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In a new system, unit of mass is \( 10 \mathrm{kg} \) unit of length is \( 5 \mathrm{m} \) and unit of time is 10s. Then in the new system 5N is equal to :

1. 5 new units
2. 10 new units
3. 15 new units
4. 20 new units

Correct answer: 10 new units

Solution

In the new system, 1 force unit equals \((10\,\text{kg})(5\,\text{m})/(10\,\text{s})^2 = 0.5\,\text{N}\). Therefore, 5 N corresponds to \(5/0.5 = 10\) new units.

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