Show all work include a legend with a list of forces and show all starting equat
ID: 1351767 • Letter: S
Question
Show all work include a legend with a list of forces and show all starting equations and laws used to solve the problem.A car on a roller coaster of mass 600kg is traveling around the loop of a roller coaster:
A) What is the critical speed of the coaster ( the speed to make it around the loop at the top due to only the force of gravity) if the loop has a radius of 35m?
B) What is the force supplied by the track and in what direction does it point at the bottom of the loop if the car is traveling at the critical speed? Show all work include a legend with a list of forces and show all starting equations and laws used to solve the problem.
A car on a roller coaster of mass 600kg is traveling around the loop of a roller coaster:
A) What is the critical speed of the coaster ( the speed to make it around the loop at the top due to only the force of gravity) if the loop has a radius of 35m?
B) What is the force supplied by the track and in what direction does it point at the bottom of the loop if the car is traveling at the critical speed? Show all work include a legend with a list of forces and show all starting equations and laws used to solve the problem.
A car on a roller coaster of mass 600kg is traveling around the loop of a roller coaster:
A) What is the critical speed of the coaster ( the speed to make it around the loop at the top due to only the force of gravity) if the loop has a radius of 35m?
B) What is the force supplied by the track and in what direction does it point at the bottom of the loop if the car is traveling at the critical speed?
Explanation / Answer
A)
r = 35 m
critical speed at the bottom of loop must be
V = sqrt (5gr) = sqrt (5 x 9.8 x 35) = 41.4 m/s
b)
Fn = normal force by the track in up direction toward the center of loop
mg = weight
mv2 /r = centripetal force
force equation is given as
Fn - mg = mv2/r
Fn = mg + mv2/r = 600 x 9.8 + 600 (41.4)2 /35
Fn = 35262.2 N