$(20$ pts$.)$ An athlete whirls a $4\mathrm{.}50-$kg hammer several times around and then releases it$.$ Although the purpose of whirling it around several times is to increase the hammer's speed, assume that just before the hammer is released, it moves at constant speed along a circular arc of radius $1\mathrm{.}35$ m $.$

At the instant she releases the hammer, it is $1\mathrm{.}75m$ above the ground and its velocity is directed $500$ above the horizontal. The hammer lands a horizontal distance of $73\mathrm{.}0$ m away.

What force does the athlete apply to the grip just before she releases it$?$ Ignore air resistance.