Change in Mechanical energy

1. The problem statement, all variables and given/known dataA 0.5 kg bead slides on a curved wire, starting
from rest at point A.
The segment from A to B is frictionless, and
the segment from B to C is rough. The point
A is at height 4.9 m and the point C is at
height 1 m with respect to point B.
The acceleration of gravity is 9.8 m/s2 .If the bead comes to rest at C, find the change
in mechanical energy due to friction as it
moves from B to C.

2. Relevant equations K=.5mv^2, P=mgh

3. The attempt at a solutionOk so here is where I'm at. I know that the Kenetic energy at point "B" will be 24.01 J. So once it it climbs up to point "c" the ball stops which means that the veolocity is 0 m/s. So there is no kenetic energy at point "C". At point "C" the potential energy will be P=mgh, (.5)(9.8)(1)= 4.9 J And the K= 0 Only at point "c". I know that all of the energy must be conserved so-- K at b= P at c+ K at c + Energy due to friction. So the "Change in Mechanical Friction" should be my energy due to friction. Yes? or No?
 PhysOrg.com science news on PhysOrg.com >> Intel's Haswell to extend battery life, set for Taipei launch>> Galaxies fed by funnels of fuel>> The better to see you with: Scientists build record-setting metamaterial flat lens

Recognitions:
Gold Member
Homework Help