Question

1) какие силы действуют на груз, висящий на пружине? Чему равна равнодействующая этих сил?? 2) какова математическая зависимость между удлинение пружины и приложенной силой?

Answer 1

На тело действуют сила тяжести(вниз) и сила упругости пружины(вверх). Они равны в состоянии покоя. равнодействующая в этом случае равна 0. смотри праграф 28 7 класс Перышкин

Математическая зависимость удлинением и силой выражается законом Гука. Смотри учебник 7 класс Перышкин, сила упругости.

Answer 2

Forces Acting on a Spring-Loaded Mass and Mathematical Relationships

1) Forces Acting on a Mass Hanging on a Spring: When a mass is hanging on a spring, several forces act on it. These forces include the force of gravity acting downwards and the force exerted by the spring, which is in the opposite direction to the displacement of the mass from its equilibrium position. The force exerted by the spring is known as the "spring force" or "restoring force."

The spring force is given by Hooke's Law, which states that the force exerted by the spring is directly proportional to the displacement of the mass from its equilibrium position. The equation for Hooke's Law is F = -kx, where F is the spring force, k is the spring constant, and x is the displacement from the equilibrium position.

2) Mathematical Relationship between Spring Extension and Applied Force: The mathematical relationship between the extension of the spring and the applied force is described by Hooke's Law. According to Hooke's Law, the force applied to a spring is directly proportional to the extension or compression of the spring. Mathematically, this relationship is expressed as F = kx, where F is the force applied to the spring, k is the spring constant, and x is the extension or compression of the spring from its equilibrium position.

Therefore, the force applied to the spring is directly proportional to the extension or compression of the spring, and the constant of proportionality is the spring constant, denoted by k.

These principles are fundamental in understanding the behavior of masses hanging on springs and the relationship between the applied force and the extension of the spring.

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