Solution to problem 14.2.6 from the collection of Kepe O.E.

14.2.6 A material point with mass m = 1 kg moves according to the law s = 2 + 0.5 e2t. Determine the magnitude of the momentum of the point at time t = 1s. (Answer 7.39)

To solve this problem, it is necessary to calculate the speed of a material point at the time t = 1 s, and then find the magnitude of its momentum.

To do this, you need to find the derivative of the function s with respect to time t, then substitute t = 1 s into the resulting expression and calculate the speed value.

The derivative of the function s with respect to time t will be equal to ds/dt = e^(2t), therefore the value of the speed at time t = 1 s will be equal to v = ds/dt|t=1s = e^2 = 7.389.

The modulus of momentum of a point is determined by the formula p = mv, where m is the mass of the point, v is the speed of the point. Substituting the values, we get p = 1 kg * 7.389 m/s = 7.389 kg*m/s ≈ 7.39.

Thus, the modulus of the momentum of the point at time t = 1s will be equal to 7.39 kg*m/s.

Solution to problem 14.2.6 from the collection of Kepe O.?.

This digital product is a solution to problem number 14.2.6 from the collection of problems in physics, authored by O.?. Kepe. The task is to determine the modulus of momentum of a material point at a given moment in time.

This product provides a detailed solution to the problem with a step-by-step explanation of all actions. The solution is made in accordance with the rules and formulas of physics, so it can be used for educational purposes, independent preparation for exams, or simply to expand your knowledge in the field of physics.

The product is designed in a beautiful html format, which allows you to conveniently view the solution to the problem on any device with Internet access.

By purchasing this digital product, you receive a high-quality solution to a physics problem, which can become a useful tool for your education and development.

This digital product is a solution to problem No. 14.2.6 from a collection of problems in physics, authored by O.?. Kepe. The task is to determine the modulus of momentum of a material point at a given moment in time.

This product provides a detailed solution to the problem with a step-by-step explanation of all actions. The solution is made in accordance with the rules and formulas of physics, so it can be used for educational purposes, independent preparation for exams, or simply to expand your knowledge in the field of physics.

To solve the problem, it is necessary to calculate the speed of a material point at a given moment in time, and then find the modulus of its momentum. To do this, you need to find the derivative of the function s with respect to time t, then substitute t = 1 s into the resulting expression and calculate the speed value. The derivative of the function s with respect to time t will be equal to ds/dt = e^(2t), therefore the value of the speed at time t = 1 s will be equal to v = ds/dt|t=1s = e^2 = 7.389.

The modulus of momentum of a point is determined by the formula p = mv, where m is the mass of the point, v is the speed of the point. Substituting the values, we get p = 1 kg * 7.389 m/s = 7.389 kg*m/s ≈ 7.39.

The product is designed in a beautiful html format, which allows you to conveniently view the solution to the problem on any device with Internet access.

By purchasing this digital product, you receive a high-quality solution to a physics problem, which can become a useful tool for your education and development.

***

Problem book "Kepe O.?." is a collection of problems in mathematics, which contains problem 14.2.6, which requires solving a system of equations. This problem asks you to solve a system of equations consisting of two equations: x^2 + y^2 = 25 and x - y = 1. Solving this system allows you to find all the values ​​of x and y that satisfy these equations. Solving the problem can be useful for those who are studying mathematics and want to improve their skills in solving systems of equations. To solve the problem, you can use various methods, such as the substitution method or the addition of equations method.

Problem 14.2.6 from the collection of Kepe O.?. consists in determining the modulus of momentum of a material point with a mass of 1 kg, which moves according to the law s = 2 + 0.5 e2t at time t = 1 s.

To solve this problem, you need to use the formula for momentum:

p = m * v,

where p is the momentum, m is the mass of the material point, and v is its speed.

To determine the speed of a material point, it is necessary to take the derivative of the law of motion s with respect to time t:

v = ds/dt = e2t.

Now, knowing the speed of a material point, we can calculate its momentum:

p = m * v = 1 kg * e2т.

All that remains is to substitute the time value t = 1 s and calculate the modulus of momentum of the material point:

p = 1 kg * e2 = e2 kg * m/s

|p| = |e2| = 7,39.

Thus, the modulus of momentum of a material point at time t = 1 s is equal to 7.39 kg * m/s.

***

1. A very good digital product, solution to problem 14.2.6 from the collection of Kepe O.E. helped me understand the material better.
2. I am grateful for this solution to the problem, it helped me pass the exam successfully.
3. Excellent digital product, solution to problem 14.2.6 from the collection of Kepe O.E. was very clear and easy to learn.
4. Thank you for this digital product, solution to problem 14.2.6 from the collection of Kepe O.E. gave me confidence in my knowledge.
5. I used this solution to the problem for my teaching purposes and it turned out to be very effective.
6. I would recommend this solution to the problem to anyone who wants to successfully cope with the material from the collection of Kepe O.E.
7. This solution to the problem was very useful for my learning needs and I give it full marks.
8. A very good solution to the problem, it helped me improve my knowledge in mathematics.
9. I used this solution to the problem for my work and it turned out to be very useful and informative.
10. Thank you very much for this solution to the problem, it was easily accessible and useful for my learning needs.

Peculiarities:

Solution of problem 14.2.6 from the collection of Kepe O.E. turned out to be very useful for my learning purposes.

I am grateful to the author for an accessible and understandable solution to problem 14.2.6 from the collection of Kepe O.E.

This digital product helped me better understand the material on problem 14.2.6 from O.E. Kepe's collection.

Solution of problem 14.2.6 from the collection of Kepe O.E. is an excellent example of the application of theory in practice.

I really liked how the author analyzed step by step the solution of problem 14.2.6 from the collection of Kepe O.E.

Thanks to this digital product, I was able to improve my knowledge of solving problems 14.2.6 from the collection of Kepe O.E.

Solution of problem 14.2.6 from the collection of Kepe O.E. helped me prepare for the exam and get a high grade.

An excellent solution to problem 14.2.6 from O.E. Kepe's collection!

This digital product helped me solve the problem quickly and easily.

I recommend this product to anyone who is looking for an effective solution to problems.

Thank you very much for this digital product! It really makes life easier.

Problem 14.2.6 no longer causes me fear thanks to this product.

A very high quality solution! I recommend to all students.

The simple and understandable format of the problem allowed me to quickly understand the material.

Saved a lot of time with this digital product. Highly recommend!

An excellent choice for those who are looking for an effective way to solve problems.

I never thought that problem solving could be so simple and accessible. Thank you for this product!