A block of mass m is given a push such that it slides across a horizontal table in a straight line path with an initial speed of vo. The block slides a distance d before coming to rest on the table. The coefficient of kinetic friction between the block and the table is k. We need to determine how far will the block slide before it comes to rest. (A) Draw a diagram which shows the block sliding distance d along the surface of the table. Include the direction of the velocity of the block and the direction of any forces acting on the block at stages in this experiment. (B) Starting with relevant equations for work and kinetic energy, develop a relationship for the distance traveled along the surface d in terms of the initial speed vo. gravity g, and the coefficient of kinetic friction μk. Show that d is independent of the mass of the object. (C) If the mass of the block is 1.5kg, the coefficient of kinetic friction is 0.30, and the block is given an initial speed of 1.25 m/s, find the distance traveled along the horizontal table.

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Chapter1: Units, Trigonometry. And Vectors
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A block of mass m is given a push such that it slides across a horizontal table in a straight line path
with an initial speed of vo. The block slides a distance d before coming to rest on the table. The
coefficient of kinetic friction between the block and the table is k. We need to determine how far
will the block slide before it comes to rest.
(A) Draw a diagram which shows the block sliding distance d along the surface of the table. Include
the direction of the velocity of the block and the direction of any forces acting on the block at stages
in this experiment.
(B) Starting with relevant equations for work and kinetic energy, develop a relationship for the
distance traveled along the surface d in terms of the initial speed vo. gravity g, and the coefficient of
kinetic friction μk. Show that d is independent of the mass of the object.
(C) If the mass of the block is 1.5kg, the coefficient of kinetic friction is 0.30, and the block is given
an initial speed of 1.25 m/s, find the distance traveled along the horizontal table.
Transcribed Image Text:A block of mass m is given a push such that it slides across a horizontal table in a straight line path with an initial speed of vo. The block slides a distance d before coming to rest on the table. The coefficient of kinetic friction between the block and the table is k. We need to determine how far will the block slide before it comes to rest. (A) Draw a diagram which shows the block sliding distance d along the surface of the table. Include the direction of the velocity of the block and the direction of any forces acting on the block at stages in this experiment. (B) Starting with relevant equations for work and kinetic energy, develop a relationship for the distance traveled along the surface d in terms of the initial speed vo. gravity g, and the coefficient of kinetic friction μk. Show that d is independent of the mass of the object. (C) If the mass of the block is 1.5kg, the coefficient of kinetic friction is 0.30, and the block is given an initial speed of 1.25 m/s, find the distance traveled along the horizontal table.
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