Question

State the value of universal gravitation constant in SI units

Answer 1

we know gravtitational force is

F = Gm₁m₂/r²

consider two bodies of mass m1 and m2 separated by distance r then force is directly proportional to the product of massses and inversly proportional to the square of distance b/w them after removing the proportionality we get a contant universal gravitational constant

s.i. units we can rearrang the formula to

G = Fr²/ m₁m₂

si units of force = N (newton) , r= m (meters)

mass = kg (kilograms)

substituting in the above eqn we get

units of G = Nm²/kg² or Nm²kg⁻²

also dimensional formula = [M⁻¹L³T⁻²]

Answer 2

universal gravitation constant
6.67*10^-11