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Assume cathy has to drag her suitcase along the floor of the airport terminal by a rope. The rope makes a 40.0 degree angle with the horizantal. The suitcase has a mass of 36.0 kg and Cathy pulls on the rope with a force of 65.0 N.

a) What is the magnitude of the normal force acting on the suitcase due to the floor?
b) If the kinetic friction between the suitcase and the marble floor is 40.0 N, find the acceleration of the suitcase while Cathy pulls with 65.0 N force at 40 degrees.
c) Starting from rest, for how long a time must she pull with this force until the suitcase reaches a comfortable walking speed of 0.5 m/s^2.

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