derive the unit of force using the second law of motion a force of 5N produce an acceleration of 8m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2 what acceleration would the same force provide if both the masses are tied together

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Solution

second law of motion:
Force=MassÃ—Acceleration
unit of mass is kg
unit of acceleration is m/s²
F=kgÃ—m/s²
so the unit of force is kgm/s²
1kgm/s²=1Newton
Q.)
Force=MassÃ—Acceleration
Force=5N,Mass=m1,Acceleration=8m/s²
5=m1Ã—8
m1=5/8kg
similarly,
Force=5N,Mass=m2,Acceleration=24m/s²
5=m2Ã—24
m2=5/24kg
when these masses are tied
total mass M will be = m1+m2=(5/8)+(5/24)=5/6kg
now we fin acceleration for mass M=5/6,force=5N
Force=MassÃ—Acceleration
5=(5/6)Ã—Acceleration
Acceleration=6m/s²

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