How do the accelerations of two interacting bodies differ if the mass of the first body is 3 times
| September 28, 2021 | education
How do the accelerations of two interacting bodies differ if the mass of the first body is 3 times less than the second body?
According to Newton’s third law:
F2 → 1 = -F1 → 2, where F2 → 1 and F1 → 2 are the forces of interacting bodies, F1 = m1 * a1 (m1 is the mass of the first body, a1 is the acceleration of the first body), F2 = m2 * a2 (m2 is the mass the second body, a2 is the acceleration of the second body).
By the condition of the problem: 3m1 = m2.
m1 * a1 = m2 * a2.
m1 * a1 = 3m1 * a2.
a1 / a2 = 3m1 / m1 = 3 times.
Answer: The accelerations of two interacting bodies differ 3 times.
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