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  4. 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)?

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Q. 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)?

Gravitation

Solution:

$W =- m \Delta v =- m (\vec{ E } \cdot \vec{ dr })$
$\vec{ dr }=5 \hat{ i }+4 \hat{ j }$
$W = -10(10+8)=-180 J$