An athlete is tied to a 30-kg tire by a rope that makes an angle of 35 degrees above the horizontal. The coefficient of kinetic friction between the tire and the ground is 0.8. Starting from rest, she accelerates to 7 m/s horizontally. While she accelerates, the tension of the rope is "T" N.
a. What is the horizontal component of the tension of the rope?
b. What is the vertical component of the tension of the rope?
c. What is the magnitude of the normal force on the tire?
d. What is the magnitude of the friction force on the tire?
e. What is the magnitude of the tire's acceleration?
f. How much time does it take for her to accelerate from rest to 7 m/s?