A single-car loop-the-loop ride is launched by means of a giant spring ( kN/m).
ID: 2133538 • Letter: A
Question
A single-car loop-the-loop ride is launched by means of a
giant spring ( kN/m). The car ( kg) is placed at rest against the spring which has been
compressed by a distance, . When released, the spring propels the car into a frictionless vertical circular track of radius m
a) Find an algebraic expression (that is without any
numerical values for the quantities) for the smallest that can be if the car is to stay
on the track.
b)Find a numerical value for d.
A single-car loop-the-loop ride is launched by means of a giant spring ( kN/m). The car ( kg) is placed at rest against the spring which has been compressed by a distance, When released, the spring propels the car into a frictionless vertical circular track of radius m Find an algebraic expression (that is without any numerical values for the quantities) for the smallest that page1image15264can be if the car is to stay on the track. Find a numerical value for d.Explanation / Answer
F=KX.....Here k is spring constant and x is dispacement.... this force causes to move the car in curved path... therefore k*x=m*v^2/r... dispacement x or d =m*v^2/(r*k).... here mi smass of the car....v is the velocity of car......... r is the radius of the track