Question

Тело массой в 10кг в горизонтальной плоскости перенесли на расстояние 5м, а затем подняли на высоту 5м. Чему равна работа силы тяжести на каждом этапе движения?

Answer 1

В горизонтальной плоскости работа=0,а в вертикальной A=mgh=500 Дж

Answer 2

Calculation of Work Done by the Force of Gravity

To calculate the work done by the force of gravity at each stage of the movement, we need to consider the mass of the object, the distance it is moved horizontally, and the height it is lifted vertically.

Given: - Mass of the object (m) = 10 kg - Horizontal distance moved (d1) = 5 m - Vertical height lifted (h) = 5 m

Work Done in Moving the Object Horizontally

The work done in moving the object horizontally is equal to the product of the force applied and the distance moved. In this case, the force applied is the force of gravity acting on the object.

The formula to calculate the work done is:

Work (W) = Force (F) × Distance (d)

In this case, the force of gravity can be calculated using the formula:

Force of gravity (F) = mass (m) × acceleration due to gravity (g)

The acceleration due to gravity is approximately 9.8 m/s^2.

Substituting the values into the formula, we can calculate the work done in moving the object horizontally:

Work (W1) = Force of gravity (F) × Distance moved horizontally (d1)

Work (W1) = (mass (m) × acceleration due to gravity (g)) × Distance moved horizontally (d1)

Work (W1) = (10 kg × 9.8 m/s^2) × 5 m

Calculating the above expression, we find:

Work (W1) = 490 J

Therefore, the work done by the force of gravity in moving the object horizontally is 490 Joules.

Work Done in Lifting the Object Vertically

The work done in lifting the object vertically is equal to the product of the force applied and the distance lifted. Again, the force applied is the force of gravity acting on the object.

The formula to calculate the work done is:

Work (W) = Force (F) × Distance (d)

In this case, the force of gravity can be calculated using the formula mentioned earlier:

Force of gravity (F) = mass (m) × acceleration due to gravity (g)

Substituting the values into the formula, we can calculate the work done in lifting the object vertically:

Work (W2) = Force of gravity (F) × Vertical height lifted (h)

Work (W2) = (mass (m) × acceleration due to gravity (g)) × Vertical height lifted (h)

Work (W2) = (10 kg × 9.8 m/s^2) × 5 m

Calculating the above expression, we find:

Work (W2) = 490 J

Therefore, the work done by the force of gravity in lifting the object vertically is 490 Joules.

Summary

To summarize, the work done by the force of gravity at each stage of the movement is as follows:

- Work done in moving the object horizontally (W1): 490 Joules - Work done in lifting the object vertically (W2): 490 Joules

Please note that the above calculations assume that there are no other forces acting on the object during the movement.