- #1
stella77
- 4
- 0
Conservation of Energy please help!
An 840 kg roller coaster car is launched from a giant spring of constant k=31kN/m into a frictionless loop-the-loop track of radius 6.2m, what is the minimum amount that the spring must be compressed if the car is to stay on the track?
v=n+mg = (mv^2)/r
v= √(gr)
mgh=0.5mv^2
mgh=0.5mv^2
mgh=0.5m √(gr)^2
mgh=0.5mgr
h = 0.5r
h= 3.1 m
and I am stuck after this... please help...
Homework Statement
An 840 kg roller coaster car is launched from a giant spring of constant k=31kN/m into a frictionless loop-the-loop track of radius 6.2m, what is the minimum amount that the spring must be compressed if the car is to stay on the track?
Homework Equations
v=n+mg = (mv^2)/r
v= √(gr)
mgh=0.5mv^2
The Attempt at a Solution
mgh=0.5mv^2
mgh=0.5m √(gr)^2
mgh=0.5mgr
h = 0.5r
h= 3.1 m
and I am stuck after this... please help...