First slide

Conservative and non conservative forces

Question

A conservative force is acting on a particle. Work done by the force in displacing the particle from A to B is 90 J, from A to C is 140 J. Then the work done by the force in displacing the particle from B to C is

Moderate

A

80 J
B

230 J
C

60 J
D

50 J

Solution

Since work done by conservative force is independent of the path followed we can write
$W_{AB} + W_{BC} = W_{AC} \Rightarrow W_{BC} = W_{AC} - W_{AB} = (140 - 90) J = 50 J$

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