Question

ОТДАМ ВСЕ БАЛЫ СРОЧНО СРОЧНО СРОЧНО Решите пожалуйста : При столкновений двух шаров их скорости изменились на 60 см/с и 20 см/с . Масса более легкого шара 500г . Какова масса другого шара. Зарание Спасибо

Answer 1

Вроде вот так:
Сначала в единицы СИ: m1=0.5кг, чем больше скорость, тем больше масса
V1'=V1+0.6 м/с, V2'=V2+0.2 м/с
По закону сохранения импульса:
m1V1+m2V2=m1(V1+0.6)+m2(V2+0.2)
m1V1-m1(V1+0.6)=m2(V2+0.2)-m2V2
m1(V1-V1-0.6)=m2(V2+0.2-V2)
-0.6m1=0.2m2, так как шары оттолкнулись, минус перед одним из них, тем более меньшем, очевиден, массу мы берем по модулю, значит:
m2=1.5кг или 1500г

Answer 2

Calculation of the mass of the other ball

To calculate the mass of the other ball, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

The momentum of an object is given by the product of its mass and velocity. Therefore, we can write the equation:

m1 * v1 + m2 * v2 = m1 * v1' + m2 * v2'

Where: - m1 is the mass of the first ball (given as 500g) - v1 is the initial velocity of the first ball - m2 is the mass of the second ball (which we need to find) - v2 is the initial velocity of the second ball - v1' is the final velocity of the first ball (after the collision) - v2' is the final velocity of the second ball (after the collision)

We are given that the velocities of the balls change by 60 cm/s and 20 cm/s, respectively. Let's assume that the initial velocities are positive and the final velocities are negative (since the direction of the velocities change after the collision). Therefore, we can rewrite the equation as:

0.5 kg * v1 + m2 * v2 = 0.5 kg * (-60 cm/s) + m2 * (-20 cm/s)

Simplifying the equation, we get:

0.5 kg * v1 + m2 * v2 = -30 kg*cm/s - 20 m2*cm/s

Now, let's solve the equation to find the mass of the second ball.

Please note that the units of the velocities are in cm/s, and we need to convert them to kg*cm/s for consistency with the units of mass.

Let's calculate the mass of the second ball.