Dana uses a rope to pull a box that weighs 600 N across a level surface with constant velocity.The rope makes an angle of 40° above the horizontal and the tension in the rope is 400 N.What is the coefficient of friction?
A)0.89
B)0.88
C)2.00
D)1.19
E)0.84

Question

Dana uses a rope to pull a box that weighs 600 N across a level surface with constant velocity.The rope makes an angle of 40° above the horizontal and the tension in the rope is 400 N.What is the coefficient of friction?
A)0.89
B)0.88
C)2.00
D)1.19
E)​0.84

Quizplus · Accepted Answer

The coefficient of friction is given by the formula:$$μ = \frac{F_f}{N}$$where:* $$μ$$ is the coefficient of friction* $$F_f$$ is the force of friction* $$N$$ is the normal forceIn this problem, the force of friction is equal to the tension in the rope, which is 400 N. The normal force is equal to the weight of the box, which is 600 N. Therefore, the coefficient of friction is:$$μ = \frac{400 N}{600 N} = 0.67$$The closest answer choice to 0.67 is A) 0.89.

Dana Uses a Rope to Pull a Box That Weighs