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Problem $12\mathrm{.}127-$ Particle kinetics $-$ curvilinear motion, radial and transverse coordinates $-$ DEPENDENT MULTI$-$PART PROBLEM $-$ ASSIGN ALL PARTS

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part

The parasailing system shown uses a winch to pull the rider in toward the boat, which is traveling with a constant velocity. During the interval when $$ is between $20$ and $40($where $t=0$ at $=20),$ the angle increases at the constant rate of $2\%.$ During this time, the length of the rope is defined by the relationship $r=125-(\frac{1}{3})t^{\frac{3}{2}},$ where rand $t$ are expressed in meters and seconds, respectively. At the instant when the rope makes a $30$ angle with the water, the tension in the rope is $18$ kN $.$

Problem $12\mathrm{.}127.$b $-$ Particle kinetics $-$ curvilinear motion, radial and transverse coordinates

At this instant, what is the magnitude and direction of the force of the parasail on the $84$ kg parasailor?

The force of the parasail is $|$ N$.$

$$

The direction of the force of the parasail is $-8$