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A block requires 26 N of force to get it moving and 15 N of force to keep it moving at constant velocity. If the static frictional coefficient is 0.77, what is the normal force and the kinetic frictio

Physics

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Answer

33.77 N\text{33.77 N}

0.44\text{0.44}

Step-by-step solution

3 steps

Here's the solution to question 3:

  1. Identify the given values.

    The force required to get the block moving (static friction) is Fs=26 NF_s = 26 \text{ N}.
    The force required to keep the block moving at a constant velocity (kinetic friction) is Fk=15 NF_k = 15 \text{ N}.
    The static frictional coefficient is μs=0.77\mu_s = 0.77.

  2. Calculate the normal force (FNF_N).

    The formula for static friction is Fs=μsFNF_s = \mu_s F_N.
    Rearrange to solve for FNF_N:

    FN=FsμsF_N = \frac{F_s}{\mu_s}

    Substitute the values:

    FN=26 N0.77F_N = \frac{26 \text{ N}}{0.77} FN≈33.77 NF_N \approx 33.77 \text{ N}
  3. Calculate the kinetic frictional coefficient (μk\mu_k).

    The formula for kinetic friction is Fk=μkFNF_k = \mu_k F_N.
    Rearrange to solve for μk\mu_k:

    μk=FkFN\mu_k = \frac{F_k}{F_N}

    Substitute the values:

    μk=15 N33.77 N\mu_k = \frac{15 \text{ N}}{33.77 \text{ N}} μk≈0.44\mu_k \approx 0.44

    The answers are:

    3.1 Normal force exerted onto the block: 33.77 N\boxed{\text{33.77 N}}

    3.2 Kinetic frictional coefficient: 0.44\boxed{\text{0.44}}

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