Question

2.Когда подвешенный к пружине груз массой 500 г заменили грузом массой 900г. длина пружины увеличилась от 15 до 19 см. Какой станет длина пружины, если подвесить к ней оба груза?

Answer 1

Ну я думаю что станет 24 см пружина. т.к. на 1 см 100 грамм

Answer 2

Calculation of the New Length of the Spring

To determine the new length of the spring when both masses are suspended from it, we can use the principle of conservation of energy. The potential energy stored in the spring is equal to the gravitational potential energy of the masses.

The potential energy stored in a spring is given by the formula:

E = (1/2)kx^2

Where: - E is the potential energy stored in the spring - k is the spring constant - x is the displacement of the spring from its equilibrium position

The gravitational potential energy of an object near the surface of the Earth is given by the formula:

E = mgh

Where: - E is the gravitational potential energy - m is the mass of the object - g is the acceleration due to gravity - h is the height of the object above a reference point

Since the potential energy stored in the spring is equal to the gravitational potential energy of the masses, we can equate the two formulas:

(1/2)kx^2 = m1gh1 + m2gh2

Where: - m1 is the mass of the first object - h1 is the height of the first object above the reference point - m2 is the mass of the second object - h2 is the height of the second object above the reference point

In this case, the first object has a mass of 500 g and the second object has a mass of 900 g. The length of the spring increased from 15 cm to 19 cm.

To find the new length of the spring, we need to solve for x in the equation above. However, we don't have enough information about the spring constant or the heights of the objects. Therefore, we cannot determine the exact new length of the spring without additional information.

If you have any additional information or if there's anything else I can assist you with, please let me know!