The gravitational field in a region is given by `vecE = (5hati + 12hatj )`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).

Explanation

`DeltavecU=m int_(0,0)^(12,5) vecE.vec(dr)=int_(0,0)^(12,5) (E_x hati+E_y hatj).(dx hati+dy hatj)`
`=int_0^12E_x dx+ int_0^5 E_y dy = int_0^12 5dx + int_0^5 12 dy`
`=5x]_0^12 + 12y]_0^5 =60+60`=120 J