Solution to problem 15.3.4 from the collection of Kepe O.E.

Let's consider the problem of throwing a material point of mass m from the Earth's surface at an angle? = 60° to the horizon with initial speed v₀ = 30 m/s. It is necessary to determine the greatest height h of the rise of the point.

To solve the problem, we will use the law of conservation of energy. As a point moves above its starting point, its kinetic energy decreases and its potential energy increases. The highest height h will correspond to the moment when the kinetic energy of the point becomes zero.

From the law of conservation of energy it follows:

mgh = (mv₀²sin²?)/2

where g is the acceleration of gravity, h is the maximum height of the point.

Solving the equation for h, we get:

h = (v₀²sin²?)/2g

Substituting the values, we get:

h = (30²·sin²60°)/(2·9.8) ≈ 34.4 m

Thus, the highest elevation of the point is about 34.4 meters.

Solution to problem 15.3.4 from the collection of Kepe O..

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In this product you will find a detailed description of the solution to the problem using the law of conservation of energy and formulas that will help you correctly calculate the maximum height of the point.

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The product is the solution to problem 15.3.4 from the collection of problems in physics by Kepe O.?.

The task is to determine the greatest height h of the rise of a material point of mass m, which was thrown from the surface of the Earth at an angle? = 60° to the horizon with an initial speed v0 = 30 m/s. The answer to the problem is 34.4.

To solve the problem, it is necessary to use the laws of mechanics, in particular, the law of conservation of energy. First you need to calculate the initial kinetic energy of a material point, then determine its potential energy at the greatest height h, and then equate them to find the value of h.

Solving the problem involves performing several mathematical operations, including calculating trigonometric functions and using a formula to calculate potential energy. All calculations must be carried out taking into account the units of measurement of quantities.

As a result, the solution to problem 15.3.4 from the collection of problems in physics by Kepe O.?. allows you to determine the greatest height of rise of a material point when thrown from the Earth's surface at an angle of 60° to the horizon and an initial speed of 30 m/s.

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