Question

Нога футболиста ударяет мяч массой 0,8 кг с силой 300H. При этом мяч приобретает скорость 20 м/с. Определите продолжительность удара

Answer 1

Ft=um
t=um/F
S=ut=u²m/F=1,06м

Answer 2

Calculation of the Duration of the Kick

To determine the duration of the kick, we can use the equation of motion:

v = u + at

where: - v is the final velocity of the ball (20 m/s), - u is the initial velocity of the ball (0 m/s), - a is the acceleration of the ball, - t is the time taken for the kick.

Since the ball is kicked by the footballer's leg, the acceleration of the ball can be calculated using Newton's second law of motion:

F = ma

where: - F is the force applied to the ball (300 N), - m is the mass of the ball (0.8 kg), - a is the acceleration of the ball.

Rearranging the equation, we have:

a = F / m

Substituting the given values, we get:

a = 300 N / 0.8 kg

Now, we can substitute the values of v, u, and a into the equation of motion to find the time taken for the kick:

20 m/s = 0 m/s + (300 N / 0.8 kg) * t

Simplifying the equation, we have:

20 m/s = (375 N/kg) * t

Solving for t, we get:

t = (20 m/s) / (375 N/kg)

Calculating the value, we find:

t ≈ 0.0533 s

Therefore, the duration of the kick is approximately 0.0533 seconds.

Please note that the above calculation assumes that the force is applied to the ball instantaneously and neglects factors such as air resistance and the deformation of the ball upon impact.