A $0\mathrm{.}140$ kg baseball is thrown horizontally with a velocity of $28\mathrm{.}9\frac{m}{s}.$ It is struck with a constant horizontal force that lasts for $1\mathrm{.}85$ ms $,$ which results in a velocity of $37\mathrm{.}0\frac{m}{s}$ in the opposite direction. What was the magnitude of the horizontal force?

$8$ An $82-kg$ diver stands at the edge of a light $5\mathrm{.}0-m$ diving board, which is supported by two vertical pillars $1\mathrm{.}6$ m apart, as shown in the figure. Find the magnitude and direction of the force exerted by each pillar.