Question

Во сколько раз изменится относительно первоначального модуль импульса лодки, если его масса увеличится в 3,4 раз(-а), а скорость увеличится в 7,4 раз(-а)? Ответ (округли до тысячных)

Answer 1

Ответ:

Объяснение:

Импульс тела равен P=m*V, где V- скорость

Напишем для первого случая и для второго:

P1= m1*V1

P2=3.4m1*7.4V1

Найдем во сколько раз изменился импульс

P2/P1=3.4m1*7.4V1/m1V1

сократим массу и скорость

P2/P1=25.16

Answer 2

Calculation of Change in Momentum

To calculate the change in momentum of the boat, we need to consider the initial momentum and the final momentum. The momentum of an object is given by the product of its mass and velocity.

Let's assume the initial mass of the boat is m and the initial velocity is v. The initial momentum (p1) can be calculated as:

p1 = m * v .

If the mass of the boat increases by a factor of 3.4 and the velocity increases by a factor of 7.4, the final mass (m2) and final velocity (v2) can be calculated as:

m2 = 3.4 * m v2 = 7.4 * v.

The final momentum (p2) can be calculated using the final mass and velocity:

p2 = m2 * v2.

To find the change in momentum, we subtract the initial momentum from the final momentum:

Change in momentum = p2 - p1.

Let's calculate the change in momentum using the given values.

Calculation:

Let's assume the initial mass of the boat is 1 unit and the initial velocity is 1 unit.

Initial momentum (p1) = 1 * 1 = 1.

Final mass (m2) = 3.4 * 1 = 3.4.

Final velocity (v2) = 7.4 * 1 = 7.4.

Final momentum (p2) = 3.4 * 7.4 = 25.16.

Change in momentum = p2 - p1 = 25.16 - 1 = 24.16.

Therefore, the change in momentum of the boat, rounded to three decimal places, is approximately 24.160.

Please note that the above calculation assumes that the direction of the velocity remains the same. If the direction changes, the change in momentum will be different.

I hope this helps! Let me know if you have any further questions.