Question 26 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 14 kg produces an acceleration of 3 / ms2. the acceleration of another object produced by the same force is 7 / ms2. what is the mass of this object?

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Physics

Jordyn Lara

2 November, 11:49

Question 26 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 14 kg produces an acceleration of 3 / ms2. the acceleration of another object produced by the same force is 7 / ms2. what is the mass of this object?

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Craig · Answer 1

The answer is 6 kg the mass of the second object. By using Inversely proportional formula it means that (14 kg) (3 m/s ²) = M (7 m/s ²). Where M is the mass of the second object. For the Newton’s second law of motion formula which is: Force = mass x acceleration, we have:

F = (14 kg) (3 m/s ²) = 42 N

Therefore:

42 N = M (7 m/s ²)

M = (42 N) / (7 m/s ²)

M = 6 kg mass of the second object