Question

с какой нач скоростью надо бросить камень чтобы он подлетел на высоту 10м? определите его энергию в высшей точке траектории

Answer 1

Кинетическая энергия в высшей точке равна 0.   А для потенц. нужна масса тела.

Со скоростью 14,1 м/с.

Answer 2

Calculating the Initial Speed and Energy of a Thrown Stone

To calculate the initial speed required to throw a stone so that it reaches a height of 10m, we can use the following kinematic equation:

v^2 = u^2 + 2as

Where: - v = final velocity (0 m/s at the highest point) - u = initial velocity (the speed at which the stone is thrown) - a = acceleration due to gravity (-9.81 m/s^2, assuming downward direction) - s = displacement (10m, the height the stone reaches)

Solving for u, we get:

u = sqrt(v^2 - 2as)

Given that the final velocity at the highest point is 0 m/s, we can calculate the initial speed required.

The energy of the stone at the highest point of its trajectory can be calculated using the conservation of energy principle. At the highest point, the stone has maximum potential energy and minimum kinetic energy.

Calculating the Initial Speed

Using the kinematic equation, the initial speed required to throw the stone so that it reaches a height of 10m is:

u = sqrt(0^2 - 2*(-9.81)*10) u = sqrt(196.2) u ≈ 14 m/s

Therefore, the initial speed required to throw the stone is approximately 14 m/s.

Determining the Energy at the Highest Point

The energy of the stone at the highest point of its trajectory can be calculated using the conservation of energy principle. At the highest point, the stone has maximum potential energy and minimum kinetic energy.

The potential energy at the highest point can be calculated using the formula:

Potential Energy = mass * gravity * height

However, the mass of the stone is not provided, so we cannot calculate the exact potential energy without this information.

If you have the mass of the stone, we can proceed with calculating the potential energy at the highest point.