Question

49. A force produces an acceleration of 3 m/s2, in a body and the same force produces and acceleration of 6m/s2 in another body. If the two bodies are combined and the same force is applied on the combination, the acceleration produced in its is​

Answer 1

force be F

mass of first body be m

mass of second body be M

F=m×3.......(1)

F=M×6.......(2)

acceleration of combined system be a

F=(m+M)a

m=F/3 (from eq 1)

M=F/6 (from eq 2)

F=(F/3 +F/6)a

on solving,a=2m/s²