A \( 1.00 \times 10^{2} \mathrm{~kg} \) crate is being pushed across a horizontal floor by a for...

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A \( 1.00 \times 10^{2} \mathrm{~kg} \) crate is being pushed across a horizontal floor by a force \( \vec{P} \) that makes an angle of \( 30.0^{\circ} \) below the horizontal. The coefficient of kinetic friction is \( 0.200 \). What should be the magnitude of \( \vec{P} \), so that the net work done by it and the kinetic frictional force is zero?
(A) \( 256 \mathrm{~N} \)
(B) \( 354 \mathrm{~N} \)
(C) \( 203 \mathrm{~N} \)
(D) \( 287 \mathrm{~N} \)
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