A body of mass "m" is let go from on top of a surface A, where it slides down to B(without friction). From that point on, it displaces itself on an horizontal surface 5 meters away from B, where it stops at C.
Being "m" a mass in kg
"h" in meters and g = 10 m/s^2
The value, in newtons, of the constant friction force F when the body dislocates itself is:
Ei = Ef
W = F.d
The Attempt at a Solution
My attempt was to set the change in kinetic energy equal to the total work. So therefore:
1/2mv^2 - mgh(converted from gravitational potential energy) = Tf
at the very end, velocity will be zero because it stops so:
-mgh = Tf
replacing the work done by friction:
-mgh = -F.5
.'. F = (10mh)/5 = 2mh
Is this approach correct? Would you guys suggest another one? Is another possible?