1. The problem statement, all variables and given/known data
A block of mass m is at rest at the origin at t=0. It is pushed with constant force F0 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.
2. Relevant equations
ax = (dvx/dx)vx
a = (F0 - mg(1-x/L))/m
3. The attempt at a solution
√(2L(F0m−μ0g))+√μ0gL
and it wrong
A block of mass m is at rest at the origin at t=0. It is pushed with constant force F0 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.
2. Relevant equations
ax = (dvx/dx)vx
a = (F0 - mg(1-x/L))/m
3. The attempt at a solution
√(2L(F0m−μ0g))+√μ0gL
and it wrong
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