How Do You Calculate Rope Tension with Friction and Constant Velocity?

In summary, the block is moving at 2.3 m/s to the left on a flat, horizontal surface. The coefficient of friction between the block and the floor is .40. The weight of the block is 9.8 N. To find the tension in the rope, the friction force must be calculated using the formula Fk=μkFn. The net force on the block can be determined by drawing a free body diagram and considering all forces acting on the block.
  • #1
PerSempre
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Homework Statement


The block moves at 2.3 m/s to the left (on a flat, horizontal surface). If μk, the coefficient of friction between the block and the floor, is .40, what is the tension in the rope? Also, the weight of the block is 9.8 N

Homework Equations



No equations were given... but I used Fk=μkFn

The Attempt at a Solution


2.3=.40Fn
Fn=5.75?
I googled how to find tension.. Some told me I needed three components: Ff, Fn, and Fg and some gave an acceleration for gravity. I don't understand how to go about this problem :/
 
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  • #2
PerSempre said:

Homework Statement


The block moves at 2.3 m/s to the left (on a flat, horizontal surface). If μk, the coefficient of friction between the block and the floor, is .40, what is the tension in the rope? Also, the weight of the block is 9.8 N
What rope? Is there a rope pulling this block? Is the speed constant? What does that tell you?

No equations were given... but I used Fk=μkFn
You'll need that to figure out the friction force.

The Attempt at a Solution


2.3=.40Fn
Fn=5.75?
You set a speed (2.3 m/s) equal to a force. That makes no sense! Also, Fn is given! No need to calculate it.

Start by drawing a free body diagram of the block. What forces act? What's the net force on the block?
 

FAQ: How Do You Calculate Rope Tension with Friction and Constant Velocity?

What is tension in a rope?

Tension is the force that is exerted by a rope when it is stretched or pulled taut. It acts in the direction opposite to the force being applied and is the same throughout the entire length of the rope.

How do you calculate tension in a rope?

Tension can be calculated using the formula T = F/A, where T is tension, F is the applied force, and A is the cross-sectional area of the rope.

What factors affect tension in a rope?

The tension in a rope can be affected by factors such as the amount of force being applied, the thickness and material of the rope, and the angle at which the force is being applied.

How do you measure tension in a rope?

Tension can be measured using a tension meter or a dynamometer, which can provide an accurate reading of the force being exerted on the rope. Alternatively, tension can also be measured indirectly by calculating it using the formula mentioned in the previous answer.

Why is it important to find tension in a rope?

Knowing the tension in a rope is important for various applications, such as in engineering and construction, as it helps determine the load-bearing capacity of the rope and ensures its safety and durability. It is also useful in activities like rock climbing, where knowing the tension in the rope is crucial for the climber's safety.

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