Ordinary scatter

A ball of mass 10 kg\SI{10}{\kilo\gram} hits a smooth horizontal surface with speed 102 m/s\SI[per-mode=symbol]{10\sqrt 2}{\meter\per\second} at an angle of 4545^\circ. The coefficient of restitution between the ball and surface is ϵ=0.5 \epsilon = \SI{0.5}{} and the ball remains in contact with the surface for 0.1 s\SI{0.1}{\second}. Let FF be the instantaneous force exerted by the ball at any time during the collision.

Find the average value of the force, given by F\langle F \rangle in N\si{\newton}.

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