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  • Calculating Pressure: Book on a Surface - Two Scenarios
    Here's how to calculate the pressure in both scenarios:

    Scenario 1: Book lying flat

    * Pressure: Pressure is defined as force per unit area.

    * Force: The force exerted by the book is its weight, which is calculated by multiplying its mass (20 kg) by the acceleration due to gravity (9.8 m/s²).

    * Force = 20 kg * 9.8 m/s² = 196 N (Newtons)

    * Area: The area of the book's cover is given as 0.05 m².

    * Calculation: Pressure = Force / Area

    * Pressure = 196 N / 0.05 m² = 3920 Pa (Pascals)

    Scenario 2: Book standing on its end

    * Force: The force remains the same (196 N).

    * Area: The area of the book's end is 0.01 m².

    * Calculation: Pressure = Force / Area

    * Pressure = 196 N / 0.01 m² = 19600 Pa (Pascals)

    Therefore:

    * The pressure on the table when the book lies flat is 3920 Pa.

    * The pressure on the table when the book stands on its end is 19600 Pa.

    Key takeaway: Pressure is inversely proportional to the area over which the force is applied. A smaller area results in higher pressure for the same force.

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