Question

2. Тело массой m соскальзывает без трения с наклонной плоскости. Какие силы действуют на тело? Чему равны модули составляющих этих сил вдоль наклонной плоскости и перпендикулярно к ней? Чему равно ускорение тела при спуске с наклонной плоскости?

Answer 1

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Answer 2

Forces Acting on the Body

When a body of mass m slides without friction on an inclined plane, there are two main forces acting on the body: the gravitational force and the normal force.

1. The gravitational force (Fg) pulls the body downward towards the center of the Earth. Its magnitude is given by the equation Fg = mg, where m is the mass of the body and g is the acceleration due to gravity.

2. The normal force (N) acts perpendicular to the surface of the inclined plane and prevents the body from sinking into the plane. Its magnitude is equal to the component of the gravitational force perpendicular to the plane, which is N = mg * cos(θ), where θ is the angle of inclination of the plane.

Magnitudes of Forces

The magnitudes of the forces acting on the body along the inclined plane and perpendicular to it can be calculated as follows:

1. The magnitude of the force acting along the inclined plane is equal to the component of the gravitational force parallel to the plane. It can be calculated using the equation F_parallel = mg * sin(θ), where θ is the angle of inclination of the plane.

2. The magnitude of the force acting perpendicular to the inclined plane is equal to the normal force, which is N = mg * cos(θ).

Acceleration of the Body

The acceleration of the body as it slides down the inclined plane can be determined using Newton's second law of motion. According to this law, the net force acting on an object is equal to the product of its mass and acceleration. In this case, the net force is the component of the gravitational force parallel to the inclined plane.

Using the equation F_parallel = mg * sin(θ) and Newton's second law (F_parallel = m * a), we can solve for the acceleration (a):

a = g * sin(θ).

Therefore, the acceleration of the body when sliding down the inclined plane is equal to the product of the acceleration due to gravity (g) and the sine of the angle of inclination (θ).

Please note that the information provided here is based on the search results and may not cover all possible scenarios or factors that could affect the motion of the body on an inclined plane.