Solution to problem 13.1.9 from the collection of Kepe O.E.

13.1.9 It is necessary to calculate the modulus of the resultant forces acting on a material point with a mass of 3 kg at the moment of time t = 6 s, if its movement occurs along the Ox axis in accordance with the equation x = 0.04 t^3. Round your answer to the nearest hundredth and present it as a number.

To solve the problem, it is necessary to calculate the derivative of the function x(t) with respect to time t and substitute the known values. Thus, we obtain the speed equation:

v = dx/dt = 0.12 t^2

Next, you can calculate the acceleration:

a = dv/dt = 0.24 t

Now you can calculate the modulus of the force acting on a material point using the formula:

F = ma = 0.72 t

Substituting the time value t = 6 s, we get:

F = 4.32

Thus, the modulus of the resultant forces acting on a material point with a mass of 3 kg at the time t = 6 s is equal to 4.32.

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We present our new digital product - the solution to problem 13.1.9 from the collection of Kepe O.?. This problem consists of calculating the modulus of the resultant forces acting on a material point with a mass of 3 kg at the time t = 6 s, when it moves along the Ox axis, described by the equation x = 0.04 t^3.

To solve this problem, it is necessary to calculate the derivative of the function x(t) with respect to time t, which gives the velocity equation: v = dx/dt = 0.12 t^2. The acceleration can then be calculated: a = dv/dt = 0.24 t. Using the formula F = ma, we can calculate the modulus of the force acting on a material point: F = 0.72 t. Substituting the time value t = 6 s, we get the answer: F = 4.32.

Our digital product is distinguished by the accuracy and quality of the solution, as well as a convenient and beautiful design in html format. You can easily and conveniently open our file on any device and start studying the solution to the problem immediately after purchase. We guarantee that our solution meets all the requirements and standards for solving physics problems. By purchasing our digital product, you can improve your knowledge in physics and get a high-quality solution to problem 13.1.9 from the collection of Kepe O.?.

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The product is the solution to problem 13.1.9 from the collection of Kepe O.?.

In this problem, it is necessary to determine the modulus of the resultant forces acting on a material point with mass m = 3 kg at time t = 6 s. The equation of motion of a material point along the Ox axis is given: x = 0.04 t3.

To solve the problem, it is necessary to calculate the derivative of the equation of motion with respect to time in order to obtain the speed of the material point. Then it is necessary to calculate the derivative of the velocity with respect to time to obtain the acceleration of the material point. After this, you can apply Newton's second law, which states that the sum of all forces acting on a material point is equal to the product of the mass of the material point and its acceleration.

Having solved the equations, we find that the modulus of the resultant forces acting on the material point at the time t = 6 s is equal to 4.32. The answer is confirmed by the conditions of the problem.

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