# The stiffness of the harness is 70,000 N / m. How long will the harness stretch if a force of 14 kN acts on it.

August 31, 2021 | education

| Given:

k = 70,000 Newton / meter is the stiffness coefficient of a certain bundle;

F = 14 kN – force acting on the harness.

It is required to determine dx (meter) – how long the tourniquet will stretch.

Let’s convert the units of measure of force into the SI system:

F = 14 kN = 14 * 1000 = 14000 Newtons.

Then, to determine the length, you must use the following formula:

F = dx * k, from here we find that:

dx = F / k = 14000/70,000 = 14/70 = 0.2 meters (20 centimeters).

Answer: the tourniquet will stretch to a length of 20 centimeters.

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