Question

Мяч бросили вертикально вверх со скоростью 36км/ч.На какой высоте его кинетическая энергия будет равна потенциальной.

Answer 1

5 если не правильно пиши

Answer 2

Calculation of Kinetic and Potential Energy

To determine the height at which the kinetic energy of the ball is equal to its potential energy, we need to consider the formulas for kinetic energy and potential energy.

The formula for kinetic energy is given by:

KE = (1/2)mv^2.

Where: - KE is the kinetic energy, - m is the mass of the ball, and - v is the velocity of the ball.

The formula for potential energy is given by:

PE = mgh.

Where: - PE is the potential energy, - m is the mass of the ball, - g is the acceleration due to gravity (approximately 9.8 m/s^2), and - h is the height.

To find the height at which the kinetic energy is equal to the potential energy, we can equate the two formulas:

(1/2)mv^2 = mgh.

We can cancel out the mass (m) from both sides of the equation:

(1/2)v^2 = gh.

Now, we can solve for h:

h = (1/2)v^2 / g.

Given that the ball was thrown vertically upwards with a velocity of 36 km/h, we need to convert the velocity to m/s:

36 km/h = 36,000 m/3600 s = 10 m/s.

Substituting the values into the equation, we can calculate the height:

h = (1/2)(10 m/s)^2 / 9.8 m/s^2.

Simplifying the equation:

h = (1/2)(100 m^2/s^2) / 9.8 m/s^2.

h = 50 m / 9.8.

h ≈ 5.1 meters.

Therefore, the height at which the kinetic energy of the ball is equal to its potential energy is approximately 5.1 meters.

Conclusion

The height at which the kinetic energy of the ball will be equal to the potential energy is approximately 5.1 meters.