Question

Мяч брошен вертикально вверх с балкона, назодящегося на высоте 25 м над Землей со скоростью 20м/с. найти скорость мяча в моментего приземления

Answer 1

25 разделить на 20 равно 1.25

Answer 2

Calculation of the Ball's Velocity at the Moment of Landing

To find the velocity of the ball at the moment of landing, we can use the principle of conservation of energy. The initial potential energy of the ball when it is thrown vertically upwards from a balcony is converted into kinetic energy at the moment of landing.

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) - h is the height from which the ball is thrown

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 - v is the velocity of the ball

Since the ball is thrown vertically upwards, its final velocity at the highest point is 0 m/s. Therefore, the initial kinetic energy is also 0.

Using the principle of conservation of energy, we can equate the initial potential energy to the final kinetic energy:

mgh = (1/2)mv^2

Simplifying the equation, we can cancel out the mass of the ball:

gh = (1/2)v^2

Solving for v, the velocity of the ball at the moment of landing:

v = sqrt(2gh)

Now, let's substitute the given values into the equation:

- g = 9.8 m/s^2 (acceleration due to gravity) - h = 25 m (height from which the ball is thrown)

v = sqrt(2 * 9.8 * 25) m/s

Calculating the value:

v ≈ 31.3 m/s

Therefore, the velocity of the ball at the moment of landing is approximately 31.3 m/s.