Kayla, a fitness trainer, develops an exercise that involves pulling a heavy crate across a rough surface. The exercise involves using a rope to pull a crate of mass M=45.0 kg along a carpeted track. Using her physics expertise, Kayla determines that the coefficients of kinetic and static friction between the crate and the carpet are mu(k)=0.410 and mu(s)=0.770, respectively.   Kayla uses one of her employees, Ramon, to test the exercise. If the rope makes an angle of ?=25.0∘ with the floor, what is the minimum force F(min) that Ramon must apply to set the crate in motion? Use g=9.80 m/s2.   Next, Kayla has Ramon pull on the rope as hard as he can. If he pulls with a force of F=315 N along the direction of the rope, and the rope makes the same angle of ?=25.0∘ with the floor, what is the acceleration, a, of the box?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Kayla, a fitness trainer, develops an exercise that involves pulling a heavy crate across a rough surface. The exercise involves using a rope to pull a crate of mass M=45.0 kg along a carpeted track. Using her physics expertise, Kayla determines that the coefficients of kinetic and static friction between the crate and the carpet are mu(k)=0.410 and mu(s)=0.770, respectively.
 
Kayla uses one of her employees, Ramon, to test the exercise. If the rope makes an angle of ?=25.0∘ with the floor, what is the minimum force F(min) that Ramon must apply to set the crate in motion? Use g=9.80 m/s2.
 
Next, Kayla has Ramon pull on the rope as hard as he can. If he pulls with a force of F=315 N along the direction of the rope, and the rope makes the same angle of ?=25.0∘ with the floor, what is the acceleration, a, of the box?
M
F
Transcribed Image Text:M F
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