I ONLY need answers to C,D, and F! Just an instant before reaching the very bott
ID: 1377107 • Letter: I
Question
I ONLY need answers to C,D, and F!
Just an instant before reaching the very bottom of a semicircular section of a roller coaster ride, the automatic emergency brake inadvertently goes on. Assume the car has a total mass of 730kg , the radius of that section of the track is 55.0m , and the car entered the bottom after descending vertically (from rest) 30.0m on a frictionless straight incline.
A) If the braking force is a steady 1900N , determine the magnitude of the car's centripetal acceleration. [ans: 10.7 m/s^2]
B) In which direction is the cars centripetal acceleration? [ans: upward]
***C) Determine the normal force of the track on the car.(in N)
***D) Determine the magnitude of the tangential acceleration of the car. (in m/s^2)
E) Determine the direction of the tangential acceleration of the car. [ans: opposite velocity]
***F) Determine the total acceleration of the car. (in m/s^2)
I always award points, THANKS!
Explanation / Answer
C) N = m*(a+g)
= 730*(10.7+9.8)
= 14965 N
D) Friction = m*a_tan
a_tan = Friction/m
= 1900/730
= 2.6 m/s^2
F) a_total = sqrt(a_rad^2 + a_tan^2)
= sqrt(10.7^2 + 2.6^2)
= 11.01 m/s^2
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