Question

A force of 10 N produces an acceleration of 5 m/s^2 when it acts on one body and 2 m/s^2 when it acts on another body if the two bodies are tied together and the same force is applied what will be the acceleration produced

Answer 1

mass of first body=F/a=10/5=2kg
mass of second body=10/2=5kg
when tied together, total mass=5+2=7
acceleration=F/M=10/7=1.43m/s^2

Answer 2

force acts on 1st body: 10N

acceleration produces: 5ms^-2

F =ma

10= m X 5

so, mass(m1) of the body will be 2kg

force acts on 2nd body :10N

F= ma

10= m X 2

mass (m2) of the body will be 5kg

if they tied together,

F = (m1 + m2) x a

10 = (5+2)X a

a= 10/7

= 1.42