When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 6 kg, the acceleration of the object is 7 / ms2. If the same force acts upon another object whose mass is 14 kg, what is this object's acceleration?

Question

Mathematics

Peyton Calderon

31 January, 16:51

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 6 kg, the acceleration of the object is 7 / ms2. If the same force acts upon another object whose mass is 14 kg, what is this object's acceleration?

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Answers (1)

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Mallory Buck · Answer 1

Answer: a = 3 m/s^2

Step-by-step explanation:

Let the acceleration of the object be represented by a

Let the constant force acting on the object be represented by k

Let the mass of the object represented by m

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. This means that

a = k/m

When a certain constant force acts upon an object with mass 6 kg, the acceleration of the object is 7 / ms2. It means that when a = 7, m = 6. We would find k. Therefore

7 = k/6

k = 7*6 = 42

The expression becomes

a = 42/m

If the same force acts upon another object whose mass is 14 kg, it means that m = 14, then

a = 42/14 = 3