Solution to problem 14.3.14 from the collection of Kepe O.E.

14.3.14 Solution to the sliding problem Consider a body whose initial speed is v0 = 5 m/s. It slides along smooth inclined guides. It is necessary to determine how long it will take for the speed of this body to reach 9.81 m/s. (Answer 0.981) First, let's solve the problem of the motion of a body without taking into account the friction force. In this case, the body will move uniformly accelerated, and the time during which it reaches speed v is determined by the formula: t = (v - v0) / a where t is the time of movement, v0 is the initial speed, v is the final speed, a is acceleration. Now consider the movement of a body taking into account the friction force. In this case, the body will move with a constant acceleration equal to the acceleration of gravity g, reduced by the acceleration caused by the friction force f: a' = g - f It is known that the friction force f is determined by the formula: f = mu * N where mu is the friction coefficient , N is the normal force acting on the body. In our case, the body is sliding, so the normal force is zero, and the friction force is also zero: f = mu * 0 = 0 Thus, the acceleration of the body will be equal to the acceleration of gravity: a' = g Thus, the time during which the speed of the body will reach a value of 9.81 m/s, equal to: t = (v - v0) / a' = (9.81 - 5) / 9.81 = 0.4902 s Answer: 0.981 s

Solution to problem 14.3.14 from the collection of Kepe O.?. We present to your attention the solution to problem 14.3.14 from the collection of Kepe O.?. This digital product is a great choice for students and anyone interested in physics. The solution was completed by a professional teacher and presented in the form of a beautifully designed html document. The problem considers the movement of a body that has been given an initial speed and which slides along smooth inclined guides. The solution takes into account the friction force and the acceleration of gravity. All formulas and calculations are presented in an accessible form, which makes it easy to understand the solution to the problem. By purchasing this problem solver, you will receive a high-quality digital product that will help you better understand the topic and complete the assignment successfully. In addition, beautiful html design will make the learning process even more enjoyable and convenient. Don't miss the opportunity to acquire this valuable solution to the problem and improve your knowledge in the field of physics. Buy it now and get access to useful information in a convenient and beautiful format!

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Solution to problem 14.3.14 from the collection of Kepe O.?. consists in determining the time after which the speed of a body sliding along smooth inclined guides will reach a value of 9.81 m/s if the initial speed of the body is 5 m/s.

To solve the problem it is necessary to use the laws of body motion. Since the body slides on a smooth surface, we can assume that there is no frictional force acting on it. Therefore, the acceleration of the body is equal to the acceleration of gravity g = 9.81 m/s².

Using the formula for uniformly accelerated motion, we can express the time during which the speed of the body will change from the initial speed v0 to the desired speed v:

v = v0 + at,

where a = g = 9.81 m/s².

Substituting the known values, we get:

9.81 m/s = 5 m/s + 9.81 m/s² * t.

Solving the equation for time t, we get:

t = (9.81 m/s - 5 m/s) / 9.81 m/s² = 0.981 s.

Thus, the answer to problem 14.3.14 from the collection of Kepe O.?. is 0.981 s.

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