A specimen is originally $300$ mm long, has a diameter of $14$ mm $,$ and is subjected to a force of $2$ kN $.$ When the force is increased from $2$ kN to $9\mathrm{.}5$ kN $,$ the specimen elongates $0\mathrm{.}225$ mm $.$

Part A

Determine the modulus of elasticity for the material if it remains linear elastic.

Express your answer to three significant figures and include the appropriate units.