Question

Тело массой 100 г движется со скоростью 10м/с на высоте 6 м. Определите полную механическую энергию тела.

Answer 1

E=mgh
E=100г*10м/с*6м
Е=6000Дж

Answer 2

Calculation of Total Mechanical Energy

To calculate the total mechanical energy of an object, we need to consider both its kinetic energy and potential energy.

The kinetic energy (KE) of an object is given by the formula:

KE = (1/2)mv^2

where m is the mass of the object and v is its velocity.

The potential energy (PE) of an object at a certain height h is given by the formula:

PE = mgh

where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height.

To find the total mechanical energy (E) of the object, we simply add the kinetic energy and potential energy:

E = KE + PE

Let's calculate the total mechanical energy of the object with a mass of 100 g, moving with a velocity of 10 m/s, and at a height of 6 m.

Calculation:

Given: - Mass (m) = 100 g = 0.1 kg - Velocity (v) = 10 m/s - Height (h) = 6 m - Acceleration due to gravity (g) = 9.8 m/s^2

1. Calculate the kinetic energy (KE): - KE = (1/2)mv^2 - KE = (1/2) * 0.1 kg * (10 m/s)^2 - KE = 0.5 * 0.1 kg * 100 m^2/s^2 - KE = 5 J

2. Calculate the potential energy (PE): - PE = mgh - PE = 0.1 kg * 9.8 m/s^2 * 6 m - PE = 0.588 kg m^2/s^2 - PE = 0.588 J

3. Calculate the total mechanical energy (E): - E = KE + PE - E = 5 J + 0.588 J - E = 5.588 J

Therefore, the total mechanical energy of the object is 5.588 Joules.