olyethylene bar having diameter d$1=88\mathrm{.}9$ mm is placed inside a steel tube having inner diameter d$2=89\mathrm{.}2$ mm $($see figure$).$ The polyethylene bar is then compressed by an axial force P$.$At what value of the force P will the space between the polyethylene bar and the steel tube be closed? $($For polyethylene, assume modulus of elasticity E $=2758$ MPa and Poissons ratio $=0\mathrm{.}4)$