Question

Брусок масою 3 кг під дією вантажу масою 1 кг рухається по горизонтальній поверхні з прискоренням 1м/с. Визначити силу натягу нитки, та коефіцієнт тертя​

Answer 1

Ответ:

см

Фото

Объяснение:

Answer 2

Problem Analysis

We are given a block with a mass of 3 kg that is being acted upon by a force of 1 kg. The block is moving horizontally with an acceleration of 1 m/s². We need to determine the tension force in the string and the coefficient of friction.

Solution

To solve this problem, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. We can also consider the forces acting on the block, including the tension force in the string and the force of friction.

Let's break down the problem step by step:

1. Determine the net force acting on the block: - According to Newton's second law, the net force is equal to the product of the mass and acceleration: F_net = m * a. - Substituting the given values, we have F_net = 3 kg * 1 m/s².

2. Determine the force of friction: - The force of friction can be calculated using the equation f_friction = μ * N, where μ is the coefficient of friction and N is the normal force. - Since the block is moving horizontally, the normal force is equal to the weight of the block, which is N = m * g, where g is the acceleration due to gravity (approximately 9.8 m/s²). - Substituting the given values, we have N = 3 kg * 9.8 m/s². - Now we can calculate the force of friction using the equation f_friction = μ * N.

3. Determine the tension force in the string: - The tension force in the string can be calculated by considering the forces acting on the block. - The tension force is equal to the sum of the force of friction and the net force: Tension = f_friction + F_net.

4. Determine the coefficient of friction: - The coefficient of friction can be calculated using the equation μ = f_friction / N.

Let's calculate the values step by step:

1. Calculate the net force: - F_net = 3 kg * 1 m/s² = 3 N.

2. Calculate the force of friction: - N = 3 kg * 9.8 m/s² = 29.4 N. - f_friction = μ * N.

3. Calculate the tension force in the string: - Tension = f_friction + F_net.

4. Calculate the coefficient of friction: - μ = f_friction / N.

Now, let's calculate the values using the given information.