Question

При столкновении двух шаров их скорость изменилась на 60см/с и 20см/с. Масса более лёгкого шара 500г. Какова масса другого шара?

Answer 1

$U_1=$60см/с=0,6м/c; 
$U_2=$20см/с=0,2м/с;
$m_1=500$г=$0,5$кг
Исходя из III закона Ньютона:
$F_1=-F_2 =\ \textgreater \ |F_1|=|F_2|$
$|m_1a_2|=|m_2a_2| =\ \textgreater$
$m_2=| \frac{m_1U_1}{U_2}|=m_1|\frac{U_1}{U_2}|=0,5* \frac{0,6}{0,2}=1,5$кг

Answer 2

Calculation of the Mass of the Second Ball

To calculate the mass of the second 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.

Let's assume that the first ball has a mass of 500 grams (0.5 kilograms) and the second ball has a mass of m (to be determined). The initial velocity of the first ball is 60 cm/s, and the initial velocity of the second ball is 20 cm/s.

The total momentum before the collision can be calculated as the sum of the individual momenta of the two balls:

Total momentum before collision = (mass of first ball) × (initial velocity of first ball) + (mass of second ball) × (initial velocity of second ball)

The total momentum after the collision is given by:

Total momentum after collision = (mass of first ball) × (final velocity of first ball) + (mass of second ball) × (final velocity of second ball)

Since the final velocities are not given, we can use the given information to set up two equations:

1. Total momentum before collision = Total momentum after collision 2. (mass of first ball) × (initial velocity of first ball) + (mass of second ball) × (initial velocity of second ball) = (mass of first ball) × (final velocity of first ball) + (mass of second ball) × (final velocity of second ball)

Substituting the given values into the equations, we have:

1. (0.5 kg) × (60 cm/s) + (m) × (20 cm/s) = (0.5 kg) × (final velocity of first ball) + (m) × (final velocity of second ball)

To solve for the mass of the second ball, we need additional information about the final velocities of the two balls after the collision. Without this information, we cannot determine the exact mass of the second ball.

Please provide the final velocities of the two balls after the collision, or any additional information that may be relevant to the problem.