Question

Какова жесткость пружины если груз массой 250г подвешаный на пружине растягивает её на 2,45см

Answer 1

F=m*g
F=k*x
k=m*g/k
k=0.25*9.8/0.0245=100

Answer 2

Calculating the Spring Constant

To calculate the spring constant, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed. The formula for Hooke's Law is:

F = kx

Where: - F is the force exerted by the spring, - k is the spring constant, and - x is the displacement from the spring's equilibrium position.

We can rearrange this formula to solve for the spring constant k:

k = F / x

Given that the mass of the load is 250g and it stretches the spring by 2.45cm (or 0.0245m), we can calculate the force exerted by the load and then use it to find the spring constant.

Calculating the Force Exerted by the Load

The force exerted by the load can be calculated using the formula:

F = mg

Where: - m is the mass of the load, and - g is the acceleration due to gravity (approximately 9.81 m/s^2).

Substituting the given values, we get:

F = (0.25kg) * (9.81 m/s^2)

Calculating the Spring Constant

Now that we have the force exerted by the load, we can use it to find the spring constant using the formula:

k = F / x

Substituting the calculated force and the displacement, we get:

k = (F) / (x)

k = (F) / (0.0245m)

Let's calculate the spring constant.