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A stone block has a length of 90 cm and a breadth of 25 cm. If its mass is 250 kg, find the pressure given by it on the ground.

A) 28.57 Pascals
B) 250 Pascals
C) 68.75 Pascals
D) 900 Pascals

User Fringley
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1 Answer

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Final answer:

To calculate the pressure exerted by the stone block, we must find the force due to its weight and divide by the area of contact. The correct pressure, using the mass and dimensions provided, is 10889 Pascals, which does not match any of the provided answer choices.

Step-by-step explanation:

The question asks us to calculate the pressure exerted by a stone block on the ground, given its dimensions and mass. To find the pressure, we need to first calculate the force, which is equal to the mass of the object multiplied by the acceleration due to gravity (approximately 9.81 m/s²). Then, we divide this force by the area of contact (the base area of the stone block). To calculate the area of the stone block, we convert the length and breadth from centimeters to meters (as pressure in Pascals is measured in Newtons per square meter). Therefore, the area A will be 90 cm × 25 cm = 0.9 m × 0.25 m = 0.225 m². The weight of the stone block, which corresponds to the force due to gravity, is 250 kg × 9.81 m/s² = 2452.5 N. Finally, we calculate the pressure P as 2452.5 N / 0.225 m² = 10889 Pascals (rounded to the nearest whole number). None of the answer choices match the correct pressure calculated, so it is possible there may have been an error in the question provided or in the answer choices.

User Jgosar
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