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Sheff asked in Science & MathematicsPhysics · 4 months ago

Friction and Acceleration ?

1. A block weighing 300. N is moved at constant speed over a horizontal surface by a force of 50. N applied parallel to the surface.

A) What is the coefficient of kinetic friction? (0.17)

B) What would be the acceleration of the block if k = 0? (1.6 m/s2)

I would appreciate it if the work was shown, so I can understand how you got the answer. Thank you.

1 Answer

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  • 4 months ago

    constant speed → no acceleration → zero net force (pulling force is in equilibrium with friction)

    Friction force

    Ffr = μk Fn

    μk is coefficient of kinetic friction

    Fn is normal force, Fn=300 N

    Friction force is in equilibrium with F=50 N

    Ffr = F

    so

    μk Fn = F

    μk = F / Fn

    μk = 50 / 300 = 0.17

    If μk=0, there is no friction, Ffr=0

    Net force equals F and it give block an acceleration

    a = F/m = F g / Fn

    (because Fn = m g)

    a = 50 * 9.80 / 300 = 1.63 m/s^2

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