Question

Write the dimension of the following quantities

a) Gravitation constant G (Use the equation

F = Gm1m2/r2





(F – force, m- mass and r – distance)

b) Work (Use the equation W = F × S F – force S – Displacement )​

Answer 1

Answer:

Gravitation Constant Dimension

F = Gm1m2/r2

Fr2 = Gm1m2

Fr²/m1m2 = G

Nm²/kg.kg = G. N= kgms-2

kgms-²m²/kg²

kg-¹m³s-²

[M-¹L³T-²]

b) Work = J

J = N.m. N=kgms-²

= kgms-²m

= kgm²s-²

=[ML²T-²]