Question

Веревка жесткостью 52 Н/м имеет длину 3.4 м. С какой силой необходимо тянуть за веревку, чтобы ее длина составила 347 см? ответ дать в ньютонах

Answer 1

3.4м=340см
н/м
=52*100:360=14.4н/см
347*14.4=50

Answer 2

Calculation of Force Required to Stretch the Rope

To calculate the force required to stretch the rope, we can use Hooke's Law, which states that the force required to stretch or compress a spring-like object is directly proportional to the displacement or change in length of the object.

Hooke's Law can be expressed as:

F = k * ΔL

Where: - F is the force applied to the object (in Newtons, N) - k is the spring constant or stiffness of the object (in N/m) - ΔL is the change in length of the object (in meters, m)

In this case, the rope has a stiffness or spring constant of 52 N/m and a length of 3.4 m. We need to find the force required to change its length to 347 cm (or 3.47 m).

Let's calculate the force required:

ΔL = 3.47 m - 3.4 m = 0.07 m

F = 52 N/m * 0.07 m = 3.64 N

Therefore, the force required to stretch the rope to a length of 347 cm is approximately 3.64 Newtons.