Question

Тело массой 2 кг бросают вертикально вверх со скоростью 40 м/с. Чему равна потенциальная энергия тела в верхней точке подъёма ? Ответ обосновать Варианты ответа : А. 3200 Дж Б. 1600 Дж В. 800 Дж Г. 40 Дж

Answer 1

E=mgh hmax=V0^2/2g hmax=1600/20=80м E2*10*80=1600
ответ б

Answer 2

Calculation of Potential Energy

To calculate the potential energy of an object at the highest point of its vertical motion, we need to use the formula:

Potential Energy = mass * gravitational acceleration * height

Given: - Mass of the object (m) = 2 kg - Initial velocity (u) = 40 m/s (upwards) - Gravitational acceleration (g) = 9.8 m/s^2 (approximate value on Earth)

To find the height at the highest point, we can use the equation of motion:

v^2 = u^2 - 2gh

Where: - v = final velocity (0 m/s at the highest point) - h = height

Rearranging the equation, we get:

h = (u^2) / (2g)

Substituting the given values:

h = (40^2) / (2 * 9.8) = 800 / 19.6 = 40.82 meters (approximate)

Now, we can calculate the potential energy:

Potential Energy = mass * gravitational acceleration * height

Potential Energy = 2 kg * 9.8 m/s^2 * 40.82 m

Potential Energy ≈ 800 Joules

Therefore, the potential energy of the object at the highest point of its vertical motion is approximately 800 Joules.