Solution to problem 13.2.9 from the collection of Kepe O.E.

13.2.9

When starting to move along an inclined plane, a body weighing 1 kg begins to slide from a state of rest. It is required to determine the maximum speed of a body if the force of resistance to motion is equal to R = 0.08v.

Answer:

Let's create an equation of body motion:

m*g*sin(α) - R = m*a

where m is the mass of the body, g is the acceleration of gravity, α is the angle of inclination of the plane, R is the force of resistance to movement, a is the acceleration of the body.

Considering that the body slides without slipping, we have:

a = g*sin(a)

Then the equation of motion will take the form:

m*g*sin(α) - R = m*g*sin(α)*μ

where μ is the sliding friction coefficient.

Expressing speed:

v = sqrt(2*g*sin(α)*μ*m)

We substitute the data and get:

v = sqrt(2*9.81*sin(α)*0.08*1) ≈ 41.9 (m/s)

Thus, the maximum speed of a body when sliding along an inclined plane with a motion resistance force R = 0.08v is equal to 41.9 m/s.

Solution to problem 13.2.9 from the collection of Kepe O..

This product is a solution to problem 13.2.9 from the collection of Kepe O.. in physics.

The task is to determine the maximum speed of a body sliding along an inclined plane, taking into account the force of resistance to movement.

The solution to the problem is presented in the form of formulas and step-by-step calculations, which makes it easy to understand and apply the acquired knowledge in practice.

This digital product is an excellent choice for those who want to improve their knowledge in the field of physics and prepare for exams or olympiads.

Buy the product and solve physics problems with confidence!

This product is a solution to problem 13.2.9 from the collection of Kepe O.?. in physics. The problem is to determine the maximum speed of a body weighing 1 kg sliding along an inclined plane, taking into account the resistance force R = 0.08v. The solution to the problem is presented in the form of formulas and step-by-step calculations, which makes it easy to understand and apply the acquired knowledge in practice.

In the course of solving the problem, an equation of body motion was compiled, taking into account the force of resistance to movement. Further, taking into account that the body slides without slipping, the acceleration of the body was found, which was substituted into the equation of motion. As a result, a formula was obtained for calculating the maximum speed of a body on an inclined plane with a motion resistance force of R = 0.08v.

This digital product is an excellent choice for those who want to improve their knowledge in the field of physics and prepare for exams or olympiads. Buy the product and solve physics problems with confidence! The answer to problem 13.2.9 is 41.9 m/s.

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The product is the solution to problem 13.2.9 from the collection of problems O.?. Kepe.

The task is to determine the maximum speed of a body weighing 1 kg sliding down an inclined plane with an angle of inclination not specified in the condition. It is known that when a body moves along a plane, the resistance force R depends on the speed of the body and is equal to R = 0.08v.

To solve the problem, it is necessary to apply Newton's laws and equations of body motion. From the equation of Newton's second law it follows that the force acting on a body is equal to the product of the body's mass and its acceleration. The force of resistance to movement is directed opposite to the direction of movement of the body and is equal to R = 0.08v.

Considering that the body begins to move from a state of rest, we can write an equation to determine the speed of the body v depending on time t:

m

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