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A wind with speed \( 40 \mathrm{~m} / \mathrm{s} \) blows parallel to the roof of a house. The area of the roof is \( 250 \mathrm{~m}^{2} \). Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be: \( \left(P_{\text {air }}=1.2 \mathrm{~kg} / \mathrm{m}^{3}\right) \quad \) [AIPMT (Cancelled) 2015]
(a) \( 4.8 \times 10^{5} \mathrm{~N} \), upwards
(b) \( 2.4 \times 10^{5} \mathrm{~N} \), upwards
(c) \( 2.4 \times 10^{5} \mathrm{~N} \), downwards (d) \( 4.8 \times 10^{5} \mathrm{~N} \), downwards
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