A 5 N force is defined when a mass of 10 kg is accelerated with

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5.0 cm/s²

0.5 m/s²

0.5 cm/s²

5.0 m/s²

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC NDA-1 – 2022

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This question requires the application of Newton’s Second Law of Motion, which states that Force (F) equals mass (m) times acceleration (a), or F = ma. We are given the force (F = 5 N) and the mass (m = 10 kg) and asked to find the acceleration (a) with which the mass is accelerated by this force. Rearranging the formula, we get a = F/m. Plugging in the given values: a = 5 N / 10 kg. Recalling that 1 Newton (N) is defined as 1 kg⋅m/s², the units work out correctly: a = (5 kg⋅m/s²) / 10 kg = 0.5 m/s². Checking the options, 0.5 m/s² corresponds to option B.

Newton’s Second Law (F=ma) is fundamental in relating force, mass, and acceleration. Ensure consistent units (SI units like Newtons, kilograms, and meters per second squared).

Option A (5.0 cm/s²) is 0.05 m/s², Option C (0.5 cm/s²) is 0.005 m/s², and Option D (5.0 m/s²) is significantly larger than the calculated value. It’s important to be careful with unit conversions (cm to m).

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