A force of 5N gives a mass M1 an acceleration of 8m/s^2 and a mass m2 an acceleration of 24m/s^2. What will be the acceleration when both masses are tied together?
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Explanation:
Given :-
Force, F = 5.0 N
Acceleration of the first body, a₁ = 8.0 m/s²
Acceleration of the second body, a₂ = 24 m/s²
To Calculate :-
Acceleration for a body of mass, m₁ + m₂ = ??
Formula to be used :-
F = ma
Our first problem is to find m₁ and m₂.
Therefore, using : m₁ = F/a₁ and m₂ = F/a₂
m₁ = 5/8 kg and m₂ = 5/24 kg
Therefore, m = m₁ + m₂
= 5/8 + 5/24
= 15 + 5/24
= 20/24 kg
Hence, a = F/m = 5/20/24
a = 15 + 5/24 = 120/20 = 6.0 m/s².
Hence, the masses are tied together is 6.0 m/s²
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