The gravitational field in a region is given by vec(E) = (5hat(i) + 12 hat(j))N//Kg. The change in gravitational potential energy if a particle of mass 1 kg in taken from the origin to the point (12m, 5m).

The gravitational field in a region is given by vec(E) = (5hat(i) + 12

1.	The gravitational field in a region is given by vec(E) = (5hat(i) + 12 hat(j))N//Kg. The change in gravitational potential energy if a particle of mass 1 kg in taken from the origin to the point (12m, 5m).
Answer» Solution :`Delta vec(U) = m underset((0,0))OVERSET((12,5))int vec(E).vec(d r) = underset((0,0))overset((12,5))int (E_(x) HAT(i) + E_(y) hat(J)).(dx hat(i) + d y hat(j))` `= underset(0)overset(12)int E_(x)d + underset(0)overset(5)int E_(y)dy = underset(0)overset(12)int 5dx + underset(0)overset(5)int 12 dy` `= 5x]_(0)^(12) + 12y]_(0)^(5) = 60 + 60 = 120 J`