Algebra

Suppose that a constant force is applied to an object. 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 12 kg produces an acceleration of 2m/s^2. The acceleration of another object produced by the same force is 3m/s^2. What is the mass of this object?

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1. a = k/m^2 , where k is constant
given: when a=2 m/s^2, m = 12 kg
2 = k/12^2
k = 288

a = 288/m^2
so when a = 3
3 = 288/m^2
3m^2 = 288
m^2 = 96
m= appr 9.8

the mass is appr 9.8 Kg

or , just use a ratio

2/3 = m^2/12^2
3m^2 = 288
etc, same as above

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posted by Reiny
2. Thank you!

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posted by Lisa
3. welcome

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posted by Reiny

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