Question

При определении КПД наклонной плоскости были получены следующие данные: F1 = 4H, F2 = 2H, h = 40 см, L = 1м. Вычислите полезную работу, полную работу и каково КПД наклонной плоскости? Заранее спасибо)

Answer 1

Полезная
А1=F1h=4×0,4=1,6Дж
Полная
А2=F2L=2×1=2Дж
КПД
КПД=А1/А2=1,6/2=0,8=80%

Answer 2

Calculation of Useful Work, Total Work, and Efficiency of an Inclined Plane

To calculate the useful work, total work, and efficiency of an inclined plane, we need the following data:

- F1 = 4H - F2 = 2H - h = 40 cm - L = 1 m

Let's break down the calculation step by step:

1. Calculate the useful work (Wu): - The useful work is the work done against gravity, which is equal to the weight of the object multiplied by the vertical distance it is lifted. - The weight of the object is given by the formula: F1 = m * g, where m is the mass of the object and g is the acceleration due to gravity. - Since the force F1 is given as 4H, we can equate it to m * g and solve for m: m = F1 / g. - The vertical distance lifted is given by h = 40 cm = 0.4 m. - Therefore, the useful work (Wu) is given by: Wu = F1 * h.

2. Calculate the total work (Wt): - The total work is the work done by the applied force F2 over the distance L along the inclined plane. - The total work (Wt) is given by: Wt = F2 * L.

3. Calculate the efficiency (η): - Efficiency is defined as the ratio of useful work to total work, expressed as a percentage. - The efficiency (η) is given by: η = (Wu / Wt) * 100.

Let's calculate the values using the given data:

1. Calculate the useful work (Wu): - We need the value of the acceleration due to gravity (g). Let's assume it is approximately 9.8 m/s^2. - The mass (m) of the object can be calculated as: m = F1 / g = 4H / 9.8 m/s^2. - The vertical distance lifted (h) is given as 0.4 m. - Therefore, the useful work (Wu) is given by: Wu = F1 * h = (4H) * (0.4 m).

2. Calculate the total work (Wt): - The force applied (F2) is given as 2H. - The distance along the inclined plane (L) is given as 1 m. - Therefore, the total work (Wt) is given by: Wt = F2 * L = (2H) * (1 m).

3. Calculate the efficiency (η): - The efficiency (η) is given by: η = (Wu / Wt) * 100.

Let's perform the calculations:

1. Calculate the useful work (Wu): - Wu = (4H) * (0.4 m) = 1.6H m.

2. Calculate the total work (Wt): - Wt = (2H) * (1 m) = 2H m.

3. Calculate the efficiency (η): - η = (Wu / Wt) * 100.

Now, let's summarize the results:

- The useful work (Wu) is 1.6H m. - The total work (Wt) is 2H m. - The efficiency (η) is calculated using the formula: η = (Wu / Wt) * 100.

Please note that the values of H and the specific units were not provided in the question, so we cannot provide the exact numerical values for the useful work, total work, and efficiency. However, the calculations provided above outline the general procedure to obtain these values based on the given data.

I hope this helps! Let me know if you have any further questions.