Question

In Problem Set 1, 1F-7b asks you to evaluate dm/dv for m = m0 [1-(v^2/c^2)]^(-1/2). How would you do this? The "0" in "m0" is meant to be a subscript and "c" is a constant. I have been trying to use the product rule but I don't know how to deal with the m0.

Answer 1

I would say that it is a chain rule problem and that m0 is just another constant. Later, you may consider it to be the initial value in a differential equation. But, in this situation it would still be "just a number" that is treated like a constant coefficient.

Answer 2

what is problem set 1?

Answer 3

are you in MIT??????

Answer 4

No I was trying to do the Assignments provided by the Open Course Ware.

Answer 5

ya thinking so.....

Answer 6

Since you have constants, the problem would be like taking the derivative of \[7[1-v ^{2}/9]^{-1/2}\] You just have m0 where my 7 is and c62 where my 9 is. Use the chain rule.

Answer 7

Okay thank you!

Answer 8

Thanks, that helped me!