Question

На балкон, расположенный на высоте 6 м, бросили с поверхности земли предмет массой 200 г. Во время полета предмет достиг максимальной высоты 8 м от поверхности земли. Определите работу силы тяжести при полете предмета вверх, вниз и на всем пути. Найдите результирующее изменение потенциальной энергии.

Answer 1

Дано:

h1 = 6 м,

m = 200 г = 0,2 кг, h2 = 8 м.

Найти:

ΔЕ1,ΔЕ2 ,ΔЕ3

ΔЕ1=mgh2=0.2*10*8=16Дж

ΔЕ2=mg(h1-h2)=0.2*10(6-8)=-4Дж

ΔЕ3=mgh1=0.2*10*6=12Дж

ответ

ΔЕ1=16Дж,ΔЕ2-=-4Дж ,ΔЕ3=12Дж

Answer 2

Calculation of Work Done by Gravity

To calculate the work done by gravity during the flight of the object, we need to consider the change in potential energy. The work done by gravity is equal to the change in potential energy.

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

Potential Energy = mass * gravity * height

Where: - mass = 200 g = 0.2 kg (converted from grams to kilograms) - gravity = 9.8 m/s^2 (approximate value on Earth) - height = change in height during the flight

In this case, the object is thrown from a height of 6 m and reaches a maximum height of 8 m. Therefore, the change in height is:

Change in Height = 8 m - 6 m = 2 m

Now, we can calculate the work done by gravity in different scenarios:

1. Work done by gravity during the upward flight: - The object is moving against the force of gravity, so the work done by gravity is negative. - The change in potential energy is negative because the object is moving upward. - Therefore, the work done by gravity during the upward flight is:

Work Upward = - (mass * gravity * change in height) = - (0.2 kg * 9.8 m/s^2 * 2 m)

2. Work done by gravity during the downward flight: - The object is moving in the direction of the force of gravity, so the work done by gravity is positive. - The change in potential energy is positive because the object is moving downward. - Therefore, the work done by gravity during the downward flight is:

Work Downward = (mass * gravity * change in height) = (0.2 kg * 9.8 m/s^2 * 2 m)

3. Total work done by gravity during the entire flight: - The total work done by gravity is the sum of the work done during the upward and downward flights. - Therefore, the total work done by gravity is:

Total Work = Work Upward + Work Downward

Let's calculate the values:

Work Upward = - (0.2 kg * 9.8 m/s^2 * 2 m) = -3.92 J Work Downward = (0.2 kg * 9.8 m/s^2 * 2 m) = 3.92 J Total Work = -3.92 J + 3.92 J = 0 J

The work done by gravity during the upward flight is -3.92 J, the work done during the downward flight is 3.92 J, and the total work done by gravity during the entire flight is 0 J.

Please note that the work done by gravity is calculated based on the given information and assumptions about the object's motion and the value of gravity.