A ball weighing 0.5 kg collides with a ball of unknown mass. The resulting accelerations are 0.1 m / s2
| May 7, 2021 | education
A ball weighing 0.5 kg collides with a ball of unknown mass. The resulting accelerations are 0.1 m / s2 and 0.2 m / s2, respectively. Determine the mass of the second ball.
m1 = 0.5 kg.
a1 = 0.1 m / s2.
a2 = 0.2 m / s2.
m2 -?
According to Newton’s 3 law: the force F12, with which the first body acts on the second, is oppositely directed and is equal in magnitude to the force F21, with which the second body acts on the first: F12 = – F21.
According to Newton’s 2 law, the force F, which acts on a body, is equal to the product of the body’s mass m by its acceleration a: F = m * a.
F12 = m2 * a2, F21 = m1 * a1.
m2 * a2 = m1 * a1.
m2 = m1 * a1 / a2.
m2 = 0.5 kg * 0.1 m / s2 / 0.2 m / s2 = 0.25 kg.
Answer: the mass of the second body is m2 = 0.25 kg.
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