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A wooden cuboid has a mass of 8 kg. The length, breadth and height of the cuboid are100cm, 50 cm, 20 cm respectively. Find the pressure exerted on the floors on which the blockis kept

Question

A wooden cuboid has a mass of 8 kg. The length, breadth and height of the cuboid are100cm, 50 cm, 20 cm respectively. Find the pressure exerted on the floors on which the blockis kept

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Solution

To find the pressure exerted by the wooden cuboid on the floor, we need to use the formula for pressure, which is:

Pressure = Force / Area

  1. First, we need to find the force exerted by the cuboid. This is given by the equation:

    Force = mass x gravity

    The mass of the cuboid is given as 8 kg, and the acceleration due to gravity is approximately 9.8 m/s². So,

    Force = 8 kg x 9.8 m/s² = 78.4 N

  2. Next, we need to find the area over which this force is distributed. This is the area of the base of the cuboid, which is given by the equation:

    Area = length x breadth

    The length and breadth of the cuboid are given as 100 cm and 50 cm respectively. But we need to convert these measurements to meters, because the standard unit of area in the SI system is m². So,

    Area = 1 m x 0.5 m = 0.5 m²

  3. Finally, we can find the pressure by dividing the force by the area:

    Pressure = Force / Area = 78.4 N / 0.5 m² = 156.8 Pa

So, the pressure exerted by the wooden cuboid on the floor is 156.8 Pa.

This problem has been solved

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