I am facing a problem in Physics.
Problem: What will be the work done by the frictional force over a polynomial curve if a body is sliding on this polynomial(a+bx+cx2+dx3+…) curve from rest from the height h1 to height h2 (where h1>h2).
I tried to solve this as follows:
frictional force F=kmgcosθ, where mgcosθ is normal force at that point. k is coefficient of friction
Total work done=Line Integration over the polynomial(dot product of F and displacement).
But to go ahead from this point,i do not know.
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