In an inertial frame of reference, two bodies move. The force F imparts acceleration a to the first body of mass m.
| April 30, 2021 | education
In an inertial frame of reference, two bodies move. The force F imparts acceleration a to the first body of mass m. What is the mass of the second body if half the force gave it 4 times the acceleration?
These tasks: at2 (acceleration of the second body) = 4at1 (acceleration of the first body); Fт1 (force, imparting acceleration to the first body) = 2Ft2 (force, imparting acceleration to the second body).
To find the value of the mass of the second body, we use the ratio: mt1 / mt2 = (Ft1 / at1) / (Ft2 / at2) = Ft1 * at2 / (Ft2 * at1) = 2Ft2 * 4at1 / (Ft2 * at1) = 8 or m2 = 1 / 8 m1.
Answer: The mass of the second body is 1/8 of the mass of the first.
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