Question

Шар массой 500гр ударяется о другой шар. Его ускорение 100см/с^2, второго-50см/с^2. Какова масса второго шара?

Answer 1

Дано: си:
m1-500 гр. 0,5кг
а1-100 см/с^2. 1м/с^2
а2-50 см/с2. 0,5м/с^2
найти:
m2-?
решение: т.к. ускорение первого шара в 2 раза больше, значит масса будет тоде в 2 раза больше. так как чем меньше масса тем больше ускорение. и наоборот. значит масса второго шара равна 1000 гр.

Answer 2

Calculation of the Second Ball's Mass

To calculate the mass of the second ball, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a).

In this case, we have two balls colliding. Let's denote the mass of the first ball as m1 and the mass of the second ball as m2. The acceleration of the first ball is given as 100 cm/s^2 and the acceleration of the second ball is given as 50 cm/s^2.

When the two balls collide, they exert equal and opposite forces on each other. Therefore, the force exerted by the first ball on the second ball is equal to the force exerted by the second ball on the first ball.

Using Newton's second law, we can set up the following equation:

m1 * a1 = m2 * a2

Substituting the given values, we have:

m1 * 100 cm/s^2 = m2 * 50 cm/s^2

To solve for m2, we can rearrange the equation as follows:

m2 = (m1 * 100 cm/s^2) / 50 cm/s^2

Now, let's substitute the given mass of the first ball, which is 500 grams (or 0.5 kg), into the equation:

m2 = (0.5 kg * 100 cm/s^2) / 50 cm/s^2

Simplifying the equation, we have:

m2 = 1 kg

Therefore, the mass of the second ball is 1 kilogram.

Please note that the given information does not provide the mass of the first ball, so we cannot determine its mass. We can only calculate the mass of the second ball based on the given information.