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A wooden block is kept on a table top. The mass of the wooden block is 5 kg and its dimensions are 40 cm × 20 cm × 10 cm. Find the pressure exerted by the wooden block on the table top if it is made to lie on the table top with its sides of dimensions (a) 20 cm × 10 cm and (b) 40 cm × 20 cm. |
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Answer» Mass of wooden block = 5 kg Dimension of the block = 40 cm × 20 cm × 10 cm= 0.4 m × 0.2 m × 0.1 m Force = mass × acceleration due to gravity= 5 kg × 9.8 m/s2 = 49 N (a) 20 cm × 10 cm Area = 20 cm × 10 cm = 0.2 m × 0.1 m = 0.02 m2 Pressure =\(\frac{Force}{Area}\) = \(\frac{49}{0.02}\) = 2450 N/m2 (b) 40 cm × 20 cm Area = 40 cm × 20 cm = 0.4 m × 0.2 m = 0.08 m2 Pressure =\(\frac{Force}{Area}\) = \(\frac{49}{0.08}\) = 612.5 N/m2. |
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