SOLUTION: Newton's Second Law of Motion states that the acceleration of the object varies inversely with its mass. A constant force acting upon an object with mass 9 kg produces an accelerat

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Question 450461: Newton's Second Law of Motion states that the acceleration of the object varies inversely with its mass. A constant force acting upon an object with mass 9 kg produces an acceleration of 5 m/s (squared). The acceleration of another object produced by the same force is 3 m/s (squared). What is the mass of this object?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Inversely proportional means that

(9 kg)(5 m/s^2) = M(3 m/s^2)

where M is the mass of the second object. Solving, we get M = 15 kg.



Or, if you know Newton's second law (Force = mass*acceleration) we have

F = (9 kg)(5 m/s^2) = 45 N = M(3 m/s^2). Here, we also obtain M = 15 kg.