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in Physics by (84.6k points)
A moving perticle of mass `m` is acted upon by five forces `overset(vec)(F_(1)),overset(vec)(F_(2)),overset(vec)(F_(3)),overset(vec)(F_(4))` and `overset(vec)(F_(5))`. Forces `overset(vec)(F_(2))` and `overset(vec)(F_(3))` are conservative and their potential energy funcations are `U` and `W` respectively. Speed of the particle changes from `V_(a)` to `V_(b)` when it moves from position `a` to `b`. Choose the correct option :
A. Sum of work done by `overset(vec)(F_(1)),overset(vec)(F_(4))` and `overset(vec)(F_(5)) = U_(b) - U_(a) + W_(b) - W_(a)`
B. Sum of work done by `overset(vec)(F_(1)),overset(vec)(F_(4))` and `overset(vec)(F_(5)) = U_(b) - U_(a) + W_(b) - W_(a) + (1)/(2)m(V_(b)^(2) - V_(a)^(2))`
C. Sum of work done by all five forces `= (1)/(2)m(V_(b)^(2) + V_(a)^(2))`
D. Sum of work done by `overset(vec)(F_(2))` and `overset(vec)(F_(3)) = (U_(b) + W_(b)) - (U_(a) + W_(a))`

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