A constant force of 5 N can produce an acceleration of 1 m/s^2 on the body of mass m1 and 2 m/s^2 on the body of mass m2. If both the masses are tied together and the same force is applied, then what will be the acceleration of the system?
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Explanation:
0.66m/s² is the answer inthink
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Given:-
•Force(F)=5N
•Ist mass=m1
•2nd mass=m2
•Acceleration of m1(a1)=1m/s²
•Acceleration of m2(a2)=2m/s²
To find:-
•Acceleration of the system when both the mass are tied together i.e m1+m2
Solution:-
For mass m1:-
By Newton's 2nd law of motion,we know that:-
=>F=m1a1
=>m1=F/a1
=>m1=5/1
=>m1=5kg
For mass m2:-
=>F=m2a2
=>m2=F/a2
=>m2=5/2
=>m2=2.5kg
Now,for (m1+m2)
=>F=(m1+m2)a
=>a=F/(m1+m2)
=>a=5/(5+2.5)
=>a=5/7.5
=>a=0.67m/s²
Thus,acceleration of the system when both the masses are tied together is 0.67m/s².
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