In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be

Question

In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (A) 0.1 erg (B) 1 erg (C) 10 erg (D) none of these

Tardigrade Admin · Accepted Answer

Kinetic energy =(1/2)mv2 Unit of kinetic energy =(Mass)((Length/Time))2=(100 g)((1 cm/10 s))2 =1 g cm2 s-2=1 erg

Q. In a certain system, the units of length, mass and time are chosen to be $1 c m$ , $100 g$ and $10 s$ . The unit of kinetic energy will be

$0.1 er g$

$1 er g$

$10 er g$

none of these

Kinetic energy $= \frac{1}{2} m v^{2}$
Unit of kinetic energy
$= (M a ss) (\frac{L e n g t h}{T im e})^{2} = (100 g) (\frac{1 c m}{10 s})^{2}$
$= 1 g c m^{2} s^{- 2} = 1 er g$

Q. In a certain system, the units of length, mass and time are chosen to be 1cm, 100g and 10s. The unit of kinetic energy will be

0.1erg

1erg

10erg