Question

In a system of units, the
unit of force is 100n
of length is 10m and unit
of time is 100s what is
the mass​ of the system

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

In a system of units, the unit of force is 100n of length is 10m and unit of time is 100s what is

the mass of the system

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Force ( F ) = 100 N
• Lenght ( x ) = 10 m
• Time ( t ) = 100 s

$\large\underline{\underline{\sf To\:Find:}}$

• Mass of system ( m )

✪$\large{\boxed{\bf \blue{a = \dfrac{dv}{dt} }}}$

✪$\large{\boxed{\bf \blue{ v = \dfrac{dx}{dt}}}}$

$\implies{\sf v = \dfrac{10}{100} }$

$\implies{\bf v = 0.1\:m/s }$

$\implies{\sf a = \dfrac{0.1}{100} }$

$\implies{\bf a = 10^{-4}\:m/s^2 }$

✪$\large{\boxed{\bf \blue{Force(F)=Mass(m)×Acceleration (a) }}}$

$\implies{\sf 100=m ×10^{-4}}$

$\implies{\sf m = \dfrac{100}{10^{-4}}}$

$\implies{\bf \red{Mass\:(m)=10^5\:kg} }$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Mass of the system is ${\bf \red{10^5\:kg}}$