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Physics

A block with mass M = 5.00 kg rests on a frictionless table and is attached by a
horizontal spring (k = 130 N/m) to a wall. A second block, of mass m = 1.25 kg rests on top of M.
The blocks are displaced by 10 cm then released.
If the coefficient of static friction between the two blocks
is 0.3, does block m slip off block M? (Show your work)
YES / NO

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  1. F = - k x
    = -130 (.1) = -13 N

    if they do not slip m = 6.25 kg

    a = 13/6.25 = 2.08 m/s^2

    force required to accelerate small block = 1.25 *2.08 = 2.6 N

    do we have that much?
    weight = m g = 1.25 * 9.81
    so max friction = .3*1.25*9.81 = 3.68 N
    so
    no slip :)

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  2. Thank you so much!

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  3. You are welcome :)

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  4. Just to clarify, when you conclude that the block m doesn't slip, which forces are you comparing? If the friction was smaller than the force required to accelerate the small block, would it then slip?

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  5. Yes, if the friction was less than the force required to accelerate the upper block, it would accelerate more slowly than the bottom one. In other words slip :)

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