Question

Пружина жорсткістю 40 h/m стинулась на 4 см.На скільки більшу силу треба прикласти до ціеї пружини щоб розтягнути її на 10 см

Answer 1

Відповідь:

2,4 Н

Пояснення:

Дано:

F-?                            F1=K*X1           F1=40*0,04=1,6H

k=40n/m                  F2=k*x2          F2=40*0,1=4H

x1=4cm=0,04m        F=F2-F1          F=4-1,6=2,4H

x2=10cm=0,1m

(числа біля літер це індекси(вони маленькі))

Answer 2

Calculating the Force Required to Stretch a Spring

To calculate the force required to stretch a spring, we can use Hooke's Law, which states that the force required to stretch or compress a spring is directly proportional to the displacement of the spring from its equilibrium position.

Hooke's Law can be expressed as:

F = kx

Where: - F is the force applied to the spring, - k is the spring constant (stiffness) in N/m, and - x is the displacement from the equilibrium position in meters.

Applying Hooke's Law to the Given Scenario

In this case, the spring constant (k) is given as 40 N/m, and the spring is initially compressed by 4 cm (0.04 m) and needs to be stretched to 10 cm (0.10 m).

Using Hooke's Law, we can calculate the force required to stretch the spring from 4 cm to 10 cm.

First, let's calculate the force required to compress the spring by 4 cm: F1 = kx1 F1 = 40 N/m * 0.04 m F1 = 1.6 N

Now, let's calculate the force required to stretch the spring to 10 cm: F2 = kx2 F2 = 40 N/m * 0.10 m F2 = 4 N

Determining the Additional Force Required

To find the additional force required to stretch the spring from 4 cm to 10 cm, we can subtract the force required to compress the spring by 4 cm from the force required to stretch it to 10 cm:

Additional force = F2 - F1 Additional force = 4 N - 1.6 N Additional force = 2.4 N

Therefore, the additional force required to stretch the spring from 4 cm to 10 cm is 2.4 N.