Question

Упряжка собак может прикладывать к саням максимальную горизонтальную силу 500Н. Какой может быть масса саней с грузом, если коэффициент трения 0,1?

Answer 1

M=F:мю×g
500H:0,1×10м/сек^2 = 500кг
: - деление
× - умножение
^2 - степень

Answer 2

Calculation of the Maximum Mass of the Sled with a Given Horizontal Force

To calculate the maximum mass of the sled with a given horizontal force and coefficient of friction, we can use Newton's second law of motion and the equation for frictional force.

Newton's second law of motion states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force is the maximum horizontal force applied by the dog team, and the acceleration is the coefficient of friction multiplied by the gravitational acceleration.

The equation for frictional force is given by the product of the coefficient of friction and the normal force. In this case, the normal force is equal to the weight of the sled and the load.

Let's denote the maximum horizontal force as F, the coefficient of friction as μ, the mass of the sled with the load as m, and the gravitational acceleration as g.

According to the problem statement, the maximum horizontal force is 500 N, and the coefficient of friction is 0.1.

Using the equations mentioned above, we can set up the following equation:

F = μ * (m * g)

Substituting the given values:

500 N = 0.1 * (m * g)

To solve for the mass of the sled with the load (m), we need to know the value of the gravitational acceleration (g). The standard value for gravitational acceleration on Earth is approximately 9.8 m/s^2.

Let's assume the value of gravitational acceleration as 9.8 m/s^2.

Now we can solve for the mass of the sled with the load:

500 N = 0.1 * (m * 9.8 m/s^2)

Simplifying the equation:

500 N = 0.98 * m

Dividing both sides of the equation by 0.98:

m = 500 N / 0.98 ≈ 510.20 kg

Therefore, the maximum mass of the sled with the load can be approximately 510.20 kg.

Please note that this calculation assumes ideal conditions and does not take into account other factors such as air resistance or variations in the coefficient of friction.