Physics · WORK, ENERGY AND POWER

Consider the following statements regarding the work done by a variable force: (A) In one dimension, the total work done by a variable force \( F(x) \) from position \( x_i \) to \( x_f \) is equal to the area under the \( F(x) \) versus \( x \) curve between these limits. (B) The area under the force-displacement curve on the negative side of the force axis contributes positively to the work done. (C) The work-energy theorem is valid for variable forces as well as constant forces. (D) Work done has the dimensional formula \( [\text{M}\text{L}^2\text{T}^{-2}] \). Choose the correct answer from the options given below:

1. (A) and (B) only
2. (B), (C) and (D) only
3. (A) and (C) only
4. (A), (C) and (D) only