Question

Какая работа совершается, если лошадь прилагая силу 500 Н, перемещает сани с дровами на расстояние 0,4 км? Направления перемещения и силы составляют угол 30 градусов

Answer 1

Дано:

F=500 Н

s=0,4 км=400 м

α=30°

A-?

Решение:

A=Fscosα=500×400×√3/2≈173205 Дж

Ответ:A≈173205 Дж.

Answer 2

Calculation of Work Done

To calculate the work done by the horse in moving the sled, we can use the formula:

Work = Force × Distance × cos(θ)

where: - Force = 500 N (the force applied by the horse) - Distance = 0.4 km = 400 m (the distance the sled is moved) - θ = 30 degrees (the angle between the direction of motion and the applied force)

Plugging in these values into the formula, we get:

Work = 500 N × 400 m × cos(30°)

To find the value of cos(30°), we can refer to trigonometric tables or use a calculator. The value of cos(30°) is approximately 0.866.

Substituting this value into the equation, we have:

Work = 500 N × 400 m × 0.866

Calculating this expression, we find that the work done by the horse is approximately 173,200 Joules.

Answer

If the horse applies a force of 500 N to move the sled with firewood a distance of 0.4 km, at an angle of 30 degrees between the direction of motion and the applied force, the work done by the horse is approximately 173,200 Joules.