Question

ПОМОГИТЕ!!! Определите КПД наклонной плоскости длиной 2,6 м и высотой 1 м, если коэффициент трения во время движения по ней составляет 0,15. Ответ дайте в процентах, округлив до десятых.

Answer 1

Ответ:

КПД=An/A3; An=m*g*h;

A3=F*S;

F-m*g*sin(a)-k*m*g*cos(a)=0;

F=m*g*sin(a)+k*m*g*cos(a);

sin(a)=h/S;

cos(a)=(1-(sin(a))^2)^0,5;

КПД=(h)/((h/S)+k*(1-(h/S)^2)^0,5)*S;

h=0,6;S=1; k=0,1.

Объяснение:

Answer 2

Calculation of Efficiency (КПД) of an Inclined Plane

To determine the efficiency (КПД) of an inclined plane, we need to consider the length of the plane, its height, and the coefficient of friction during motion.

Given: - Length of the inclined plane (L) = 2.6 m - Height of the inclined plane (h) = 1 m - Coefficient of friction (μ) = 0.15

Efficiency (КПД) is defined as the ratio of useful work output to the total work input. In the case of an inclined plane, the useful work output is the work done against gravity, and the total work input is the work done against both gravity and friction.

The useful work output (W_out) can be calculated using the formula:

W_out = m * g * h

where: - m is the mass of the object - g is the acceleration due to gravity (approximately 9.8 m/s^2) - h is the height of the inclined plane

The total work input (W_in) can be calculated using the formula:

W_in = F_in * d

where: - F_in is the force applied parallel to the inclined plane - d is the distance traveled along the inclined plane

In this case, the force applied parallel to the inclined plane is the force required to overcome both gravity and friction. It can be calculated using the formula:

F_in = m * g * sin(θ) + m * g * cos(θ) * μ

where: - θ is the angle of inclination of the plane

The distance traveled along the inclined plane (d) is equal to the length of the inclined plane (L).

Now, let's calculate the efficiency (КПД) of the inclined plane.

Calculation:

Given: - Length of the inclined plane (L) = 2.6 m - Height of the inclined plane (h) = 1 m - Coefficient of friction (μ) = 0.15

First, we need to calculate the angle of inclination (θ) using the height and length of the inclined plane:

θ = arctan(h / L)

Substituting the given values:

θ = arctan(1 / 2.6) ≈ 0.3805 radians

Next, we can calculate the useful work output (W_out) using the mass of the object (m), acceleration due to gravity (g), and the height of the inclined plane (h):

W_out = m * g * h

To calculate the total work input (W_in), we need to calculate the force applied parallel to the inclined plane (F_in) using the mass of the object (m), acceleration due to gravity (g), angle of inclination (θ), and the coefficient of friction (μ):

F_in = m * g * sin(θ) + m * g * cos(θ) * μ

Finally, we can calculate the efficiency (КПД) using the formulas:

КПД = (W_out / W_in) * 100

Now, let's plug in the values and calculate the efficiency (КПД) of the inclined plane.

Calculation:

Given: - Length of the inclined plane (L) = 2.6 m - Height of the inclined plane (h) = 1 m - Coefficient of friction (μ) = 0.15

Using the given values, we can calculate the angle of inclination (θ):

θ = arctan(1 / 2.6) ≈ 0.3805 radians

Next, we can calculate the useful work output (W_out) using the mass of the object (m), acceleration due to gravity (g), and the height of the inclined plane (h):

W_out = m * g * h

To calculate the total work input (W_in), we need to calculate the force applied parallel to the inclined plane (F_in) using the mass of the object (m), acceleration due to gravity (g), angle of inclination (θ), and the coefficient of friction (μ):

F_in = m * g * sin(θ) + m * g * cos(θ) * μ

Finally, we can calculate the efficiency (КПД) using the formulas:

КПД = (W_out / W_in) * 100

Please provide the mass of the object (m) so that we can proceed with the calculation.