Question

The gravitational field in a region is given by E = ( 2 i+ 3 j) N/kg. Show that no work is done by the gravitational field when a particle is moved on the line 3 y + 2 x = 5.
[Hint : If a line y = mx + c makes angle θ with the X-axis, m = tanθ]

Answer 1

Since, the direction of field and the displacement are perpendicular, is done by the particle on the line.