Answer :

The vertical distance of a 5.1 kilogram object moved against the gravitational field of the earth is calculated to be 5m.

When object moves upward then the work done by gravity is negative because the direction of gravity is opposite of the displacement. On the other hand, if an object moves downwards then the work done by gravity is positive as the gravity and the displacement will be in the same direction.

Work done is zero, when force and displacement are perpendicular to each another or when either force or displacement is zero.

The work done by gravity is :

W=m*g*h.

Given, m = 5.1 kg

W = 250 joules

We know that,  g=  -9.8m/s²( given against gravity )

h= W/ (m*g)

= 250/ {( 5.1 )* (-9.8)}

Vertical distance=  5 m

To know more about work done, refer

https://brainly.com/question/25573309

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