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wlad13 [49]
4 years ago
6

Two identical boxes are being pulled across a horizontal floor at a constant velocity by a horizontal pulling force of 176 N tha

t is applied to one of the boxes, as the drawing shows. There is kinetic friction between each box and the floor. Find the tension in the rope between the boxes.
Physics
2 answers:
Contact [7]4 years ago
6 0

Answer:

88 N

Explanation:

Since the two boxes are identical, they have the same normal force and kinetic friction constant.

Also, since you know they are moving at a constant velocity, the force of 176 N being applied to one of the boxes must equal the sum of the force of friction from both boxes, that is:

176 = 2 * (F_n * u_k) where F_n is normal force and u_k is coefficient of kinetic friction.

Since the rope between the boxes only has to exactly cancel out 1 box worth of kinetic friction, you get:

F_t = (F_n * u_k) where F_t equals the tension in the rope.

Substitution F_t in the first equation leads to:

176 = 2 * (F_t)

F_t = 88

So the tension in the rope is exactly half of the 176 N force being applied, so it is 88 N.

MAXImum [283]4 years ago
3 0

Answer:

the tension in the rope between the boxes is equal to 88 N

Explanation:

given,

the force applied on one body F = 176 N

When two bodies are moving on horizontal plane at constant velocity then their kinetic friction (f k) is equal to applied force F

According to newton third law the resultant force acting on one body is equal to the resultant force acting on the another body.

T is the tension in the rope

T- f_k = - (T- f_k)

T - F = - (T - F)

T - 176 = - (T - 0)

2 T = 176

T = 176/2 = 88 N

so, the tension in the rope between the boxes is equal to 88 N

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