A ball weighing 0.5 kg collides with a ball of unknown mass. The accelerations obtained by them are equal to 0.1m / s

A ball weighing 0.5 kg collides with a ball of unknown mass. The accelerations obtained by them are equal to 0.1m / s ^ 2 and 0.2m / s ^ 2, respectively. Determine the mass of the second ball.

According to Newton’s third law:

F1 → 2 = -F2 → 1, where F2 → 1 and F1 → 2 are the forces with which the balls acted on each other.

F1 → 2 = m1 * a1, where m1 (mass of the first ball) = 0.5 kg, a1 (acceleration of the first ball) = 0.1 m / s2.

F2 → 1 = m2 * a2, where a2 (acceleration of the second ball) = 0.2 m / s2.

m1 * a1 = m2 * a2.

m2 = m1 * a1 / a2.

Let’s perform the calculation:

m2 = 0.5 * 0.1 / 0.2 = 0.25 kg.

Answer: The mass of the second ball is 0.25 kg.