у (m) 31. A 4.00-kg particle moves QC from the origin to position T ©, having coordinates x = 5.00 m and y = 5.00 m (Fig. P7.31). One force on the particle is the gravita- tional force acting in the negative y direction. Using Equation 7.3, calculate the work done by the gravita- tional force on the parti- cle as it goes from O to © along (a) the purple path, (b) the red path, and (c) the blue path. (d) Your results should all be identical. Why? B) (5.00, 5.00) x (m) Figure P7.31 Problems 31 through 33

у (m) 31. A 4.00-kg particle moves QC from the origin to position T ©, having coordinates x = 5.00 m and y = 5.00 m (Fig. P7.31). One force on the particle is the gravita- tional force acting in the negative y direction. Using Equation 7.3, calculate the work done by the gravita- tional force on the parti- cle as it goes from O to © along (a) the purple path, (b) the red path, and (c) the blue path. (d) Your results should all be identical. Why? B) (5.00, 5.00) x (m) Figure P7.31 Problems 31 through 33