You want to elope by sliding down a nylon rope made by tying stockings together.The rope will withstand a maximum tension of 300 N without breaking.Your mass is 61.2 kg.The magnitude of the smallest acceleration a with which you can slide down the rope is A)9.81 m/s² B)4.91 m/s² C)zero D)2.40 m/s² E)19.6 m/s²

Question

Quizplus · Accepted Answer

The maximum tension the rope can withstand is 300 N, which means the force exerted on the rope by the weight of the person sliding down should not exceed 300 N.

We can find the force exerted on the rope by the following formula:

force = mass x acceleration (F = ma)

In this case, the force is the tension on the rope, which is 300 N. The mass is 61.2 kg. Solving for acceleration, we get:

300 N = 61.2 kg x a

a = 300 N / 61.2 kg

a ≈ 4.91 m/s²

Therefore, the smallest acceleration with which the person can slide down the rope without breaking it is approximately 4.91 m/s², which is choice B.

You Want to Elope by Sliding Down a Nylon Rope