- #1
Karhitect
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Homework Statement
6. A stunned Batman finds himself in a vault on a ledge. In an attempt the trap him the Joker runs out of the vault while the door closes. Batman fires a grappling hook into the ceiling at an angle, θ, attached to a line of length, L , and manages to pull himself off the ledge swinging down to the floor below. At the very bottom of the swing he let's go of the line to the grappling hook in an attempt to slide the rest of the way out of the door. Find an equation for how far Batman slides, x, as a function of L, θ and μk, the coefficient of kinetic friction between Batman and the floor. If the door is 9.00 meters away and the length of the line is 6.00 meters, the angle 60 degrees and the coefficient of friction 0.250 did Batman make it out? If he did, how fast was he sliding when he went through the door?
Homework Equations
fk (x)=E1 -E2
started out with that equation
The Attempt at a Solution
E1=mgL(1-cosθ)
E2=1/2mv2
fk=μkmg
so,
μkmg(x)=mgL(1-cosθ)-1/2mv2
then,
x=L(1-cosθ)/μk - v2 /2μkg
thats what i got for the equation but I am not sure its right because when i try to use it to find how far he slides i can't because i don't know what v is. I am really lost.