- #1
Ruinmaniac
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Homework Statement
A block of mass m is at rest at the origin at t = 0. It is pushed
with constant force Fo from x = 0 to x = L across a horizontal
surface whose coefficient of kinetic friction is μk = μ0(1 - x/L).
That is, the coefficient of friction decreases from μ0 at x = 0 to
zero at x = L.
Prove that:
ax = vx dvx/dx
Then, find an expression for the block’s speed as it reaches position L.
Homework Equations
F = ma
Fk = μkn
The Attempt at a Solution
I actually have no idea how to even approach this question, it was in the challenge problem set of my class year 1 physics textbook.
I know that vx = dx/dt, and if I was to sub that into the equation I have to prove, it makes sense, but I do not know how to actually prove it. For the second part, I actually have no idea whatsoever. Thanks for helping the poor new engineering student.
-Question taken from Physics for Scientists and Engineers 3rd Ed, Knight-