Sample Problem 6. A force of 5 newtons gives a mass m, an acceleration of 8 m/s, and a mass my
acceleration of 24 m/s2. What acceleration would it give if both the masses are tied together?
Solution. In the first case:
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For the first body,
F=5N
mass=m₁
a=8m/s²
Now, F=ma
So, 5=m₁ * 8
So, m¹=5/8 kg
For second body,
F=5N
mass= m₂
a=24 m/s²
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/s²
Thus the acceleration produced will be 6 m/s²
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