Solution to problem 7.6.2 from the collection of Kepe O.E.

7.6.2 A graph of the speed v = v(t) of the point’s movement is given. Find the moment of time t when the tangential acceleration of point a? = 0. (Answer 3)

Problem 7.6.2 from the collection of Kepe O.?. consists in finding the moment of time t when the tangential acceleration of the point of motion a = 0, if the velocity graph v = v(t) is known.

To solve the problem, you need to use the formula to calculate the tangential acceleration of a point, which is expressed as the derivative of speed with respect to time:

a = dv/dt

In order to find the moment of time t when a = 0, it is necessary to analyze the speed graph and find the point at which the tangent to the graph is horizontal (that is, it has a zero slope). In this problem, such a point is located at t = 3.

Thus, the answer to problem 7.6.2 from the collection of Kepe O.?. is t = 3.


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Problem 7.6.2 from the collection of Kepe O.?. refers to the section "Thermal phenomena". The mass of the initial body and its initial temperature are given, as well as the mass of the substance necessary to heat it to a certain temperature. It is required to determine the final body temperature after heating.

Solving the problem comes down to applying the law of conservation of energy. It is necessary to calculate the amount of heat required to heat the initial body, and then use it to determine the final temperature.

To solve the problem, you will need knowledge of the heat capacity of a substance and formulas for calculating the amount of heat released or absorbed when the temperature changes. In the collection of Kepe O.?. you can find the corresponding formulas and tables with data on the heat capacity of various substances.


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