Question

In a given system of units, 1 unit of mass = 2 kg. 1 unit of length = 5 m and 1 unit of time = 5 sec. then in this system, 1 N represents:

• A. 5/2 units of force
• B. 2/5 units of force
• C. 2 units of force
• D. 1/2 units of force

Answer 1

Answer: (A)

5/2 units of force

1N can be represented as $kgm/s^2$

$1N=\frac{\left[M\right]\left[L\right]}{{\left[T\right]}^2}=\frac{\left(1Kg\right)\left(1m\right)}{{\left(1s\right)}^2}=\frac{\left(\frac{1}{2}unitofmass\right)\left(\frac{1}{5}unitoflength\right)}{{\left(\frac{1}{5}unitoftime\right)}^2}=\frac{1}{2}\times \frac{1}{5}\times \frac{5}{1}\times \frac{5}{1}unitofforce=\frac{5}{2}unitofforce.$