitational acceleration.
Labeling with E the Earth and with M Mars, we can write the period of the pendulum on Earth as
and the period of the pendulum on Mars as
if we calculate the ratio, we get
but we know that the gravitational acceleration on Mars is 0.37 times the gravitational acceleration on Earth:
Substituting into the formula, we find
And so, the period of the pendulum on Mars is