\[(a)\;1000 \;J \quad (b)\;500 \;J\quad (c)\;250\;J \quad (d)\;10\; J\]

We need to apply an external force, $F=mg \sin \theta$ up the plane, while the body is in motion downwards.

$\Rightarrow W = F\;d = mg \sin \theta \; d$

Given $d=10\;m, m = 10 Kg, \theta = 30^\circ, g = 10 m/s^2$,

$W=10 \times 10 \times \sin 30 \times 10$

$\quad=100 \times \large\frac{1}{2}$$ \times 10$

$\quad=500\;J$

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