Question

Камень массой 1,5 КГ бросают вертикально вверх с начальной скоростью 30 м/с. Используя закон сохранения энергии, определите максимальную высоту подъема.​

Answer 1

по закону импульс тела равен массу умножить на скорость, то есть ответ 45.

Answer 2

Calculation of the Maximum Height

To determine the maximum height reached by the stone, we can use the law of conservation of energy. According to this law, the total mechanical energy of the system remains constant throughout the motion.

The total mechanical energy of the system consists of the kinetic energy (KE) and the potential energy (PE). At the maximum height, all of the initial kinetic energy is converted into potential energy.

The formula for kinetic energy is:

KE = (1/2) * m * v^2

where: - KE is the kinetic energy, - m is the mass of the stone (1.5 kg), - v is the initial velocity of the stone (30 m/s).

The formula for potential energy is:

PE = m * g * h

where: - PE is the potential energy, - m is the mass of the stone (1.5 kg), - g is the acceleration due to gravity (approximately 9.8 m/s^2), - h is the maximum height.

Since the total mechanical energy is conserved, we can equate the initial kinetic energy to the potential energy at the maximum height:

(1/2) * m * v^2 = m * g * h

Simplifying the equation, we can solve for h:

h = (v^2) / (2 * g)

Now, let's substitute the given values into the equation to calculate the maximum height:

h = (30^2) / (2 * 9.8)

Calculating this expression, we find:

h ≈ 45.92 meters

Therefore, the maximum height reached by the stone is approximately 45.92 meters.