Question

the rope can support a maximum tension of 4900 n . is this rope strong enough to do the job? choose the correct answer and explanation.

Answer 1

To determine if the rope is strong enough to do the job, compare the maximum tension it can support with the actual tension required for the job.

Step-by-step explanation:

The rope can support a maximum tension of 4900 N. To determine if it is strong enough for the job, we need to compare this maximum tension with the actual tension required for the job. If the actual tension required is less than or equal to 4900 N, then the rope is strong enough. If the actual tension required is greater than 4900 N, then the rope is not strong enough.

For example, if the actual tension required is 4000 N, then the rope is strong enough because 4000 N is less than 4900 N. However, if the actual tension required is 5000 N, then the rope is not strong enough because 5000 N is greater than 4900 N.

Answer 2

The question inquires about the tensile strength of a rope and whether it can sustain a specific load. Through direct measurement using a spring indicating 49.0 N, the rope well exceeds this force with a maximum capacity of 4900 N. Calculations for different scenarios would be needed for a comprehensive answer.

Step-by-step explanation:

The question seems to be about whether a rope can sustain a particular force without breaking, which pertains to the physics concept of tensile stress and strength of materials. The rope's maximum tension capacity is given as 4900 N. To determine if the rope can sustain the job, we need to compare this maximum tension to the actual tension it would experience during the job. The provided scenarios involve replacing the rope with a spring to measure tension, and calculating the maximum load that can be lifted, considering both a static situation and one with acceleration.

In the example where the spring is inserted and stretches due to a force of 49.0 N, this directly measures the tension force in the rope. If the maximum tension the rope can withstand is 4900 N, and the force observed is only 49.0 N, then the rope is well within its strength limits. However, this does not answer the part of the question regarding the maximum load or the behavior of the rope in different conditions, such as when lifting a load with acceleration or supporting a mountain climber. These scenarios would require additional calculations involving the mass of the load or climber, the gravitational acceleration, and possibly the material properties of the rope, such as its force constant and Young's modulus.