a force of an object a produces an acceleration 6 m/s the same force on object b of acceleration 12 m/s what acceleration would be given to the system of both objects together if the same force act on it
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Answer:
4 m/s²
Explanation:
Taking the force applied to be F,
Force = Mass * Acceleration (Newton's 2nd Law Of Motion)
In the case of the first object,
F = mass * 6
⇒ mass = F/6
In the case of the second object,
F = mass * 12
⇒ mass = F/12
The mass of the 2 objects when they are combined = F/6 + F/12
⇒ 3F/12 = F/4
To find the acceleration on the object when a force of F is applied,
F = F/4 * acceleration
⇒ acceleration = 4/F * F
⇒ acceleration = 4 m/s²
Hence, the combined object will accelerate with an acceleration of 4 m/s².
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