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PLEASE ANSWER BOTH QUESTIONS! (1) A 2.4 kg particle moves along an x axis, being propelled...

PLEASE ANSWER BOTH QUESTIONS!

(1) A 2.4 kg particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by x = 3.0 m + (4.0 m/s)t + ct2 - (1.8 m/s3)t3, with x in meters and t in seconds. The factor c is a constant. At t = 3.0 s, the force on the particle has a magnitude of 36 N and is in the negative direction of the axis. What is c?

(2) An amusement park ride consists of a car moving in a vertical circle on the end of a rigid boom of negligible mass. The combined weight of the car and riders is 4.5 kN, and the circle's radius is 12 m.

(a) At the top of the circle, what are the magnitude FB and direction (up or down) of the force on the car from the boom if the car's speed is v = 6.0 m/s?

(b) At the top of the circle, what are the magnitude FB and direction (up or down) of the force on the car from the boom if the car's speed is v = 16 m/s?

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