Consider that, for the needs of a structural analysis using the Finite Element Method, the following system of equations

[answerhappygod]

Consider that, for the needs of a structural analysis using the
Finite Element Method, the following system of equations has been
formed and solved: {F} = [K] {U}, where, {F} is the vector of nodal
forces, [K] is the stiffness matrix of the structure considered,
and {U} is the vector of nodal displacements (all expressed in a
Global Cartesian Coordinate system). Assume that an alternative
design of the exact same structure was explored, where, compared to
the initial design, only the material was changed. A new analysis
was conducted and another system of equations was formed and
solved: {Fnew} = [Knew] {Unew}, where the index "new" denotes the
quantities associated to the design with the new material. Assume
that due to the change in material, [Knew] becomes 39-fold of [K].
If it was observed that {Unew} became 1/39-fold of {U}, then by how
many times has {Fnew} changed with regards to {F}?