Question

Пружина динамометра під дією сили 4Н видовжилась на 5мм. Визначте під дією якої сили ця пружина видовжиться на 16 мм. срочно. будь ласка​

Answer 1

F=kx, где F - сила, k - коэффициент жесткости, x - удлиннение (Закон Гука)

k=F/x=4/0.005=800 Н/м

F1=800*0.016=12.8 Н.

Answer 2

Calculation of Spring Extension

To calculate the force required to extend the spring by a certain length, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to its extension.

Hooke's Law can be expressed as:

F = kx

Where: - F is the force applied to the spring - k is the spring constant - x is the extension or compression of the spring from its equilibrium position

Given Data

- Force (F) = 4 N - Extension (x) = 5 mm = 0.005 m

Calculating the Spring Constant (k)

To find the spring constant, we can rearrange Hooke's Law:

k = F / x

k = 4 N / 0.005 m k = 800 N/m

Calculating the Force for 16 mm Extension

Now, we can use the spring constant to calculate the force required for a 16 mm extension:

F = kx F = 800 N/m * 0.016 m F = 12.8 N

So, the spring will extend by 16 mm under a force of 12.8 N.