Question

1 newton of force is to be converted into new system of unit in which length is measured in 100 m, mass in 6 kg and time 2 minutes. the numerical value of 1 N in new system is

Answer 1

A basic concepts of dimensional analysis is
$N_1U_1=N_2U_2$ where N indicates numerical value and U indicated unit .

here, length is measured 100m
mass is measured 6kg
and time is measured 2 minutes = 120 sec

we know, dimension of force , [MLT^-2]
so, 1N = 6kg × 100m/(120sec)²
= 600/14400 kgm/s²
= 6/144 kgm/s²
= 0.0416 kgm/s²

Answer 2

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A basic concepts of dimensional analysis is

where N indicates numerical value and U indicated unit .

here, length is measured 100m

mass is measured 6kg

and time is measured 2 minutes = 120 sec

we know, dimension of force , [MLT^-2]

so, 1N = 6kg × 100m/(120sec)²

= 600/14400 kgm/s²

= 6/144 kgm/s²

= 0.0416 kgm/s²