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The lecture Proportionality by Jared Rovny is from the course Methods and Common Calculations.
A quantity “a” is related to another quantity “b” by the proportionality a ∝ b^4. If b is halved, so that the new value is b' = b/2, what will be the new value for a, called a'?
Given the equation a = b^2 / c^4, what happens to a if b and c are both doubled?
A quantity ‘a’ is directly proportional to another quantity ‘c’ and inversely proportional to ‘b’ i.e., a∝c/b; what will happen to both ‘b’ and ‘c’ if the value of ‘a’ is increased by 4 times?
Given that Distance ∝ Time2, if we allow something to fall for twice as long, how much farther would it fall?
If a = b2 x c4, what will happen to the value of ‘a’ if the variables on the other side of the equation are cubed i.e., a = (b2)3 x (c4)3.
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Great lecture topic. Great setup to the course. This kind of math stuff (and its application) is key in Physics (and Gen Chem). My actual class would have been so much easier and more insightful if I was better versed in this stuff!