Question

К пружине жесткостью 200 Н/м тело весом 10 Н длина пружина стала равна 25 см найдите длину нерастянутой пружины

Answer 1

F=kΔl
Растяжение пружины равно Δl=F/k=10/200=0,05м=5см.
Значит, длина нерастянутой пружины равна l-Δl=25-5=20 см

Answer 2

Calculation of the Length of the Unstretched Spring

To find the length of the unstretched spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.

The formula for Hooke's Law is:

F = kx

Where: - F is the force applied to the spring, - k is the spring constant (also known as the stiffness constant), - x is the displacement of the spring from its equilibrium position.

In this case, we are given the following information: - The spring constant (k) is 200 N/m. - The weight of the object (F) is 10 N. - The length of the stretched spring (x) is 25 cm.

To find the length of the unstretched spring, we need to rearrange the formula:

x = F / k

Let's substitute the given values into the formula:

x = 10 N / 200 N/m

Simplifying the equation:

x = 0.05 m

Therefore, the length of the unstretched spring is 0.05 meters or 5 centimeters.