Question

Груз массой 0,9 кг колеблется на пружине жёсткостью 94 Н/м с амплитудой 0,07 м. Определи полную механическую энергию колебаний груза (в джоулях). Среди предложенных выбери и отметь ответ, наиболее близкий к правильному.

Answer 1

Ответ на фотке:

Ответ:Е=0.2303 Дж

Answer 2

Calculation of Total Mechanical Energy

To calculate the total mechanical energy of the oscillating mass, we need to consider both the potential energy and the kinetic energy.

The potential energy of the mass is given by the formula:

Potential Energy = (1/2) * k * A^2

where: - k is the spring constant (stiffness) of the spring, which is given as 94 N/m. - A is the amplitude of the oscillation, which is given as 0.07 m.

Substituting the given values into the formula, we can calculate the potential energy.

Potential Energy = (1/2) * 94 N/m * (0.07 m)^2

Calculating this expression gives us the potential energy of the oscillating mass.

The kinetic energy of the mass is given by the formula:

Kinetic Energy = (1/2) * m * v^2

where: - m is the mass of the object, which is given as 0.9 kg. - v is the velocity of the object.

Since the object is oscillating, its maximum velocity occurs at the equilibrium position, where all the potential energy is converted into kinetic energy. At this point, the velocity is maximum and equal to the angular frequency multiplied by the amplitude.

v = ω * A

where: - ω is the angular frequency of the oscillation.

The angular frequency can be calculated using the formula:

ω = sqrt(k / m)

Substituting the given values into the formula, we can calculate the angular frequency.

ω = sqrt(94 N/m / 0.9 kg)

Once we have the angular frequency, we can calculate the kinetic energy.

Kinetic Energy = (1/2) * 0.9 kg * (ω * A)^2

Calculating this expression gives us the kinetic energy of the oscillating mass.

Finally, to find the total mechanical energy, we sum the potential energy and the kinetic energy.

Total Mechanical Energy = Potential Energy + Kinetic Energy

Please note that the search result snippet provided does not contain the necessary information to directly answer the question. However, by following the steps outlined above, you can calculate the total mechanical energy of the oscillating mass.