You want to use a rope to pull a 16 kg box of books up a plane inclined 43 degrees above the horizontal. The coefficient of kinetic friction is 0.46. You exert a force F on the other end of the rope so that the box gets pulled with a constant acceleration of 0.4 m/s² up the plane. Assume that the rope pulls parallel to the incline. (use, g 9.8 m/s²) a) Draw a force diagram for the box. Write the meaning (definition) of symbols used. b) Calculate the normal force exerted by the inclined plane on the box. c) Calculate the friction force acting on the box. d) Calculate the force F (force exerted by you on the box). e) Draw the motion diagram for the box.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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You want to use a rope to pull a 16 kg box of books up a plane inclined 43 degrees
above the horizontal. The coefficient of kinetic friction is 0.46. You exert a force F
on the other end of the rope so that the box gets pulled with a constant acceleration
of 0.4 m/s² up the plane. Assume that the rope pulls parallel to the incline. (use, g
9.8 m/s²)
a) Draw a force diagram for the box. Write the meaning (definition) of symbols
used.
b) Calculate the normal force exerted by the inclined plane on the box.
c) Calculate the friction force acting on the box.
d) Calculate the force F (force exerted by you on the box).
e) Draw the motion diagram for the box.
Transcribed Image Text:You want to use a rope to pull a 16 kg box of books up a plane inclined 43 degrees above the horizontal. The coefficient of kinetic friction is 0.46. You exert a force F on the other end of the rope so that the box gets pulled with a constant acceleration of 0.4 m/s² up the plane. Assume that the rope pulls parallel to the incline. (use, g 9.8 m/s²) a) Draw a force diagram for the box. Write the meaning (definition) of symbols used. b) Calculate the normal force exerted by the inclined plane on the box. c) Calculate the friction force acting on the box. d) Calculate the force F (force exerted by you on the box). e) Draw the motion diagram for the box.
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