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24 February, 10:04

Three blocks are arranged in a stack on a frictionless horizontal surface. The bottom block has a mass of 37.0 kg. A block of mass 18.0 kg sits on top of it and a 16.0 kg block sits on top of the middle block. A downward vertical force of 170 N is applied to the top block. What is the magnitude of the normal force exerted by the bottom block on the middle block?

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  1. 24 February, 10:05
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    N₂ = 503.8 N

    Explanation:

    given,

    mass of bottom block = 37 Kg

    mass of middle block = 18 Kg

    mass of the top block = 16 Kg

    force acting on the top block = 170 N

    force on the block at top

    N₁ be the normal force from block at middle

    now,

    N₁ = 170 + m g

    N₁ = 170 + 16 x 9.8

    now, force on block at middle

    N₂ be the normal force exerted by the bottom block

    N₂ = N₁ + m₂ g

    N₂ = 326.8 + 18 x 9.8

    N₂ = 503.8 N

    hence, normal force by bottom block is equal to N₂ = 503.8 N
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