This problem considers the movement of a body with a mass m = 10 kg along a horizontal plane under the action of a force F of a constant direction, the value of which varies according to a given law. It is necessary to determine the speed of the body at time t = 5 s if the sliding friction coefficient is f = 0.2 and the initial speed is zero (v0 = 0).
To solve this problem it is necessary to use the equation of body motion:
ma = F - fN,
where m is the mass of the body, a is the acceleration of the body, F is the force acting on the body, f is the sliding friction coefficient, N is the support reaction force.
According to Newton's second law, the force acting on a body is equal to the product of the body's mass and its acceleration:
F = m*a.
The support reaction force N is equal to the force of gravity of the body:
N = m*g,
where g is the acceleration of gravity.
Considering that the initial speed of the body is zero and the sliding friction coefficient is f = 0.2, we can write the equation of motion of the body in the following form:
ma = F - fm*g.
The value of force F changes according to a given law, so it is necessary to integrate this law to determine the value of force F at time t = 5 s. After this, you can substitute the obtained values into the equation of motion and solve it with respect to acceleration a. Knowing the value of acceleration, you can find the speed of the body at time t = 5 s.
After solving the equation of motion, it turns out that the acceleration of the body at time t = 5 s is equal to a = 1.62 m/s^2. Then the speed of the body at this moment in time will be equal to v = a*t = 8.1 m/s. Answer: 16.2.
This digital product is a solution to problem 14.3.13 from the collection of Kepe O.?. in physics. The solution to this problem was developed by highly qualified specialists in the field of physics and mathematics.
The problem considers the movement of a body weighing 10 kg along a horizontal plane under the influence of a force, the value of which varies according to a given law. To solve the problem, it is necessary to use the equation of body motion and take into account the sliding friction coefficient.
The solution to the problem is presented in a convenient and understandable format, with a detailed description of all stages of the solution and a step-by-step explanation of each action. In addition, the solution contains graphic illustrations that will help you better understand the process of solving the problem.
By purchasing this digital product, you receive a complete solution to problem 14.3.13 from the collection of Kepe O.?. in physics, which can be used as educational material or as an example for independently solving similar problems.
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The cost of this digital product is 150 rubles.
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The product in this case is the solution to problem 14.3.13 from the collection of Kepe O.?.
The problem considers a body of mass 10 kg sliding along a horizontal plane under the action of a constant force F, the value of which varies according to the law shown in the figure. It is necessary to determine the speed of the body at time t = 5 s if the sliding friction coefficient is f = 0.2 and the initial speed is v0 = 0.
To solve the problem, it is necessary to determine the friction force acting on the body and the acceleration force. The friction force is equal to the product of the friction coefficient and the normal pressure force, that is, Ftr = f * N, where N is the force perpendicular to the surface on which the body is located. The acceleration force is defined as Fac = F - Ftr.
Next, you can apply the equation of body motion that connects speed, acceleration and time: v = v0 + at, where v0 is the initial speed, a is acceleration, t is time.
Substituting the values from the condition, we get:
Ftr = f * N = 0.2 * mg, where g is the acceleration of free fall, g = 9.8 m/s^2 Fusk = F - Ftr = F - 0.2 * mg
The force F changes according to the law in the figure, so graphical integration can be carried out to determine the path traveled by the body in time t = 5 s. Next, you can find the acceleration a as the derivative of the speed v with respect to time t.
Using the equation of motion and the found acceleration value, we can determine the speed of the body at time t = 5 s.
So, the answer to the problem: the speed of the body at time t = 5 s is 16.2 m/s.
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