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20 March, 01:13

This is from educake but

For a certain spring, k = 15N/m. A weight is hung from the spring, stretching it from 0.3m to 0.4m. What force did the weight produce? what is the name of the force?

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  1. 20 March, 03:59
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    k = spring constant of the spring = 15 N/m

    x₀ = initial position of the spring = 0.3 m

    x = final position of the spring = 0.4 m

    Δx = stretch in the spring

    stretch in the spring is given as

    Δx = x - x₀

    Δx = 0.4 - 0.3

    Δx = 0.1 m

    the spring force balances the weight

    hence

    F = force by the weight

    using equilibrium of force in vertical direction

    force by weight = spring force

    F = k Δx

    inserting the values

    F = 15 x 0.1

    F = 1.5 N

    the force by weight is also known as force of gravity.
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