A net force of magnitude 36 N gives an object of mass m1 an acceleration of 6.0 m/s^2. The same net force gives m1 and another object of mass m2 fastened together an acceleration of 2.0 m/s^2. What acceleration will m2 experience if the same net force acts on it alone?

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27-10-2016
Physics

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A net force of magnitude 36 N gives an object of mass m1 an acceleration of 6.0 m/s^2. The same net force gives m1 and another object of mass m2 fastened together an acceleration of 2.0 m/s^2. What acceleration will m2 experience if the same net force acts on it alone?

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AL2006 AL2006 · Answer 1 · 2016-10-27T05:36:53+02:00

This is a beautiful problem to test whether a student actually understands
Newton's 2nd law of motion . . . Force = (mass) x (acceleration).

That simple law is all you need to solve this problem, but you need to
use it a few times.

m₁ alone:
   Force = (mass) x (acceleration)

   36 N = ( m₁ ) x (6 m/s²)

   m₁ = (36 N) / (6 m/s²)

   m₁ = 6 kilograms .

m₁ and m₂ glued together:
   Force = (mass) x (acceleration)

   36 N = (6 kg + m₂) x (2 m/s²)

   6 kg + m₂ = (36 N) / (2 m/s²) = 18 kilograms

   m₂ = 12 kilograms .

m₂ alone:
   Force = (mass) x (acceleration)

   36 N = (12 kg) x (acceleration)

   Acceleration = (36 N) / (12 kg)

   Acceleration =   3 m/s²