The gravitational field in a region is given by equation E =(5 i +12 j ) N / kg . If a particle of mass 2 kg is moved from the origin to the point (12 m , 5 m ) in this region, the change in gravitational potential energy is

Question

The gravitational field in a region is given by equation E =(5 i +12 j ) N / kg . If a particle of mass 2 kg is moved from the origin to the point (12 m , 5 m ) in this region, the change in gravitational potential energy is (A) -225 J (B) -240 J (C) -245 J (D) -250 J

Tardigrade Admin · Accepted Answer

We have, d V=-E ⋅ d r=-(5 i +12 j ) ⋅(12 i +15 j ) =(60+60)=-120 The change in gravitational potential energy U=m d V=2 ×(-120)=-240 J

Q. The gravitational field in a region is given by equation $E = (5 i + 12 j) N / k g .$ If a particle of mass $2 k g$ is moved from the origin to the point $(12 m, 5 m)$ in this region, the change in gravitational potential energy is

-225 J

-240 J

-245 J

-250 J

We have,
$d V = - E \cdot d r = - (5 i + 12 j) \cdot (12 i + 15 j)$
$= (60 + 60) = - 120$
The change in gravitational potential energy
$U = m d V = 2 \times (- 120) = - 240 J$

Q. The gravitational field in a region is given by equation E=(5i+12j)N/kg. If a particle of mass 2kg is moved from the origin to the point (12m,5m) in this region, the change in gravitational potential energy is