When a certain force is applied to the standard kilogram its acceleration is 5.0 m / s 2 . When the same force is applied to another object its acceleration is one-fifth as much. The mass of the objec

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When a certain force is applied to the standard kilogram its acceleration is 5.0 m / s 2 . When the same force is applied to another object its acceleration is one-fifth as much. The mass of the object is: [3]

TestHub · Accepted Answer

By Newton's second law, F = ma. The same force gives the standard kilogram (1 kg) an acceleration of 5.0 m/s^2:

$F = 1 \times 5.0 = 5.0 N$

The other object's acceleration is one-fifth as much, i.e. 1.0 m/s^2, under the same force:

$m = \frac{F}{a} = \frac{5.0}{1.0} = 5.0 kg$

Correct option: (D).

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