Consider the relation w=2 q t^2/m^3.

How would w change if m wre increased by a
factor of 2?

Thank you very much...

To determine how the relation w=2qt^2/m^3 would change if m is increased by a factor of 2, we need to understand the effect of this change on the equation.

Given that we have the relation w = 2qt^2/m^3, where w, q, t, and m are variables, let's first isolate the variable m and substitute it with 2m in the equation:

w = 2qt^2/(2m)^3

Simplifying the equation:

w = 2qt^2/8m^3

Further simplification:

w = qt^2/4m^3

Therefore, if m is increased by a factor of 2, the variable m in the relation is substituted with 2m, resulting in the new relation w = qt^2/4(2m)^3.

The change in w can be seen as a reciprocal relationship with m^3 in the denominator. When m increases by a factor of 2, the denominator increases by 2^3 = 8, causing the overall fraction to decrease by a factor of 8. Therefore, w will decrease by a factor of 8.