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» <html><body><p></p>Solution :`Delta vec(U) = m underset((0,0))<a href="https://interviewquestions.tuteehub.com/tag/overset-2905731" style="font-weight:bold;" target="_blank" title="Click to know more about OVERSET">OVERSET</a>((12,5))int vec(<a href="https://interviewquestions.tuteehub.com/tag/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</a>).vec(d r) = underset((0,0))overset((12,5))int (E_(x) <a href="https://interviewquestions.tuteehub.com/tag/hat-1016178" style="font-weight:bold;" target="_blank" title="Click to know more about HAT">HAT</a>(i) + E_(y) hat(<a href="https://interviewquestions.tuteehub.com/tag/j-520843" style="font-weight:bold;" target="_blank" title="Click to know more about J">J</a>)).(dx hat(i) + d y hat(j))` <br/> `= 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` <br/> `= 5x]_(0)^(12) + 12y]_(0)^(5) = 60 + 60 = 120 J`</body></html>