Question

Щоб розтягнути пружину на 2 см, потрібно прикласти силу 40 Н. На скільки сантиметрів розтягнеться пружина, якщо прикласти силу 100Н?

Answer 1

Ответ:

F=k∆x

Объяснение:

∆x=100/40*2=5 см

Answer 2

Calculating Spring Extension

To calculate the extension of the spring when a force is applied, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to its extension. The formula for Hooke's Law is:

F = kx

Where: - F = force applied (in Newtons) - k = spring constant (in Newtons per meter) - x = extension of the spring (in meters)

To find the extension of the spring when a force of 100N is applied, we can rearrange the formula to solve for x:

x = F / k

Given Information

- Force applied, F1 = 40N - Extension, x1 = 2cm = 0.02m

Calculating Spring Constant

To proceed, we need to find the spring constant, k. We can use the given force and extension to calculate k using the formula:

k = F / x

Substitute the given values: k = 40N / 0.02m

Calculating: k = 2000 N/m

Calculating Spring Extension for 100N Force

Now that we have the spring constant, we can calculate the extension of the spring when a force of 100N is applied:

x2 = F2 / k

Substitute the values: x2 = 100N / 2000 N/m

Calculating: x2 = 0.05m

Answer

Therefore, when a force of 100N is applied, the spring will extend by 0.05 meters.