Question

Тело массой 75 кг, движется со скоростью 30 м/с на высоте 100 м. Определите полную механическую энергию тела.​

Answer 1

Ответ: 108750 Дж

Объяснение:

Дано:

m=75кг

V=30м/с

h=100м

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Е-?

Е=Ек+Еп=mV²/2+mgh=75*30²/2+75*10*100=108750 Дж

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) * m * v^2

where: - m is the mass of the object (75 kg in this case) - v is the velocity of the object (30 m/s in this case)

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

PE = m * g * h

where: - m is the mass of the object (75 kg in this case) - g is the acceleration due to gravity (approximately 9.8 m/s^2) - h is the height of the object (100 m in this case)

The total mechanical energy (E) of the object is the sum of its kinetic energy and potential energy:

E = KE + PE

Let's calculate the total mechanical energy of the object.

Calculation:

Given: - Mass of the object (m) = 75 kg - Velocity of the object (v) = 30 m/s - Height of the object (h) = 100 m

First, let's calculate the kinetic energy (KE):

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

KE = (1/2) * 75 * (30^2)

KE = 33750 J

Next, let's calculate the potential energy (PE):

PE = m * g * h

PE = 75 * 9.8 * 100

PE = 73500 J

Finally, let's calculate the total mechanical energy (E):

E = KE + PE

E = 33750 + 73500

E = 107250 J

Therefore, the total mechanical energy of the object is 107250 Joules.