Question

мальчик бросил мяч вертикально вверх с начальной скоростью 4 м/с . На какой высоте, измеренной от точки броска , кинетическая инергия будет в три раза меньше его потонцеальной энергии ? Считайте ускорение свободного подения равным 10 м/с . Сопративлением воздуха принебреч . Ответ внесите в виде числа без указания единици измерения.

Answer 1

Ответ:

2,4

Объяснение:

Ek=0.5mv^2;

Ep=mgh;

Ep/Ek=3;

(mgh)/(0.5mv^2)=3;

(gh)=3*(0.5v^2);

h=3*(0.5v^2)/g;

h=3*0.5*16/10;

h=2.4 м

Answer 2

#### Calculation of the Height at which the Kinetic Energy is Three Times Less than the Potential Energy To calculate the height at which the kinetic energy is three times less than the potential energy, we need to consider the initial velocity of the ball, the acceleration due to gravity, and the neglect of air resistance. Given: - Initial velocity (v0) = 4 m/s - Acceleration due to gravity (g) = 10 m/s^2 We can use the equations of motion to calculate the height (h) at which the kinetic energy is three times less than the potential energy. The potential energy (PE) of an object at a certain height is given by the equation: PE = m * g * h The kinetic energy (KE) of an object with a certain velocity is given by the equation: KE = (1/2) * m * v^2 To find the height at which the kinetic energy is three times less than the potential energy, we can set up the following equation: (1/2) * m * v^2 = (1/3) * m * g * h Simplifying the equation, we can cancel out the mass (m) on both sides: (1/2) * v^2 = (1/3) * g * h Substituting the given values: (1/2) * (4 m/s)^2 = (1/3) * (10 m/s^2) * h Simplifying further: 8 m^2/s^2 = (10/3) m/s^2 * h To find the value of h, we can rearrange the equation: h = (8 m^2/s^2) / ((10/3) m/s^2) Simplifying the equation: h = (8 m^2/s^2) * (3/10 m/s^2) h = 24/10 m Therefore, the height at which the kinetic energy is three times less than the potential energy is **2.4 meters**. Please note that the answer is provided in meters, as the units were not specified in the question.