Show that Newton's 2nd Law is Not valid in accelerating reference frame

[Tonia]

Homework Statement

Show that Newton's Second Law is NOT valid in a reference frame moving past the laboratory frame of problem 1 with a constant acceleration?
Problem 1: In a laboratory frame of reference, an observer notes that Newton's Second Law is valid. Show that it is also valid for an observer moving at a constant speed, small compared with the speed of light, relative to the laboratory frame.
dx^1/dt = dx/dt-v
d^2x^1/dt^2= d^2x/dt^2
force new = force old
acceleration = d^2x/dt^2 and if v is constant = dv/dt = 0

Homework Equations

F = ma

The Attempt at a Solution

I am not sure how to solve it

 

[FactChecker]

If F₁ = m₁a₁ measured in the Lab reference frame 1, which of F, m, and a, would be the same and which would be different if they are measured in an accelerating frame 2? If F₁ = F₂ and m₁ = m₂, but a₁ ≠ a₂, then you can say the F₂ ≠ m₂a₂

 

[Tonia]

Would the F and m be the same in the accelerating frame? If so, why?

 

[Tonia]

Let me try this again: F would change, and m would stay the same?