Question

In a particular system the units of length,mass and time are chosen to be 10cm,10g and 0.1s resp.The unit of force in this system will be equal to (A)0.1N (B)1N (C)10N (D)100N

Answer 1

Hi dr.... Gud mrng...
We have,

Mass = 10 g = 0.01 kg

Length = 10 cm = 0.1 m

Time = 0.1 s

Force = mass × length × time-2

= > Force = 0.01 × 0.1 × 0.1-2 = 0.1N Correct answer is option A.
Hope this may help u...

Answer 2

Since dimension of force is kg m/s
$(kg)( m) \div (s {}^{2} )$
Hence by converting the given data in SI unit and putting in the formulae we get answer as 0.1N.
Refer following image how detail soln.