Question

Футболист, ударив мяч массой 500 г, сообщил ему скорость 15 м/с. Если масса футболиста 60 кг, а время удара 0.3 с, то импульс силы, действующей на мяч равен ... , а импульс силы, действующего на ногу футболиста равен ... .

Answer 1

По закону сохранения импульса эти импульсы равны... (И масса футболиста здесь не причем... )

Импульс мяча:
p = m*V = 0,5 * 15 = 7,5 кг*м/с

F*t = p
F = p/t = 7,5/0,3 = 25 Н   - сила удара ногой по мячу...

Answer 2

Calculation of Impulse

To calculate the impulse, we can use the formula:

Impulse = Change in momentum

The momentum of an object is given by the product of its mass and velocity:

Momentum = mass × velocity

Given: - Mass of the ball (m1) = 500 g = 0.5 kg - Velocity of the ball (v1) = 15 m/s - Mass of the footballer (m2) = 60 kg - Time of impact (t) = 0.3 s

First, let's calculate the momentum of the ball:

Momentum of the ball (p1) = m1 × v1

Substituting the values, we get:

p1 = 0.5 kg × 15 m/s

To find the impulse on the ball, we need to calculate the change in momentum. Since the ball comes to rest after impact, the change in momentum is equal to the initial momentum:

Impulse on the ball = Change in momentum = p1

Next, let's calculate the impulse on the footballer's leg:

Impulse on the footballer's leg = Change in momentum

The momentum of the footballer's leg before impact is given by:

Momentum of the footballer's leg (p2) = m2 × v2

Since the velocity of the footballer's leg before impact is not given, we cannot calculate the impulse on the footballer's leg without this information.

Please provide the velocity of the footballer's leg before impact, and I will be able to calculate the impulse on the footballer's leg.