Question

Convert the value of universal gravitational constant G = 6.67 X 10-11Nm2

/Kg2

from SI to a system in

which mass is measured in 10mg, length is measured in 100mm and time is measured in 1/60minutes.​

Answer 1

Answer:

Explanation:

Convert the value of universal gravitational constant G = 6.67 X 10-11Nm2

/Kg2

from SI to a system in

which mass is measured in 10mg, length is measured in 100mm and time is measured in 1/60minutes.​

Answer 2

We have to convert the value of universal gravitational constant, G = 6.67 × 10¯¹¹ Nm²/Kg² from SI to a system in which mass is measured in 10mg, length is measured in 100mm and time is measured in 1/60minutes.

solution : unit of G = Nm²/kg²

= kgm³/s²/kg²

= m³/s²/kg

so we can use formula to find new value of G,

$n_2=n_1\left[\frac{M_1}{M_2}\right]^{-1}\left[\frac{L_1}{L_2}\right]^3\left[\frac{T_1}{T_2}\right]^{-2}$

here, n₁ = 6.67 × 10¯¹¹

mass is measured in 10 mg = 10¯⁵ kg

length is measured in 100 mm = 0.1 m

time is measured in 1/60 min = 1 sec

so, n₂ = 6.67 × 10¯¹¹ (1kg/10¯⁵ kg)¯¹ (1m/0.1m)³ (1s/1s)¯²

= 6.67 × 10¯¹¹ × 10¯⁵ × 10³

= 6.67 × 10¯¹³

Therefore, for the new system, the value of G would be 6.67 × 10¯¹³ units.