Question

На идеальной пружине с коэффициентом жесткости k весит медный шар объемом 0,2 л. Пружина растянулась на 3 см. Найти величину k. Помогите пожалуйста ‼️

Answer 1

По 2 закону Ньютона Fупр.=Fтяжести. kl=mg, lизменение длины. m=Vp (p- плотность меди) kl=vpg. Выражаем k=vpg/l= 0.2×8900×10÷0.03÷1000=593.3

Answer 2

Calculating the Spring Constant (k) for the Copper Ball

To calculate the spring constant (k) for the given copper ball, 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.

Hooke's Law can be expressed as:

F = -kx

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

Given that the spring stretched by 3 cm (or 0.03 m) when the copper ball with a volume of 0.2 L is attached, we can use this information to calculate the spring constant (k).

Calculating the Spring Constant (k)

Using Hooke's Law, we can rearrange the formula to solve for the spring constant (k):

k = -F / x

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

To find the force exerted by the spring, we can use the weight of the copper ball and the acceleration due to gravity.

Weight of the Copper Ball

The weight of the copper ball can be calculated using the formula:

W = mg

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

Calculating the Mass of the Copper Ball

To calculate the mass of the copper ball, we can use the density of copper and the volume of the ball.

Density of Copper

The density of copper is approximately 8,960 kg/m^3.

Calculating the Mass

The mass can be calculated using the formula:

m = ρV

Where: - m is the mass, - ρ is the density of copper, and - V is the volume of the copper ball.

Calculating the Spring Constant (k)

Now that we have the mass of the copper ball and the displacement, we can calculate the spring constant (k) using the formulas mentioned above.

Let's proceed with the calculations.