
найти работу подъема груза по наклонной плоскости, если масса груза 100 кг, длина наклонной
плоскости 2м, угол наклона 30 градусов, коэффициент трения 0,1 и груз движется с ускорением 1м/с в квадрате

Ответы на вопрос

Велечины по данной задаче:
cosA=sqrt(3)/2
sinA=0.5
Во влажениях рисунок к задачи и решение. Вам остается только подставить числа!!!



Calculation of the Force Required to Lift the Load
To find the force required to lift the load up the inclined plane, we need to consider the weight of the load, the angle of inclination, and the coefficient of friction.
Given: - Mass of the load (m): 100 kg - Length of the inclined plane (l): 2 m - Angle of inclination (θ): 30 degrees - Coefficient of friction (μ): 0.1 - Acceleration (a): 1 m/s^2
First, let's calculate the weight of the load using the formula:
Weight (W) = mass (m) × acceleration due to gravity (g)
The acceleration due to gravity is approximately 9.8 m/s^2.
Weight (W) = 100 kg × 9.8 m/s^2 = 980 N.
Next, we need to calculate the force required to lift the load up the inclined plane. This force can be determined using the following formula:
Force (F) = Weight (W) × (sin θ + μ cos θ).
Substituting the given values:
Force (F) = 980 N × (sin 30° + 0.1 cos 30°).
To calculate the sine and cosine of 30 degrees, we can use a scientific calculator or refer to trigonometric tables. The values are approximately:
sin 30° ≈ 0.5 and cos 30° ≈ 0.866.
Substituting these values into the equation:
Force (F) = 980 N × (0.5 + 0.1 × 0.866) ≈ 980 N × 0.586 ≈ 573.08 N.
Therefore, the force required to lift the load up the inclined plane is approximately 573.08 N.
Calculation of the Work Done
To calculate the work done in lifting the load up the inclined plane, we can use the formula:
Work (W) = Force (F) × Distance (d).
Given: - Force (F): 573.08 N - Distance (d): 2 m
Substituting these values into the equation:
Work (W) = 573.08 N × 2 m = 1146.16 J.
Therefore, the work done in lifting the load up the inclined plane is approximately 1146.16 Joules.
Calculation of the Power
To calculate the power, we can use the formula:
Power (P) = Work (W) / Time (t).
However, the time is not provided in the given information. Therefore, we cannot calculate the power without knowing the time taken to lift the load.
Please provide the time taken to lift the load, and I will be able to calculate the power for you.


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