Question

Металлический брусок подвешен к упругой пружине, коэффициент жёсткости которой равен 25 Н/м. Удлинение пружины равно 4 см. Найдите вес бруска. ПОЖАЛУЙСТА

Answer 1

Дано:
k = 25 Н/м                   P = Fупр = kx
x = 4 см = 0,04 м        P = 25Н/м·0, 04 м =1 Н
P - ?

Answer 2

Calculation of the Weight of the Metal Block

To find the weight of the metal block, 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.

The formula for Hooke's Law is:

F = k * x

Where: - F is the force exerted by the spring, - k is the spring constant (also known as the coefficient of stiffness), - x is the displacement of the spring from its equilibrium position.

In this case, the displacement of the spring is given as 4 cm, which is equal to 0.04 m. The coefficient of stiffness (spring constant) is given as 25 N/m.

Substituting these values into the formula, we can find the force exerted by the spring:

F = 25 N/m * 0.04 m

Simplifying the equation:

F = 1 N

Therefore, the force exerted by the spring is 1 N.

The weight of an object is equal to the force exerted on it due to gravity. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.

Using Newton's second law of motion, we can calculate the weight of the metal block:

Weight = mass * acceleration due to gravity

Since the acceleration due to gravity is constant, we can rewrite the equation as:

Weight = mass * 9.8 N

Now, we need to find the mass of the metal block. To do this, we can use the formula:

Weight = mass * acceleration due to gravity

Rearranging the equation:

mass = Weight / acceleration due to gravity

Substituting the known values:

mass = 1 N / 9.8 m/s^2

Simplifying the equation:

mass ≈ 0.102 kg

Therefore, the weight of the metal block is approximately 0.102 kg.

Please note that the above calculations assume that the metal block is in equilibrium and that there are no other external forces acting on it.