Sap asked in Science & MathematicsPhysics · 3 months ago

Kinetics Physics question help?

A child goes down a playground slide with an acceleration of 1.34 m/s^2

Find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 35.0 ∘ below the horizontal.  

2 Answers

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  • 3 months ago
    Favorite Answer

    Resolving down the plane and perpendicular we have:

    (↙) mgsin35° - Fric = 1.34m....(using F = ma)

    (↖) R = mgcos35°

    Also, Friction = µ.R

    i.e. Friction = µmgcos35°

    so, mgsin35° - µmgcos35° = 1.34m

    Hence, gsin35° - µgcos35° = 1.34

    Then, µgcos35° = gsin35° - 1.34

    so, µ = (gsin35° - 1.34)/gcos35°

    Therefore, µ = 0.53

    :)>

  • NCS
    Lv 7
    3 months ago

    acceleration down incline with friction

    a = g*(sinΘ - µ*cosΘ)

    1.34 m/s² = 9.81m/s² * (sin35.0º - µ*cos35.0º)

    solves to µ = 0.533

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