Rope Tension with Newtons laws

In summary, rope tension is the force applied to a rope that results in it being stretched or pulled tight. This force is measured in Newtons (N) and can be calculated using the equation T = F * sin(θ), derived from Newton's second law. The weight of an object and friction can both affect the amount of tension in a rope, with heavier objects and more friction resulting in higher tension.
  • #1
tigerwoods99
99
0

Homework Statement



How much tension must a rope withstand if it is used to accelerate a 1000 kg car vertically upward at 0.80 m/s2? Ignore Friction.

Homework Equations



fay= ma ?
mg-fn=0

The Attempt at a Solution



F=MA
F=1000kg * .8
F= 800 WRONG!
 
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  • #2
It says you're pulling against gravity as the car moves upwards. Means you have to have at least 9800 N just to hold the thing steady. 800 would be right if it was moving vertically.
 
  • #3
so the question is asking how much tension the rope must endure to accelerate 1000kg at .8m/s/s. So would that mean 9800+800?
 

1. What is rope tension?

Rope tension is the force applied to a rope that results in the rope being stretched or pulled tight. It is measured in units of Newtons (N) in the metric system.

2. How do Newton's laws relate to rope tension?

Newton's laws of motion explain how forces affect the movement of objects. In the case of rope tension, the first law states that an object at rest will remain at rest unless acted upon by an external force. So, a rope will remain at rest until a force is applied to it, causing it to become tense. Additionally, the third law states that for every action, there is an equal and opposite reaction. So, when one end of the rope is pulled, the other end experiences an equal force in the opposite direction, resulting in tension.

3. How can you calculate rope tension using Newton's laws?

Rope tension can be calculated using the equation T = F * sin(θ), where T is the tension, F is the applied force, and θ is the angle between the rope and the direction of the applied force. This equation is derived from Newton's second law, which states that the net force applied to an object is equal to its mass multiplied by its acceleration (F = ma). By rearranging this equation and substituting the angle θ for the acceleration, we can calculate the tension in the rope.

4. Does the weight of an object affect rope tension?

Yes, the weight of an object can affect rope tension. The weight of an object is a force that is exerted downward due to gravity. When this force is applied to a rope, it can increase the tension in the rope. For example, if a heavy object is hung from a rope, the tension in the rope will increase due to the weight of the object pulling down on the rope.

5. How does friction play a role in rope tension?

Friction is the force that resists the motion of two surfaces sliding against each other. In the case of rope tension, friction can affect the amount of tension in the rope. If there is friction between the rope and the objects it is attached to, it can increase the tension in the rope. This is because the rope must overcome the force of friction in order to stretch and become tense. On the other hand, if there is minimal friction, the tension in the rope may be lower as the rope can stretch more easily.

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