A moving particle of mass m is acted upon by five forces` vec(F)_(1),vec(F)_(2),vec_(F)_(3),vec(F)_(4)` and `vec(F)_(5`. Forces `vec(F)_(2)` and `vec(F)_(3)` are conservative and their potential energy functions are U and W respectively. Speed of the particle changes from `V_(a)` to `V_b` when it moves from position a to b. Which of the following statement is/are true – (a) Sum of work done by `vec(F)_(1),vec(F)_(4)` and `vec(F)_(5)=U_(b)-U_(a)+W_(b)-W_(a)`
(b) Sum of work done by `vec(F)_(1),vec(F)_(4)` and `vec(F)_(5)=U_(b)-U_(a)+W_(b)-W_(a)+1/2m(V_(a)^(2)-V_(a)^(2))`
(c) Sum of work done by all five forces `=1/2m(V_(b)^(2)-V_(a)^(2))`
(d) Sum of work done by `vec(F)_(2)` and `vec(F)_(3)=(U_(b)+W_(b))-(U_(a)+W_(a))`

Answer

(b),(c)