The gravitational field in a region is given by (2 hat i +2 hat j ) N/kg. What is the work done by an external agent to slowly shift a particle of mass 10 kg from the point (0,0) to a point (5m, 4m)?

Question

The gravitational field in a region is given by (2 hat i +2 hat j ) N/kg. What is the work done by an external agent to slowly shift a particle of mass 10 kg from the point (0,0) to a point (5m, 4m)? (A) 180 J (B) -180 J (C) 90 J (D) -90 J

Tardigrade Admin · Accepted Answer

W =- m Δ v =- m ( vec E ⋅ vec dr ) vec dr =5 hat i +4 hat j W = -10(10+8)=-180 J

Q. The gravitational field in a region is given by $(2 \hat{i} + 2 \hat{j}) N / k g$ . What is the work done by an external agent to slowly shift a particle of mass $10 k g$ from the point (0,0) to a point (5m, 4m)?

$180 J$

$- 180 J$

$90 J$

$- 90 J$

$W = - m Δ v = - m (E \cdot d r)$
$d r = 5 \hat{i} + 4 \hat{j}$
$W = - 10 (10 + 8) = - 180 J$

Q. The gravitational field in a region is given by (2i^+2j^​)N/kg. What is the work done by an external agent to slowly shift a particle of mass 10kg from the point (0,0) to a point (5m, 4m)?

180J

−180J

90J

−90J