Answer:
A) G = m³/kg.s²
B) E = kg.m²/s²
Step-by-step explanation:
A)
The given relation is:
F = Gm₁m₂/r²
where, the units of all variables are:
F = Force = kg.m/s²
m₁ = m₂ = mass = kg
r = distance = m
G = Gravitational Constant = ?
Therefore,
kg.m/s² = G(kg)(kg)/m²
(kg.m/s²)(m²/kg²) = G
G = m³/kg.s²
B)
The given equation is:
E = mc²
where, the units of all variables are:
m = mass = kg
c = speed = m/s
E = Energy = ?
Therefore,
E = (kg)(m/s)²
E = kg.m²/s²
This is the correct answer, which is not present in any option.