A force F → = 2 + 3 x i ^ acts on a particle in the x direction where F is in Newton and x is in meter. The work done by this force during a displacement from x = 0 to x = 4 m is _____ J .

Step-by-step solution

The formula to calculate the work done by a variable force is given by W = ∫ x 1 x 2 F d x       . . . 1 Substitute the values of the known parameters into equation (1) to calculate the required work done. W = ∫ 0 4   ( 2 + 3 x ) d x = 2 x + 3 2 x 2 0 4 = [ 8 + 24 ]   J = 32   J