- #1
TheChemist_
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Homework Statement
So here is the Problem: A big truck (m=50t) is going at 100km/h. Now the truck can't brake anymore and Superman comes to aid. He (has a mass of m=100kg) tries to stop the truck while he is wearing shoes with a rubber-texture and a friction coefficient of µ = 0.8. Assume that F(brake) (the deceleration applied by superman) of superman is anti-parallel to the movement of the truck.
a) How long is the braking distance?
b) How can Superman minimize the braking distance? Reminder: The road should still be intact and remember that Superman is also super-strong. A simple sentence is enough
Homework Equations
The Attempt at a Solution
I have thought about this problem but I am still very insecure if my attempt can be correct. I assumed that I can use the formula for s (distance) from the "Velocity-indipendent-friciton" we learned which would be:
s(T) = 1/2*(v₀^2/(g*µ)) T is the moment when the truck stops
v₀ = 27.77m/s (100km/h)
g = 9.81 m/s
µ = 0.8
I used the formula s(t) = v₀*t - 1/2(µ*g*t^2) and inserted T = v₀ / (µ*g)
I really need advice on this one and I don't know if my thought process is correct.
Thx