a mass A 50 A force of 5N produces an acceleration of 8m/s on my and acceleration of 24 m/s² on mass my. What acceleration would the same forice provide if both the masses are tied together?
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For the first body,
F=5N
mass=m₁
a=8m/s^2
Now, F=ma
So, 5=m₁ * 8
So, m^1=5/8 kg
For second body,
F=5N
mass= m₂
a=24 m/s^2
Now, F=ma
So, 5=m₂ * 24
So, m₂=5/24 kg
Combined mass of both bodies, m₁+m₂= 5/8 + 5/24
= (15+5)/24
= 20/24 kg
Now, m= 20/24 kg
F= 5N
a= ?
F=ma
So, 5= 20/24 * a
So, a=5*24/20
So, a= 6m/s^2
Thus the acceleration produced will be 6 m/s^2
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